Initialize repo. FreeBSD 8.2 msun code + some tweaks

README

@@ -0,0 +1,7 @@
+Openlibm is an effort to have a high quality independent 
+libm library. It is meant to be used standalone in applications and
+programming language implementations, and perhaps even as a reference
+for libm implementations in OSes.
+
+The Openlibm code derives from the FreeBSD 8.2 msun implementation,
+which in turn derives from FDLIBM 5.3.

amd64/FILES

@@ -0,0 +1,24 @@
+ Makefile.inc
+ Symbol.map
+ e_remainder.S
+ e_remainderf.S
+ e_remainderl.S
+ e_sqrt.S
+ e_sqrtf.S
+ e_sqrtl.S
+ fenv.c
+ fenv.h
+ s_llrint.S
+ s_llrintf.S
+ s_llrintl.S
+ s_logbl.S
+ s_lrint.S
+ s_lrintf.S
+ s_lrintl.S
+ s_remquo.S
+ s_remquof.S
+ s_remquol.S
+ s_rintl.S
+ s_scalbn.S
+ s_scalbnf.S
+ s_scalbnl.S

amd64/Makefile.inc

@@ -0,0 +1,10 @@
+# $FreeBSD: src/lib/msun/amd64/Makefile.inc,v 1.10 2008/03/30 21:21:52 das Exp $
+
+ARCH_SRCS = e_remainder.S e_remainderf.S e_remainderl.S \
+	    e_sqrt.S e_sqrtf.S e_sqrtl.S \
+	    s_llrint.S s_llrintf.S s_llrintl.S \
+	    s_logbl.S s_lrint.S s_lrintf.S s_lrintl.S \
+	    s_remquo.S s_remquof.S s_remquol.S \
+	    s_rintl.S s_scalbn.S s_scalbnf.S s_scalbnl.S
+LDBL_PREC = 64
+SYM_MAPS += ${.CURDIR}/amd64/Symbol.map

amd64/Symbol.map

@@ -0,0 +1,14 @@
+/*
+ * $FreeBSD: src/lib/msun/amd64/Symbol.map,v 1.2 2007/04/29 14:05:21 deischen Exp $
+ */
+FBSD_1.0 {
+	fesetexceptflag;
+	feraiseexcept;
+	fegetenv;
+	feholdexcept;
+	feupdateenv;
+	__feenableexcept;
+	__fedisableexcept;
+	feenableexcept;
+	fedisableexcept;
+};

amd64/e_remainder.S

@@ -0,0 +1,55 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Based on the i387 version written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+
+RCSID("from: FreeBSD: src/lib/msun/i387/e_remainder.S,v 1.8 2005/02/04 14:08:32 das Exp")
+__FBSDID("$FreeBSD: src/lib/msun/amd64/e_remainder.S,v 1.2 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(remainder)
+	movsd	%xmm0,-8(%rsp)
+	movsd	%xmm1,-16(%rsp)
+	fldl	-16(%rsp)
+	fldl	-8(%rsp)
+1:	fprem1
+	fstsw	%ax
+	testw	$0x400,%ax
+	jne	1b
+	fstpl	-8(%rsp)
+	movsd	-8(%rsp),%xmm0
+	fstp	%st
+	ret
+
+	.section .note.GNU-stack,"",%progbits

amd64/e_remainderf.S

@@ -0,0 +1,25 @@
+/*
+ * Based on the i387 version written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("from: $NetBSD: e_remainderf.S,v 1.2 1995/05/08 23:49:47 jtc Exp $")
+__FBSDID("$FreeBSD: src/lib/msun/amd64/e_remainderf.S,v 1.2 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(remainderf)
+	movss	%xmm0,-4(%rsp)
+	movss	%xmm1,-8(%rsp)
+	flds	-8(%rsp)
+	flds	-4(%rsp)
+1:	fprem1
+	fstsw	%ax
+	testw	$0x400,%ax
+	jne	1b
+	fstps	-4(%rsp)
+	movss	-4(%rsp),%xmm0
+	fstp	%st
+	ret
+
+	.section .note.GNU-stack,"",%progbits

amd64/e_remainderl.S

@@ -0,0 +1,50 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Based on the i387 version written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+
+__FBSDID("$FreeBSD: src/lib/msun/amd64/e_remainderl.S,v 1.2 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(remainderl)
+	fldt	24(%rsp)
+	fldt	8(%rsp)
+1:	fprem1
+	fstsw	%ax
+	testw	$0x400,%ax
+	jne	1b
+	fstp	%st(1)
+	ret
+
+	.section .note.GNU-stack,"",%progbits

amd64/e_sqrt.S

@@ -0,0 +1,36 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/amd64/e_sqrt.S,v 1.4 2011/01/07 16:13:12 kib Exp $")
+	
+ENTRY(sqrt)
+	sqrtsd	%xmm0, %xmm0
+	ret
+END(sqrt)
+
+
+	.section .note.GNU-stack,"",%progbits

amd64/e_sqrtf.S

@@ -0,0 +1,35 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/amd64/e_sqrtf.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+	
+ENTRY(sqrtf)
+	sqrtss	%xmm0, %xmm0
+	ret
+END(sqrtf)
+
+	.section .note.GNU-stack,"",%progbits

amd64/e_sqrtl.S

@@ -0,0 +1,35 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/amd64/e_sqrtl.S,v 1.2 2011/01/07 16:13:12 kib Exp $")
+	
+ENTRY(sqrtl)
+	fldt	8(%rsp)
+	fsqrt
+	ret
+
+	.section .note.GNU-stack,"",%progbits

amd64/fenv.c

@@ -0,0 +1,149 @@
+/*-
+ * Copyright (c) 2004-2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/amd64/fenv.c,v 1.5 2010/02/03 20:23:47 kib Exp $
+ */
+
+#include <sys/cdefs.h>
+#include <sys/types.h>
+#include <machine/fpu.h>
+#include <fenv.h>
+
+const fenv_t __fe_dfl_env = {
+	{ 0xffff0000 | __INITIAL_FPUCW__,
+	  0xffff0000,
+	  0xffffffff,
+	  { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+	    0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff }
+	},
+	__INITIAL_MXCSR__
+};
+
+int
+fesetexceptflag(const fexcept_t *flagp, int excepts)
+{
+	fenv_t env;
+
+	__fnstenv(&env.__x87);
+	env.__x87.__status &= ~excepts;
+	env.__x87.__status |= *flagp & excepts;
+	__fldenv(env.__x87);
+
+	__stmxcsr(&env.__mxcsr);
+	env.__mxcsr &= ~excepts;
+	env.__mxcsr |= *flagp & excepts;
+	__ldmxcsr(env.__mxcsr);
+
+	return (0);
+}
+
+int
+feraiseexcept(int excepts)
+{
+	fexcept_t ex = excepts;
+
+	fesetexceptflag(&ex, excepts);
+	__fwait();
+	return (0);
+}
+
+int
+fegetenv(fenv_t *envp)
+{
+
+	__fnstenv(&envp->__x87);
+	__stmxcsr(&envp->__mxcsr);
+	/*
+	 * fnstenv masks all exceptions, so we need to restore the
+	 * control word to avoid this side effect.
+	 */
+	__fldcw(envp->__x87.__control);
+	return (0);
+}
+
+int
+feholdexcept(fenv_t *envp)
+{
+	__uint32_t mxcsr;
+
+	__stmxcsr(&mxcsr);
+	__fnstenv(&envp->__x87);
+	__fnclex();
+	envp->__mxcsr = mxcsr;
+	mxcsr &= ~FE_ALL_EXCEPT;
+	mxcsr |= FE_ALL_EXCEPT << _SSE_EMASK_SHIFT;
+	__ldmxcsr(mxcsr);
+	return (0);
+}
+
+int
+feupdateenv(const fenv_t *envp)
+{
+	__uint32_t mxcsr;
+	__uint16_t status;
+
+	__fnstsw(&status);
+	__stmxcsr(&mxcsr);
+	fesetenv(envp);
+	feraiseexcept((mxcsr | status) & FE_ALL_EXCEPT);
+	return (0);
+}
+
+int
+__feenableexcept(int mask)
+{
+	__uint32_t mxcsr, omask;
+	__uint16_t control;
+
+	mask &= FE_ALL_EXCEPT;
+	__fnstcw(&control);
+	__stmxcsr(&mxcsr);
+	omask = (control | mxcsr >> _SSE_EMASK_SHIFT) & FE_ALL_EXCEPT;
+	control &= ~mask;
+	__fldcw(control);
+	mxcsr &= ~(mask << _SSE_EMASK_SHIFT);
+	__ldmxcsr(mxcsr);
+	return (~omask);
+}
+
+int
+__fedisableexcept(int mask)
+{
+	__uint32_t mxcsr, omask;
+	__uint16_t control;
+
+	mask &= FE_ALL_EXCEPT;
+	__fnstcw(&control);
+	__stmxcsr(&mxcsr);
+	omask = (control | mxcsr >> _SSE_EMASK_SHIFT) & FE_ALL_EXCEPT;
+	control |= mask;
+	__fldcw(control);
+	mxcsr |= mask << _SSE_EMASK_SHIFT;
+	__ldmxcsr(mxcsr);
+	return (~omask);
+}
+
+__weak_reference(__feenableexcept, feenableexcept);
+__weak_reference(__fedisableexcept, fedisableexcept);

amd64/fenv.h

@@ -0,0 +1,217 @@
+/*-
+ * Copyright (c) 2004-2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/amd64/fenv.h,v 1.7 2010/02/03 20:23:47 kib Exp $
+ */
+
+#ifndef	_FENV_H_
+#define	_FENV_H_
+
+#include <sys/cdefs.h>
+#include <sys/_types.h>
+
+typedef struct {
+	struct {
+		__uint32_t	__control;
+		__uint32_t	__status;
+		__uint32_t	__tag;
+		char		__other[16];
+	} __x87;
+	__uint32_t		__mxcsr;
+} fenv_t;
+
+typedef	__uint16_t	fexcept_t;
+
+/* Exception flags */
+#define	FE_INVALID	0x01
+#define	FE_DENORMAL	0x02
+#define	FE_DIVBYZERO	0x04
+#define	FE_OVERFLOW	0x08
+#define	FE_UNDERFLOW	0x10
+#define	FE_INEXACT	0x20
+#define	FE_ALL_EXCEPT	(FE_DIVBYZERO | FE_DENORMAL | FE_INEXACT | \
+			 FE_INVALID | FE_OVERFLOW | FE_UNDERFLOW)
+
+/* Rounding modes */
+#define	FE_TONEAREST	0x0000
+#define	FE_DOWNWARD	0x0400
+#define	FE_UPWARD	0x0800
+#define	FE_TOWARDZERO	0x0c00
+#define	_ROUND_MASK	(FE_TONEAREST | FE_DOWNWARD | \
+			 FE_UPWARD | FE_TOWARDZERO)
+
+/*
+ * As compared to the x87 control word, the SSE unit's control word
+ * has the rounding control bits offset by 3 and the exception mask
+ * bits offset by 7.
+ */
+#define	_SSE_ROUND_SHIFT	3
+#define	_SSE_EMASK_SHIFT	7
+
+__BEGIN_DECLS
+
+/* Default floating-point environment */
+extern const fenv_t	__fe_dfl_env;
+#define	FE_DFL_ENV	(&__fe_dfl_env)
+
+#define	__fldcw(__cw)		__asm __volatile("fldcw %0" : : "m" (__cw))
+#define	__fldenv(__env)		__asm __volatile("fldenv %0" : : "m" (__env))
+#define	__fldenvx(__env)	__asm __volatile("fldenv %0" : : "m" (__env)  \
+				: "st", "st(1)", "st(2)", "st(3)", "st(4)",   \
+				"st(5)", "st(6)", "st(7)")
+#define	__fnclex()		__asm __volatile("fnclex")
+#define	__fnstenv(__env)	__asm __volatile("fnstenv %0" : "=m" (*(__env)))
+#define	__fnstcw(__cw)		__asm __volatile("fnstcw %0" : "=m" (*(__cw)))
+#define	__fnstsw(__sw)		__asm __volatile("fnstsw %0" : "=am" (*(__sw)))
+#define	__fwait()		__asm __volatile("fwait")
+#define	__ldmxcsr(__csr)	__asm __volatile("ldmxcsr %0" : : "m" (__csr))
+#define	__stmxcsr(__csr)	__asm __volatile("stmxcsr %0" : "=m" (*(__csr)))
+
+static __inline int
+feclearexcept(int __excepts)
+{
+	fenv_t __env;
+
+	if (__excepts == FE_ALL_EXCEPT) {
+		__fnclex();
+	} else {
+		__fnstenv(&__env.__x87);
+		__env.__x87.__status &= ~__excepts;
+		__fldenv(__env.__x87);
+	}
+	__stmxcsr(&__env.__mxcsr);
+	__env.__mxcsr &= ~__excepts;
+	__ldmxcsr(__env.__mxcsr);
+	return (0);
+}
+
+static __inline int
+fegetexceptflag(fexcept_t *__flagp, int __excepts)
+{
+	__uint32_t __mxcsr;
+	__uint16_t __status;
+
+	__stmxcsr(&__mxcsr);
+	__fnstsw(&__status);
+	*__flagp = (__mxcsr | __status) & __excepts;
+	return (0);
+}
+
+int fesetexceptflag(const fexcept_t *__flagp, int __excepts);
+int feraiseexcept(int __excepts);
+
+static __inline int
+fetestexcept(int __excepts)
+{
+	__uint32_t __mxcsr;
+	__uint16_t __status;
+
+	__stmxcsr(&__mxcsr);
+	__fnstsw(&__status);
+	return ((__status | __mxcsr) & __excepts);
+}
+
+static __inline int
+fegetround(void)
+{
+	__uint16_t __control;
+
+	/*
+	 * We assume that the x87 and the SSE unit agree on the
+	 * rounding mode.  Reading the control word on the x87 turns
+	 * out to be about 5 times faster than reading it on the SSE
+	 * unit on an Opteron 244.
+	 */
+	__fnstcw(&__control);
+	return (__control & _ROUND_MASK);
+}
+
+static __inline int
+fesetround(int __round)
+{
+	__uint32_t __mxcsr;
+	__uint16_t __control;
+
+	if (__round & ~_ROUND_MASK)
+		return (-1);
+
+	__fnstcw(&__control);
+	__control &= ~_ROUND_MASK;
+	__control |= __round;
+	__fldcw(__control);
+
+	__stmxcsr(&__mxcsr);
+	__mxcsr &= ~(_ROUND_MASK << _SSE_ROUND_SHIFT);
+	__mxcsr |= __round << _SSE_ROUND_SHIFT;
+	__ldmxcsr(__mxcsr);
+
+	return (0);
+}
+
+int fegetenv(fenv_t *__envp);
+int feholdexcept(fenv_t *__envp);
+
+static __inline int
+fesetenv(const fenv_t *__envp)
+{
+
+	/*
+	 * XXX Using fldenvx() instead of fldenv() tells the compiler that this
+	 * instruction clobbers the i387 register stack.  This happens because
+	 * we restore the tag word from the saved environment.  Normally, this
+	 * would happen anyway and we wouldn't care, because the ABI allows
+	 * function calls to clobber the i387 regs.  However, fesetenv() is
+	 * inlined, so we need to be more careful.
+	 */
+	__fldenvx(__envp->__x87);
+	__ldmxcsr(__envp->__mxcsr);
+	return (0);
+}
+
+int feupdateenv(const fenv_t *__envp);
+
+#if __BSD_VISIBLE
+
+int feenableexcept(int __mask);
+int fedisableexcept(int __mask);
+
+static __inline int
+fegetexcept(void)
+{
+	__uint16_t __control;
+
+	/*
+	 * We assume that the masks for the x87 and the SSE unit are
+	 * the same.
+	 */
+	__fnstcw(&__control);
+	return (~__control & FE_ALL_EXCEPT);
+}
+
+#endif /* __BSD_VISIBLE */
+
+__END_DECLS
+
+#endif	/* !_FENV_H_ */

amd64/s_llrint.S

@@ -0,0 +1,6 @@
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/amd64/s_llrint.S,v 1.3 2011/02/04 21:54:06 kib Exp $")
+	
+/* sizeof(long) == sizeof(long long) */
+#define	fn	llrint
+#include "s_lrint.S"

amd64/s_llrintf.S

@@ -0,0 +1,6 @@
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/amd64/s_llrintf.S,v 1.3 2011/02/04 21:54:06 kib Exp $")
+	
+/* sizeof(long) == sizeof(long long) */
+#define	fn	llrintf
+#include "s_lrintf.S"

amd64/s_llrintl.S

@@ -0,0 +1,37 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/amd64/s_llrintl.S,v 1.2 2011/01/07 16:13:12 kib Exp $"); 
+	
+ENTRY(llrintl)
+	fldt	8(%rsp)
+	subq	$8,%rsp
+	fistpll	(%rsp)
+	popq	%rax
+	ret
+
+	.section .note.GNU-stack,"",%progbits

amd64/s_logbl.S

@@ -0,0 +1,45 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/amd64/s_logbl.S,v 1.4 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(logbl)
+	fldt	8(%rsp)
+	fxtract
+	fstp	%st
+	ret
+
+	.section .note.GNU-stack,"",%progbits

amd64/s_lrint.S

@@ -0,0 +1,39 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+
+#ifndef fn
+__FBSDID("$FreeBSD: src/lib/msun/amd64/s_lrint.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+#define	fn	lrint
+#endif
+
+ENTRY(fn)
+	cvtsd2si %xmm0, %rax
+	ret
+END(fn)
+
+	.section .note.GNU-stack,"",%progbits

amd64/s_lrintf.S

@@ -0,0 +1,39 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+
+#ifndef fn
+__FBSDID("$FreeBSD: src/lib/msun/amd64/s_lrintf.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+#define	fn	lrintf
+#endif
+
+ENTRY(fn)
+	cvtss2si %xmm0, %rax
+	ret
+END(fn)
+
+	.section .note.GNU-stack,"",%progbits

amd64/s_lrintl.S

@@ -0,0 +1,37 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/amd64/s_lrintl.S,v 1.2 2011/01/07 16:13:12 kib Exp $"); 
+	
+ENTRY(lrintl)
+	fldt	8(%rsp)
+	subq	$8,%rsp
+	fistpll	(%rsp)
+	popq	%rax
+	ret
+
+	.section .note.GNU-stack,"",%progbits

amd64/s_remquo.S

@@ -0,0 +1,68 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+/*
+ * Based on public-domain remainder routine by J.T. Conklin <jtc@NetBSD.org>.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/amd64/s_remquo.S,v 1.3 2011/01/07 16:13:12 kib Exp $"); 
+	
+ENTRY(remquo)
+	movsd	%xmm0,-8(%rsp)
+	movsd	%xmm1,-16(%rsp)
+	fldl	-16(%rsp)
+	fldl	-8(%rsp)
+1:	fprem1
+	fstsw	%ax
+	btw	$10,%ax
+	jc	1b
+	fstp	%st(1)
+/* Extract the three low-order bits of the quotient from C0,C3,C1. */
+	shrl	$6,%eax
+	movl	%eax,%ecx
+	andl	$0x108,%eax
+	rorl	$7,%eax
+	orl	%eax,%ecx
+	roll	$4,%eax
+	orl	%ecx,%eax
+	andl	$7,%eax
+/* Negate the quotient bits if x*y<0.  Avoid using an unpredictable branch. */
+	movl	-12(%rsp),%ecx
+	xorl	-4(%rsp),%ecx
+	sarl	$16,%ecx
+	sarl	$16,%ecx
+	xorl	%ecx,%eax
+	andl	$1,%ecx
+	addl	%ecx,%eax
+/* Store the quotient and return. */
+	movl	%eax,(%rdi)
+	fstpl	-8(%rsp)
+	movsd	-8(%rsp),%xmm0
+	ret
+END(remquo)
+
+	.section .note.GNU-stack,"",%progbits

amd64/s_remquof.S

@@ -0,0 +1,68 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+/*
+ * Based on public-domain remainder routine by J.T. Conklin <jtc@NetBSD.org>.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/amd64/s_remquof.S,v 1.3 2011/01/07 16:13:12 kib Exp $"); 
+	
+ENTRY(remquof)
+	movss	%xmm0,-4(%rsp)
+	movss	%xmm1,-8(%rsp)
+	flds	-8(%rsp)
+	flds	-4(%rsp)
+1:	fprem1
+	fstsw	%ax
+	btw	$10,%ax
+	jc	1b
+	fstp	%st(1)
+/* Extract the three low-order bits of the quotient from C0,C3,C1. */
+	shrl	$6,%eax
+	movl	%eax,%ecx
+	andl	$0x108,%eax
+	rorl	$7,%eax
+	orl	%eax,%ecx
+	roll	$4,%eax
+	orl	%ecx,%eax
+	andl	$7,%eax
+/* Negate the quotient bits if x*y<0.  Avoid using an unpredictable branch. */
+	movl	-8(%rsp),%ecx
+	xorl	-4(%rsp),%ecx
+	sarl	$16,%ecx
+	sarl	$16,%ecx
+	xorl	%ecx,%eax
+	andl	$1,%ecx
+	addl	%ecx,%eax
+/* Store the quotient and return. */
+	movl	%eax,(%rdi)
+	fstps	-4(%rsp)
+	movss	-4(%rsp),%xmm0
+	ret
+END(remquof)
+
+	.section .note.GNU-stack,"",%progbits

amd64/s_remquol.S

@@ -0,0 +1,64 @@
+/*-
+ * Copyright (c) 2005-2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+/*
+ * Based on public-domain remainder routine by J.T. Conklin <jtc@NetBSD.org>.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/amd64/s_remquol.S,v 1.2 2011/01/07 16:13:12 kib Exp $"); 
+	
+ENTRY(remquol)
+	fldt    24(%rsp)
+	fldt    8(%rsp)
+1:	fprem1
+	fstsw	%ax
+	btw	$10,%ax
+	jc	1b
+	fstp	%st(1)
+/* Extract the three low-order bits of the quotient from C0,C3,C1. */
+	shrl	$6,%eax
+	movl	%eax,%ecx
+	andl	$0x108,%eax
+	rorl	$7,%eax
+	orl	%eax,%ecx
+	roll	$4,%eax
+	orl	%ecx,%eax
+	andl	$7,%eax
+/* Negate the quotient bits if x*y<0.  Avoid using an unpredictable branch. */
+	movl	32(%rsp),%ecx
+	xorl	16(%rsp),%ecx
+	movsx	%cx,%ecx
+	sarl	$16,%ecx
+	sarl	$16,%ecx
+	xorl	%ecx,%eax
+	andl	$1,%ecx
+	addl	%ecx,%eax
+/* Store the quotient and return. */
+	movl	%eax,(%rdi)
+	ret
+
+	.section .note.GNU-stack,"",%progbits

amd64/s_rintl.S

@@ -0,0 +1,45 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/amd64/s_rintl.S,v 1.2 2011/01/07 16:13:12 kib Exp $
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+
+ENTRY(rintl)
+	fldt	8(%rsp)
+	frndint
+	ret
+
+	.section .note.GNU-stack,"",%progbits

amd64/s_scalbn.S

@@ -0,0 +1,42 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/amd64/s_scalbn.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(scalbn)
+	movsd	%xmm0,-8(%rsp)
+	movl	%edi,-12(%rsp)
+	fildl	-12(%rsp)
+	fldl	-8(%rsp)
+	fscale
+	fstp	%st(1)
+	fstpl	-8(%rsp)
+	movsd	-8(%rsp),%xmm0
+	ret
+END(scalbn)
+
+	.section .note.GNU-stack,"",%progbits

amd64/s_scalbnf.S

@@ -0,0 +1,45 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/amd64/s_scalbnf.S,v 1.4 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(scalbnf)
+	movss	%xmm0,-8(%rsp)
+	movl	%edi,-4(%rsp)
+	fildl	-4(%rsp)
+	flds	-8(%rsp)
+	fscale
+	fstp	%st(1)
+	fstps	-8(%rsp)
+	movss	-8(%rsp),%xmm0
+	ret
+END(scalbnf)
+
+.globl CNAME(ldexpf)
+.set	CNAME(ldexpf),CNAME(scalbnf)
+
+	.section .note.GNU-stack,"",%progbits

amd64/s_scalbnl.S

@@ -0,0 +1,22 @@
+/*
+ * Based on code written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/amd64/s_scalbnl.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+/* RCSID("$NetBSD: s_scalbnf.S,v 1.4 1999/01/02 05:15:40 kristerw Exp $") */
+
+ENTRY(scalbnl)
+	movl	%edi,-4(%rsp)
+	fildl	-4(%rsp)
+	fldt	8(%rsp)
+	fscale
+	fstp	%st(1)
+	ret
+END(scalbnl)
+
+.globl	CNAME(ldexpl)
+.set	CNAME(ldexpl),CNAME(scalbnl)
+
+	.section .note.GNU-stack,"",%progbits

bsdsrc/FILES

@@ -0,0 +1,4 @@
+b_exp.c
+b_log.c
+b_tgamma.c
+mathimpl.h

bsdsrc/b_exp.c

@@ -0,0 +1,175 @@
+/*
+ * Copyright (c) 1985, 1993
+ *	The Regents of the University of California.  All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *	This product includes software developed by the University of
+ *	California, Berkeley and its contributors.
+ * 4. Neither the name of the University nor the names of its contributors
+ *    may be used to endorse or promote products derived from this software
+ *    without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+/* @(#)exp.c	8.1 (Berkeley) 6/4/93 */
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: src/lib/msun/bsdsrc/b_exp.c,v 1.8 2008/02/22 02:26:51 das Exp $");
+
+
+/* EXP(X)
+ * RETURN THE EXPONENTIAL OF X
+ * DOUBLE PRECISION (IEEE 53 bits, VAX D FORMAT 56 BITS)
+ * CODED IN C BY K.C. NG, 1/19/85;
+ * REVISED BY K.C. NG on 2/6/85, 2/15/85, 3/7/85, 3/24/85, 4/16/85, 6/14/86.
+ *
+ * Required system supported functions:
+ *	scalb(x,n)
+ *	copysign(x,y)
+ *	finite(x)
+ *
+ * Method:
+ *	1. Argument Reduction: given the input x, find r and integer k such
+ *	   that
+ *	                   x = k*ln2 + r,  |r| <= 0.5*ln2 .
+ *	   r will be represented as r := z+c for better accuracy.
+ *
+ *	2. Compute exp(r) by
+ *
+ *		exp(r) = 1 + r + r*R1/(2-R1),
+ *	   where
+ *		R1 = x - x^2*(p1+x^2*(p2+x^2*(p3+x^2*(p4+p5*x^2)))).
+ *
+ *	3. exp(x) = 2^k * exp(r) .
+ *
+ * Special cases:
+ *	exp(INF) is INF, exp(NaN) is NaN;
+ *	exp(-INF)=  0;
+ *	for finite argument, only exp(0)=1 is exact.
+ *
+ * Accuracy:
+ *	exp(x) returns the exponential of x nearly rounded. In a test run
+ *	with 1,156,000 random arguments on a VAX, the maximum observed
+ *	error was 0.869 ulps (units in the last place).
+ */
+
+#include "mathimpl.h"
+
+const static double p1 = 0x1.555555555553ep-3;
+const static double p2 = -0x1.6c16c16bebd93p-9;
+const static double p3 = 0x1.1566aaf25de2cp-14;
+const static double p4 = -0x1.bbd41c5d26bf1p-20;
+const static double p5 = 0x1.6376972bea4d0p-25;
+const static double ln2hi = 0x1.62e42fee00000p-1;
+const static double ln2lo = 0x1.a39ef35793c76p-33;
+const static double lnhuge = 0x1.6602b15b7ecf2p9;
+const static double lntiny = -0x1.77af8ebeae354p9;
+const static double invln2 = 0x1.71547652b82fep0;
+
+#if 0
+double exp(x)
+double x;
+{
+	double  z,hi,lo,c;
+	int k;
+
+#if !defined(vax)&&!defined(tahoe)
+	if(x!=x) return(x);	/* x is NaN */
+#endif	/* !defined(vax)&&!defined(tahoe) */
+	if( x <= lnhuge ) {
+		if( x >= lntiny ) {
+
+		    /* argument reduction : x --> x - k*ln2 */
+
+			k=invln2*x+copysign(0.5,x);	/* k=NINT(x/ln2) */
+
+		    /* express x-k*ln2 as hi-lo and let x=hi-lo rounded */
+
+			hi=x-k*ln2hi;
+			x=hi-(lo=k*ln2lo);
+
+		    /* return 2^k*[1+x+x*c/(2+c)]  */
+			z=x*x;
+			c= x - z*(p1+z*(p2+z*(p3+z*(p4+z*p5))));
+			return  scalb(1.0+(hi-(lo-(x*c)/(2.0-c))),k);
+
+		}
+		/* end of x > lntiny */
+
+		else
+		     /* exp(-big#) underflows to zero */
+		     if(finite(x))  return(scalb(1.0,-5000));
+
+		     /* exp(-INF) is zero */
+		     else return(0.0);
+	}
+	/* end of x < lnhuge */
+
+	else
+	/* exp(INF) is INF, exp(+big#) overflows to INF */
+	    return( finite(x) ?  scalb(1.0,5000)  : x);
+}
+#endif
+
+/* returns exp(r = x + c) for |c| < |x| with no overlap.  */
+
+double __exp__D(x, c)
+double x, c;
+{
+	double  z,hi,lo;
+	int k;
+
+	if (x != x)	/* x is NaN */
+		return(x);
+	if ( x <= lnhuge ) {
+		if ( x >= lntiny ) {
+
+		    /* argument reduction : x --> x - k*ln2 */
+			z = invln2*x;
+			k = z + copysign(.5, x);
+
+		    /* express (x+c)-k*ln2 as hi-lo and let x=hi-lo rounded */
+
+			hi=(x-k*ln2hi);			/* Exact. */
+			x= hi - (lo = k*ln2lo-c);
+		    /* return 2^k*[1+x+x*c/(2+c)]  */
+			z=x*x;
+			c= x - z*(p1+z*(p2+z*(p3+z*(p4+z*p5))));
+			c = (x*c)/(2.0-c);
+
+			return  scalb(1.+(hi-(lo - c)), k);
+		}
+		/* end of x > lntiny */
+
+		else
+		     /* exp(-big#) underflows to zero */
+		     if(finite(x))  return(scalb(1.0,-5000));
+
+		     /* exp(-INF) is zero */
+		     else return(0.0);
+	}
+	/* end of x < lnhuge */
+
+	else
+	/* exp(INF) is INF, exp(+big#) overflows to INF */
+	    return( finite(x) ?  scalb(1.0,5000)  : x);
+}

bsdsrc/b_log.c

@@ -0,0 +1,471 @@
+/*
+ * Copyright (c) 1992, 1993
+ *	The Regents of the University of California.  All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *	This product includes software developed by the University of
+ *	California, Berkeley and its contributors.
+ * 4. Neither the name of the University nor the names of its contributors
+ *    may be used to endorse or promote products derived from this software
+ *    without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+/* @(#)log.c	8.2 (Berkeley) 11/30/93 */
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: src/lib/msun/bsdsrc/b_log.c,v 1.9 2008/02/22 02:26:51 das Exp $");
+
+#include <math.h>
+#include <errno.h>
+
+#include "mathimpl.h"
+
+/* Table-driven natural logarithm.
+ *
+ * This code was derived, with minor modifications, from:
+ *	Peter Tang, "Table-Driven Implementation of the
+ *	Logarithm in IEEE Floating-Point arithmetic." ACM Trans.
+ *	Math Software, vol 16. no 4, pp 378-400, Dec 1990).
+ *
+ * Calculates log(2^m*F*(1+f/F)), |f/j| <= 1/256,
+ * where F = j/128 for j an integer in [0, 128].
+ *
+ * log(2^m) = log2_hi*m + log2_tail*m
+ * since m is an integer, the dominant term is exact.
+ * m has at most 10 digits (for subnormal numbers),
+ * and log2_hi has 11 trailing zero bits.
+ *
+ * log(F) = logF_hi[j] + logF_lo[j] is in tabular form in log_table.h
+ * logF_hi[] + 512 is exact.
+ *
+ * log(1+f/F) = 2*f/(2*F + f) + 1/12 * (2*f/(2*F + f))**3 + ...
+ * the leading term is calculated to extra precision in two
+ * parts, the larger of which adds exactly to the dominant
+ * m and F terms.
+ * There are two cases:
+ *	1. when m, j are non-zero (m | j), use absolute
+ *	   precision for the leading term.
+ *	2. when m = j = 0, |1-x| < 1/256, and log(x) ~= (x-1).
+ *	   In this case, use a relative precision of 24 bits.
+ * (This is done differently in the original paper)
+ *
+ * Special cases:
+ *	0	return signalling -Inf
+ *	neg	return signalling NaN
+ *	+Inf	return +Inf
+*/
+
+#define N 128
+
+/* Table of log(Fj) = logF_head[j] + logF_tail[j], for Fj = 1+j/128.
+ * Used for generation of extend precision logarithms.
+ * The constant 35184372088832 is 2^45, so the divide is exact.
+ * It ensures correct reading of logF_head, even for inaccurate
+ * decimal-to-binary conversion routines.  (Everybody gets the
+ * right answer for integers less than 2^53.)
+ * Values for log(F) were generated using error < 10^-57 absolute
+ * with the bc -l package.
+*/
+static double	A1 = 	  .08333333333333178827;
+static double	A2 = 	  .01250000000377174923;
+static double	A3 =	 .002232139987919447809;
+static double	A4 =	.0004348877777076145742;
+
+static double logF_head[N+1] = {
+	0.,
+	.007782140442060381246,
+	.015504186535963526694,
+	.023167059281547608406,
+	.030771658666765233647,
+	.038318864302141264488,
+	.045809536031242714670,
+	.053244514518837604555,
+	.060624621816486978786,
+	.067950661908525944454,
+	.075223421237524235039,
+	.082443669210988446138,
+	.089612158689760690322,
+	.096729626458454731618,
+	.103796793681567578460,
+	.110814366340264314203,
+	.117783035656430001836,
+	.124703478501032805070,
+	.131576357788617315236,
+	.138402322859292326029,
+	.145182009844575077295,
+	.151916042025732167530,
+	.158605030176659056451,
+	.165249572895390883786,
+	.171850256926518341060,
+	.178407657472689606947,
+	.184922338493834104156,
+	.191394852999565046047,
+	.197825743329758552135,
+	.204215541428766300668,
+	.210564769107350002741,
+	.216873938300523150246,
+	.223143551314024080056,
+	.229374101064877322642,
+	.235566071312860003672,
+	.241719936886966024758,
+	.247836163904594286577,
+	.253915209980732470285,
+	.259957524436686071567,
+	.265963548496984003577,
+	.271933715484010463114,
+	.277868451003087102435,
+	.283768173130738432519,
+	.289633292582948342896,
+	.295464212893421063199,
+	.301261330578199704177,
+	.307025035294827830512,
+	.312755710004239517729,
+	.318453731118097493890,
+	.324119468654316733591,
+	.329753286372579168528,
+	.335355541920762334484,
+	.340926586970454081892,
+	.346466767346100823488,
+	.351976423156884266063,
+	.357455888922231679316,
+	.362905493689140712376,
+	.368325561158599157352,
+	.373716409793814818840,
+	.379078352934811846353,
+	.384411698910298582632,
+	.389716751140440464951,
+	.394993808240542421117,
+	.400243164127459749579,
+	.405465108107819105498,
+	.410659924985338875558,
+	.415827895143593195825,
+	.420969294644237379543,
+	.426084395310681429691,
+	.431173464818130014464,
+	.436236766774527495726,
+	.441274560805140936281,
+	.446287102628048160113,
+	.451274644139630254358,
+	.456237433481874177232,
+	.461175715122408291790,
+	.466089729924533457960,
+	.470979715219073113985,
+	.475845904869856894947,
+	.480688529345570714212,
+	.485507815781602403149,
+	.490303988045525329653,
+	.495077266798034543171,
+	.499827869556611403822,
+	.504556010751912253908,
+	.509261901790523552335,
+	.513945751101346104405,
+	.518607764208354637958,
+	.523248143765158602036,
+	.527867089620485785417,
+	.532464798869114019908,
+	.537041465897345915436,
+	.541597282432121573947,
+	.546132437597407260909,
+	.550647117952394182793,
+	.555141507540611200965,
+	.559615787935399566777,
+	.564070138285387656651,
+	.568504735352689749561,
+	.572919753562018740922,
+	.577315365035246941260,
+	.581691739635061821900,
+	.586049045003164792433,
+	.590387446602107957005,
+	.594707107746216934174,
+	.599008189645246602594,
+	.603290851438941899687,
+	.607555250224322662688,
+	.611801541106615331955,
+	.616029877215623855590,
+	.620240409751204424537,
+	.624433288012369303032,
+	.628608659422752680256,
+	.632766669570628437213,
+	.636907462236194987781,
+	.641031179420679109171,
+	.645137961373620782978,
+	.649227946625615004450,
+	.653301272011958644725,
+	.657358072709030238911,
+	.661398482245203922502,
+	.665422632544505177065,
+	.669430653942981734871,
+	.673422675212350441142,
+	.677398823590920073911,
+	.681359224807238206267,
+	.685304003098281100392,
+	.689233281238557538017,
+	.693147180560117703862
+};
+
+static double logF_tail[N+1] = {
+	0.,
+	-.00000000000000543229938420049,
+	 .00000000000000172745674997061,
+	-.00000000000001323017818229233,
+	-.00000000000001154527628289872,
+	-.00000000000000466529469958300,
+	 .00000000000005148849572685810,
+	-.00000000000002532168943117445,
+	-.00000000000005213620639136504,
+	-.00000000000001819506003016881,
+	 .00000000000006329065958724544,
+	 .00000000000008614512936087814,
+	-.00000000000007355770219435028,
+	 .00000000000009638067658552277,
+	 .00000000000007598636597194141,
+	 .00000000000002579999128306990,
+	-.00000000000004654729747598444,
+	-.00000000000007556920687451336,
+	 .00000000000010195735223708472,
+	-.00000000000017319034406422306,
+	-.00000000000007718001336828098,
+	 .00000000000010980754099855238,
+	-.00000000000002047235780046195,
+	-.00000000000008372091099235912,
+	 .00000000000014088127937111135,
+	 .00000000000012869017157588257,
+	 .00000000000017788850778198106,
+	 .00000000000006440856150696891,
+	 .00000000000016132822667240822,
+	-.00000000000007540916511956188,
+	-.00000000000000036507188831790,
+	 .00000000000009120937249914984,
+	 .00000000000018567570959796010,
+	-.00000000000003149265065191483,
+	-.00000000000009309459495196889,
+	 .00000000000017914338601329117,
+	-.00000000000001302979717330866,
+	 .00000000000023097385217586939,
+	 .00000000000023999540484211737,
+	 .00000000000015393776174455408,
+	-.00000000000036870428315837678,
+	 .00000000000036920375082080089,
+	-.00000000000009383417223663699,
+	 .00000000000009433398189512690,
+	 .00000000000041481318704258568,
+	-.00000000000003792316480209314,
+	 .00000000000008403156304792424,
+	-.00000000000034262934348285429,
+	 .00000000000043712191957429145,
+	-.00000000000010475750058776541,
+	-.00000000000011118671389559323,
+	 .00000000000037549577257259853,
+	 .00000000000013912841212197565,
+	 .00000000000010775743037572640,
+	 .00000000000029391859187648000,
+	-.00000000000042790509060060774,
+	 .00000000000022774076114039555,
+	 .00000000000010849569622967912,
+	-.00000000000023073801945705758,
+	 .00000000000015761203773969435,
+	 .00000000000003345710269544082,
+	-.00000000000041525158063436123,
+	 .00000000000032655698896907146,
+	-.00000000000044704265010452446,
+	 .00000000000034527647952039772,
+	-.00000000000007048962392109746,
+	 .00000000000011776978751369214,
+	-.00000000000010774341461609578,
+	 .00000000000021863343293215910,
+	 .00000000000024132639491333131,
+	 .00000000000039057462209830700,
+	-.00000000000026570679203560751,
+	 .00000000000037135141919592021,
+	-.00000000000017166921336082431,
+	-.00000000000028658285157914353,
+	-.00000000000023812542263446809,
+	 .00000000000006576659768580062,
+	-.00000000000028210143846181267,
+	 .00000000000010701931762114254,
+	 .00000000000018119346366441110,
+	 .00000000000009840465278232627,
+	-.00000000000033149150282752542,
+	-.00000000000018302857356041668,
+	-.00000000000016207400156744949,
+	 .00000000000048303314949553201,
+	-.00000000000071560553172382115,
+	 .00000000000088821239518571855,
+	-.00000000000030900580513238244,
+	-.00000000000061076551972851496,
+	 .00000000000035659969663347830,
+	 .00000000000035782396591276383,
+	-.00000000000046226087001544578,
+	 .00000000000062279762917225156,
+	 .00000000000072838947272065741,
+	 .00000000000026809646615211673,
+	-.00000000000010960825046059278,
+	 .00000000000002311949383800537,
+	-.00000000000058469058005299247,
+	-.00000000000002103748251144494,
+	-.00000000000023323182945587408,
+	-.00000000000042333694288141916,
+	-.00000000000043933937969737844,
+	 .00000000000041341647073835565,
+	 .00000000000006841763641591466,
+	 .00000000000047585534004430641,
+	 .00000000000083679678674757695,
+	-.00000000000085763734646658640,
+	 .00000000000021913281229340092,
+	-.00000000000062242842536431148,
+	-.00000000000010983594325438430,
+	 .00000000000065310431377633651,
+	-.00000000000047580199021710769,
+	-.00000000000037854251265457040,
+	 .00000000000040939233218678664,
+	 .00000000000087424383914858291,
+	 .00000000000025218188456842882,
+	-.00000000000003608131360422557,
+	-.00000000000050518555924280902,
+	 .00000000000078699403323355317,
+	-.00000000000067020876961949060,
+	 .00000000000016108575753932458,
+	 .00000000000058527188436251509,
+	-.00000000000035246757297904791,
+	-.00000000000018372084495629058,
+	 .00000000000088606689813494916,
+	 .00000000000066486268071468700,
+	 .00000000000063831615170646519,
+	 .00000000000025144230728376072,
+	-.00000000000017239444525614834
+};
+
+#if 0
+double
+#ifdef _ANSI_SOURCE
+log(double x)
+#else
+log(x) double x;
+#endif
+{
+	int m, j;
+	double F, f, g, q, u, u2, v, zero = 0.0, one = 1.0;
+	volatile double u1;
+
+	/* Catch special cases */
+	if (x <= 0)
+		if (x == zero)	/* log(0) = -Inf */
+			return (-one/zero);
+		else		/* log(neg) = NaN */
+			return (zero/zero);
+	else if (!finite(x))
+		return (x+x);		/* x = NaN, Inf */
+
+	/* Argument reduction: 1 <= g < 2; x/2^m = g;	*/
+	/* y = F*(1 + f/F) for |f| <= 2^-8		*/
+
+	m = logb(x);
+	g = ldexp(x, -m);
+	if (m == -1022) {
+		j = logb(g), m += j;
+		g = ldexp(g, -j);
+	}
+	j = N*(g-1) + .5;
+	F = (1.0/N) * j + 1;	/* F*128 is an integer in [128, 512] */
+	f = g - F;
+
+	/* Approximate expansion for log(1+f/F) ~= u + q */
+	g = 1/(2*F+f);
+	u = 2*f*g;
+	v = u*u;
+	q = u*v*(A1 + v*(A2 + v*(A3 + v*A4)));
+
+    /* case 1: u1 = u rounded to 2^-43 absolute.  Since u < 2^-8,
+     * 	       u1 has at most 35 bits, and F*u1 is exact, as F has < 8 bits.
+     *         It also adds exactly to |m*log2_hi + log_F_head[j] | < 750
+    */
+	if (m | j)
+		u1 = u + 513, u1 -= 513;
+
+    /* case 2:	|1-x| < 1/256. The m- and j- dependent terms are zero;
+     * 		u1 = u to 24 bits.
+    */
+	else
+		u1 = u, TRUNC(u1);
+	u2 = (2.0*(f - F*u1) - u1*f) * g;
+			/* u1 + u2 = 2f/(2F+f) to extra precision.	*/
+
+	/* log(x) = log(2^m*F*(1+f/F)) =				*/
+	/* (m*log2_hi+logF_head[j]+u1) + (m*log2_lo+logF_tail[j]+q);	*/
+	/* (exact) + (tiny)						*/
+
+	u1 += m*logF_head[N] + logF_head[j];		/* exact */
+	u2 = (u2 + logF_tail[j]) + q;			/* tiny */
+	u2 += logF_tail[N]*m;
+	return (u1 + u2);
+}
+#endif
+
+/*
+ * Extra precision variant, returning struct {double a, b;};
+ * log(x) = a+b to 63 bits, with a rounded to 26 bits.
+ */
+struct Double
+#ifdef _ANSI_SOURCE
+__log__D(double x)
+#else
+__log__D(x) double x;
+#endif
+{
+	int m, j;
+	double F, f, g, q, u, v, u2;
+	volatile double u1;
+	struct Double r;
+
+	/* Argument reduction: 1 <= g < 2; x/2^m = g;	*/
+	/* y = F*(1 + f/F) for |f| <= 2^-8		*/
+
+	m = logb(x);
+	g = ldexp(x, -m);
+	if (m == -1022) {
+		j = logb(g), m += j;
+		g = ldexp(g, -j);
+	}
+	j = N*(g-1) + .5;
+	F = (1.0/N) * j + 1;
+	f = g - F;
+
+	g = 1/(2*F+f);
+	u = 2*f*g;
+	v = u*u;
+	q = u*v*(A1 + v*(A2 + v*(A3 + v*A4)));
+	if (m | j)
+		u1 = u + 513, u1 -= 513;
+	else
+		u1 = u, TRUNC(u1);
+	u2 = (2.0*(f - F*u1) - u1*f) * g;
+
+	u1 += m*logF_head[N] + logF_head[j];
+
+	u2 +=  logF_tail[j]; u2 += q;
+	u2 += logF_tail[N]*m;
+	r.a = u1 + u2;			/* Only difference is here */
+	TRUNC(r.a);
+	r.b = (u1 - r.a) + u2;
+	return (r);
+}

bsdsrc/b_tgamma.c

@@ -0,0 +1,317 @@
+/*-
+ * Copyright (c) 1992, 1993
+ *	The Regents of the University of California.  All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *	This product includes software developed by the University of
+ *	California, Berkeley and its contributors.
+ * 4. Neither the name of the University nor the names of its contributors
+ *    may be used to endorse or promote products derived from this software
+ *    without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+/* @(#)gamma.c	8.1 (Berkeley) 6/4/93 */
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: src/lib/msun/bsdsrc/b_tgamma.c,v 1.10 2008/02/22 02:26:51 das Exp $");
+
+/*
+ * This code by P. McIlroy, Oct 1992;
+ *
+ * The financial support of UUNET Communications Services is greatfully
+ * acknowledged.
+ */
+
+#include <math.h>
+#include "mathimpl.h"
+
+/* METHOD:
+ * x < 0: Use reflection formula, G(x) = pi/(sin(pi*x)*x*G(x))
+ * 	At negative integers, return NaN and raise invalid.
+ *
+ * x < 6.5:
+ *	Use argument reduction G(x+1) = xG(x) to reach the
+ *	range [1.066124,2.066124].  Use a rational
+ *	approximation centered at the minimum (x0+1) to
+ *	ensure monotonicity.
+ *
+ * x >= 6.5: Use the asymptotic approximation (Stirling's formula)
+ *	adjusted for equal-ripples:
+ *
+ *	log(G(x)) ~= (x-.5)*(log(x)-1) + .5(log(2*pi)-1) + 1/x*P(1/(x*x))
+ *
+ *	Keep extra precision in multiplying (x-.5)(log(x)-1), to
+ *	avoid premature round-off.
+ *
+ * Special values:
+ *	-Inf:			return NaN and raise invalid;
+ *	negative integer:	return NaN and raise invalid;
+ *	other x ~< 177.79:	return +-0 and raise underflow;
+ *	+-0:			return +-Inf and raise divide-by-zero;
+ *	finite x ~> 171.63:	return +Inf and raise overflow;
+ *	+Inf:			return +Inf;
+ *	NaN: 			return NaN.
+ *
+ * Accuracy: tgamma(x) is accurate to within
+ *	x > 0:  error provably < 0.9ulp.
+ *	Maximum observed in 1,000,000 trials was .87ulp.
+ *	x < 0:
+ *	Maximum observed error < 4ulp in 1,000,000 trials.
+ */
+
+static double neg_gam(double);
+static double small_gam(double);
+static double smaller_gam(double);
+static struct Double large_gam(double);
+static struct Double ratfun_gam(double, double);
+
+/*
+ * Rational approximation, A0 + x*x*P(x)/Q(x), on the interval
+ * [1.066.., 2.066..] accurate to 4.25e-19.
+ */
+#define LEFT -.3955078125	/* left boundary for rat. approx */
+#define x0 .461632144968362356785	/* xmin - 1 */
+
+#define a0_hi 0.88560319441088874992
+#define a0_lo -.00000000000000004996427036469019695
+#define P0	 6.21389571821820863029017800727e-01
+#define P1	 2.65757198651533466104979197553e-01
+#define P2	 5.53859446429917461063308081748e-03
+#define P3	 1.38456698304096573887145282811e-03
+#define P4	 2.40659950032711365819348969808e-03
+#define Q0	 1.45019531250000000000000000000e+00
+#define Q1	 1.06258521948016171343454061571e+00
+#define Q2	-2.07474561943859936441469926649e-01
+#define Q3	-1.46734131782005422506287573015e-01
+#define Q4	 3.07878176156175520361557573779e-02
+#define Q5	 5.12449347980666221336054633184e-03
+#define Q6	-1.76012741431666995019222898833e-03
+#define Q7	 9.35021023573788935372153030556e-05
+#define Q8	 6.13275507472443958924745652239e-06
+/*
+ * Constants for large x approximation (x in [6, Inf])
+ * (Accurate to 2.8*10^-19 absolute)
+ */
+#define lns2pi_hi 0.418945312500000
+#define lns2pi_lo -.000006779295327258219670263595
+#define Pa0	 8.33333333333333148296162562474e-02
+#define Pa1	-2.77777777774548123579378966497e-03
+#define Pa2	 7.93650778754435631476282786423e-04
+#define Pa3	-5.95235082566672847950717262222e-04
+#define Pa4	 8.41428560346653702135821806252e-04
+#define Pa5	-1.89773526463879200348872089421e-03
+#define Pa6	 5.69394463439411649408050664078e-03
+#define Pa7	-1.44705562421428915453880392761e-02
+
+static const double zero = 0., one = 1.0, tiny = 1e-300;
+
+double
+tgamma(x)
+	double x;
+{
+	struct Double u;
+
+	if (x >= 6) {
+		if(x > 171.63)
+			return (x / zero);
+		u = large_gam(x);
+		return(__exp__D(u.a, u.b));
+	} else if (x >= 1.0 + LEFT + x0)
+		return (small_gam(x));
+	else if (x > 1.e-17)
+		return (smaller_gam(x));
+	else if (x > -1.e-17) {
+		if (x != 0.0)
+			u.a = one - tiny;	/* raise inexact */
+		return (one/x);
+	} else if (!finite(x))
+		return (x - x);		/* x is NaN or -Inf */
+	else
+		return (neg_gam(x));
+}
+/*
+ * Accurate to max(ulp(1/128) absolute, 2^-66 relative) error.
+ */
+static struct Double
+large_gam(x)
+	double x;
+{
+	double z, p;
+	struct Double t, u, v;
+
+	z = one/(x*x);
+	p = Pa0+z*(Pa1+z*(Pa2+z*(Pa3+z*(Pa4+z*(Pa5+z*(Pa6+z*Pa7))))));
+	p = p/x;
+
+	u = __log__D(x);
+	u.a -= one;
+	v.a = (x -= .5);
+	TRUNC(v.a);
+	v.b = x - v.a;
+	t.a = v.a*u.a;			/* t = (x-.5)*(log(x)-1) */
+	t.b = v.b*u.a + x*u.b;
+	/* return t.a + t.b + lns2pi_hi + lns2pi_lo + p */
+	t.b += lns2pi_lo; t.b += p;
+	u.a = lns2pi_hi + t.b; u.a += t.a;
+	u.b = t.a - u.a;
+	u.b += lns2pi_hi; u.b += t.b;
+	return (u);
+}
+/*
+ * Good to < 1 ulp.  (provably .90 ulp; .87 ulp on 1,000,000 runs.)
+ * It also has correct monotonicity.
+ */
+static double
+small_gam(x)
+	double x;
+{
+	double y, ym1, t;
+	struct Double yy, r;
+	y = x - one;
+	ym1 = y - one;
+	if (y <= 1.0 + (LEFT + x0)) {
+		yy = ratfun_gam(y - x0, 0);
+		return (yy.a + yy.b);
+	}
+	r.a = y;
+	TRUNC(r.a);
+	yy.a = r.a - one;
+	y = ym1;
+	yy.b = r.b = y - yy.a;
+	/* Argument reduction: G(x+1) = x*G(x) */
+	for (ym1 = y-one; ym1 > LEFT + x0; y = ym1--, yy.a--) {
+		t = r.a*yy.a;
+		r.b = r.a*yy.b + y*r.b;
+		r.a = t;
+		TRUNC(r.a);
+		r.b += (t - r.a);
+	}
+	/* Return r*tgamma(y). */
+	yy = ratfun_gam(y - x0, 0);
+	y = r.b*(yy.a + yy.b) + r.a*yy.b;
+	y += yy.a*r.a;
+	return (y);
+}
+/*
+ * Good on (0, 1+x0+LEFT].  Accurate to 1ulp.
+ */
+static double
+smaller_gam(x)
+	double x;
+{
+	double t, d;
+	struct Double r, xx;
+	if (x < x0 + LEFT) {
+		t = x, TRUNC(t);
+		d = (t+x)*(x-t);
+		t *= t;
+		xx.a = (t + x), TRUNC(xx.a);
+		xx.b = x - xx.a; xx.b += t; xx.b += d;
+		t = (one-x0); t += x;
+		d = (one-x0); d -= t; d += x;
+		x = xx.a + xx.b;
+	} else {
+		xx.a =  x, TRUNC(xx.a);
+		xx.b = x - xx.a;
+		t = x - x0;
+		d = (-x0 -t); d += x;
+	}
+	r = ratfun_gam(t, d);
+	d = r.a/x, TRUNC(d);
+	r.a -= d*xx.a; r.a -= d*xx.b; r.a += r.b;
+	return (d + r.a/x);
+}
+/*
+ * returns (z+c)^2 * P(z)/Q(z) + a0
+ */
+static struct Double
+ratfun_gam(z, c)
+	double z, c;
+{
+	double p, q;
+	struct Double r, t;
+
+	q = Q0 +z*(Q1+z*(Q2+z*(Q3+z*(Q4+z*(Q5+z*(Q6+z*(Q7+z*Q8)))))));
+	p = P0 + z*(P1 + z*(P2 + z*(P3 + z*P4)));
+
+	/* return r.a + r.b = a0 + (z+c)^2*p/q, with r.a truncated to 26 bits. */
+	p = p/q;
+	t.a = z, TRUNC(t.a);		/* t ~= z + c */
+	t.b = (z - t.a) + c;
+	t.b *= (t.a + z);
+	q = (t.a *= t.a);		/* t = (z+c)^2 */
+	TRUNC(t.a);
+	t.b += (q - t.a);
+	r.a = p, TRUNC(r.a);		/* r = P/Q */
+	r.b = p - r.a;
+	t.b = t.b*p + t.a*r.b + a0_lo;
+	t.a *= r.a;			/* t = (z+c)^2*(P/Q) */
+	r.a = t.a + a0_hi, TRUNC(r.a);
+	r.b = ((a0_hi-r.a) + t.a) + t.b;
+	return (r);			/* r = a0 + t */
+}
+
+static double
+neg_gam(x)
+	double x;
+{
+	int sgn = 1;
+	struct Double lg, lsine;
+	double y, z;
+
+	y = ceil(x);
+	if (y == x)		/* Negative integer. */
+		return ((x - x) / zero);
+	z = y - x;
+	if (z > 0.5)
+		z = one - z;
+	y = 0.5 * y;
+	if (y == ceil(y))
+		sgn = -1;
+	if (z < .25)
+		z = sin(M_PI*z);
+	else
+		z = cos(M_PI*(0.5-z));
+	/* Special case: G(1-x) = Inf; G(x) may be nonzero. */
+	if (x < -170) {
+		if (x < -190)
+			return ((double)sgn*tiny*tiny);
+		y = one - x;		/* exact: 128 < |x| < 255 */
+		lg = large_gam(y);
+		lsine = __log__D(M_PI/z);	/* = TRUNC(log(u)) + small */
+		lg.a -= lsine.a;		/* exact (opposite signs) */
+		lg.b -= lsine.b;
+		y = -(lg.a + lg.b);
+		z = (y + lg.a) + lg.b;
+		y = __exp__D(y, z);
+		if (sgn < 0) y = -y;
+		return (y);
+	}
+	y = one-x;
+	if (one-y == x)
+		y = tgamma(y);
+	else		/* 1-x is inexact */
+		y = -x*tgamma(-x);
+	if (sgn < 0) y = -y;
+	return (M_PI / (y*z));
+}

bsdsrc/mathimpl.h

@@ -0,0 +1,74 @@
+/*
+ * Copyright (c) 1988, 1993
+ *	The Regents of the University of California.  All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *	This product includes software developed by the University of
+ *	California, Berkeley and its contributors.
+ * 4. Neither the name of the University nor the names of its contributors
+ *    may be used to endorse or promote products derived from this software
+ *    without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ *	@(#)mathimpl.h	8.1 (Berkeley) 6/4/93
+ * $FreeBSD: src/lib/msun/bsdsrc/mathimpl.h,v 1.7 2005/11/18 05:03:12 bde Exp $
+ */
+
+#ifndef _MATHIMPL_H_
+#define	_MATHIMPL_H_
+
+#include <sys/cdefs.h>
+#include <math.h>
+
+#include "../src/math_private.h"
+
+/*
+ * TRUNC() is a macro that sets the trailing 27 bits in the mantissa of an
+ * IEEE double variable to zero.  It must be expression-like for syntactic
+ * reasons, and we implement this expression using an inline function
+ * instead of a pure macro to avoid depending on the gcc feature of
+ * statement-expressions.
+ */
+#define	TRUNC(d)	(_b_trunc(&(d)))
+
+static __inline void
+_b_trunc(volatile double *_dp)
+{
+	uint32_t _lw;
+
+	GET_LOW_WORD(_lw, *_dp);
+	SET_LOW_WORD(*_dp, _lw & 0xf8000000);
+}
+
+struct Double {
+	double	a;
+	double	b;
+};
+
+/*
+ * Functions internal to the math package, yet not static.
+ */
+double	__exp__D(double, double);
+struct Double __log__D(double);
+
+#endif /* !_MATHIMPL_H_ */

i387/FILES

@@ -0,0 +1,53 @@
+ Makefile.inc
+ Symbol.map
+ e_exp.S
+ e_fmod.S
+ e_log.S
+ e_log10.S
+ e_log10f.S
+ e_logf.S
+ e_remainder.S
+ e_remainderf.S
+ e_remainderl.S
+ e_sqrt.S
+ e_sqrtf.S
+ e_sqrtl.S
+ fenv.c
+ fenv.h
+ invtrig.c
+ s_ceil.S
+ s_ceilf.S
+ s_ceill.S
+ s_copysign.S
+ s_copysignf.S
+ s_copysignl.S
+ s_cos.S
+ s_finite.S
+ s_floor.S
+ s_floorf.S
+ s_floorl.S
+ s_llrint.S
+ s_llrintf.S
+ s_llrintl.S
+ s_logb.S
+ s_logbf.S
+ s_logbl.S
+ s_lrint.S
+ s_lrintf.S
+ s_lrintl.S
+ s_remquo.S
+ s_remquof.S
+ s_remquol.S
+ s_rint.S
+ s_rintf.S
+ s_rintl.S
+ s_scalbn.S
+ s_scalbnf.S
+ s_scalbnl.S
+ s_significand.S
+ s_significandf.S
+ s_sin.S
+ s_tan.S
+ s_trunc.S
+ s_truncf.S
+ s_truncl.S

i387/Makefile.inc

@@ -0,0 +1,21 @@
+# $FreeBSD: src/lib/msun/i387/Makefile.inc,v 1.13 2008/03/30 21:21:53 das Exp $
+
+ARCH_SRCS = e_exp.S e_fmod.S e_log.S e_log10.S \
+	    e_remainder.S e_sqrt.S s_ceil.S s_copysign.S \
+	    s_cos.S s_finite.S s_floor.S s_llrint.S s_logb.S s_lrint.S \
+	    s_remquo.S s_rint.S s_scalbn.S s_significand.S s_sin.S s_tan.S \
+	    s_trunc.S
+
+# float counterparts
+ARCH_SRCS+= e_log10f.S e_logf.S e_remainderf.S \
+	    e_sqrtf.S s_ceilf.S s_copysignf.S s_floorf.S \
+	    s_llrintf.S s_logbf.S s_lrintf.S \
+	    s_remquof.S s_rintf.S s_scalbnf.S s_significandf.S s_truncf.S
+
+# long double counterparts
+ARCH_SRCS+= e_remainderl.S e_sqrtl.S s_ceill.S s_copysignl.S \
+	    s_floorl.S s_llrintl.S \
+	    s_logbl.S s_lrintl.S s_remquol.S s_rintl.S s_scalbnl.S s_truncl.S
+
+LDBL_PREC = 64	# XXX 64-bit format, but truncated to 53 bits
+SYM_MAPS += ${.CURDIR}/i387/Symbol.map

i387/Symbol.map

@@ -0,0 +1,16 @@
+/*
+ * $FreeBSD: src/lib/msun/i387/Symbol.map,v 1.2 2007/04/29 14:05:21 deischen Exp $
+ */
+FBSD_1.0 {
+	__has_sse;
+	__test_sse;
+	fesetexceptflag;
+	feraiseexcept;
+	fegetenv;
+	feholdexcept;
+	feupdateenv;
+	__feenableexcept;
+	__fedisableexcept;
+	feenableexcept;
+	fedisableexcept;
+};

i387/e_exp.S

@@ -0,0 +1,100 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/e_exp.S,v 1.14 2011/01/07 16:13:12 kib Exp $")
+
+/* e^x = 2^(x * log2(e)) */
+ENTRY(exp)
+	/*
+	 * If x is +-Inf, then the subtraction would give Inf-Inf = NaN.
+	 * Avoid this.  Also avoid it if x is NaN for convenience.
+	 */
+	movl	8(%esp),%eax
+	andl	$0x7fffffff,%eax
+	cmpl	$0x7ff00000,%eax
+	jae	x_Inf_or_NaN
+
+	fldl	4(%esp)
+
+	/*
+	 * Extended precision is needed to reduce the maximum error from
+	 * hundreds of ulps to less than 1 ulp.  Switch to it if necessary.
+	 * We may as well set the rounding mode to to-nearest and mask traps
+	 * if we switch.
+	 */
+	fstcw	4(%esp)
+	movl	4(%esp),%eax
+	andl	$0x0300,%eax
+	cmpl	$0x0300,%eax		/* RC == 0 && PC == 3? */
+	je	1f			/* jump if mode is good */
+	movl	$0x137f,8(%esp)
+	fldcw	8(%esp)
+1:
+	fldl2e
+	fmulp				/* x * log2(e) */
+	fst	%st(1)
+	frndint				/* int(x * log2(e)) */
+	fst	%st(2)
+	fsubrp				/* fract(x * log2(e)) */
+	f2xm1				/* 2^(fract(x * log2(e))) - 1 */ 
+	fld1
+	faddp				/* 2^(fract(x * log2(e))) */
+	fscale				/* e^x */
+	fstp	%st(1)
+	je	1f
+	fldcw	4(%esp)
+1:
+	ret
+
+x_Inf_or_NaN:
+	/*
+	 * Return 0 if x is -Inf.  Otherwise just return x; when x is Inf
+	 * this gives Inf, and when x is a NaN this gives the same result
+	 * as (x + x) (x quieted).
+	 */
+	cmpl	$0xfff00000,8(%esp)
+	jne	x_not_minus_Inf
+	cmpl	$0,4(%esp)
+	jne	x_not_minus_Inf
+	fldz
+	ret
+
+x_not_minus_Inf:
+	fldl	4(%esp)
+	ret
+END(exp)
+
+	.section .note.GNU-stack,"",%progbits

i387/e_fmod.S

@@ -0,0 +1,50 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/e_fmod.S,v 1.11 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(fmod)
+	fldl	12(%esp)
+	fldl	4(%esp)
+1:	fprem
+	fstsw	%ax
+	sahf
+	jp	1b
+	fstp	%st(1)
+	ret
+END(fmod)
+
+	.section .note.GNU-stack,"",%progbits

i387/e_log.S

@@ -0,0 +1,46 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/e_log.S,v 1.10 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(log)
+	fldln2
+	fldl	4(%esp)
+	fyl2x
+	ret
+END(log)
+
+	.section .note.GNU-stack,"",%progbits

i387/e_log10.S

@@ -0,0 +1,46 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/e_log10.S,v 1.10 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(log10)
+	fldlg2
+	fldl	4(%esp)
+	fyl2x
+	ret
+END(log10)
+
+	.section .note.GNU-stack,"",%progbits

i387/e_log10f.S

@@ -0,0 +1,18 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+__FBSDID("$FreeBSD: src/lib/msun/i387/e_log10f.S,v 1.4 2011/01/07 16:13:12 kib Exp $");
+/* RCSID("$NetBSD: e_log10f.S,v 1.1 1996/07/03 16:50:22 jtc Exp $") */
+
+ENTRY(log10f)
+	fldlg2
+	flds	4(%esp)
+	fyl2x
+	ret
+END(log10f)
+
+	.section .note.GNU-stack,"",%progbits

i387/e_logf.S

@@ -0,0 +1,17 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+__FBSDID("$FreeBSD: src/lib/msun/i387/e_logf.S,v 1.3 2011/01/07 16:13:12 kib Exp $");
+/* RCSID("$NetBSD: e_logf.S,v 1.2 1996/07/06 00:15:45 jtc Exp $") */
+
+ENTRY(logf)
+	fldln2
+	flds	4(%esp)
+	fyl2x
+	ret
+
+	.section .note.GNU-stack,"",%progbits

i387/e_remainder.S

@@ -0,0 +1,50 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/e_remainder.S,v 1.11 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(remainder)
+	fldl	12(%esp)
+	fldl	4(%esp)
+1:	fprem1
+	fstsw	%ax
+	sahf
+	jp	1b
+	fstp	%st(1)
+	ret
+END(remainder)
+
+	.section .note.GNU-stack,"",%progbits

i387/e_remainderf.S

@@ -0,0 +1,22 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+__FBSDID("$FreeBSD: src/lib/msun/i387/e_remainderf.S,v 1.4 2011/01/07 16:13:12 kib Exp $");
+/* RCSID("$NetBSD: e_remainderf.S,v 1.2 1995/05/08 23:49:47 jtc Exp $") */
+
+ENTRY(remainderf)
+	flds	8(%esp)
+	flds	4(%esp)
+1:	fprem1
+	fstsw	%ax
+	sahf
+	jp	1b
+	fstp	%st(1)
+	ret
+END(remainderf)
+
+	.section .note.GNU-stack,"",%progbits

i387/e_remainderl.S

@@ -0,0 +1,50 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+
+__FBSDID("$FreeBSD: src/lib/msun/i387/e_remainderl.S,v 1.2 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(remainderl)
+	fldt	16(%esp)
+	fldt	4(%esp)
+1:	fprem1
+	fstsw	%ax
+	sahf
+	jp	1b
+	fstp	%st(1)
+	ret
+
+	.section .note.GNU-stack,"",%progbits

i387/e_sqrt.S

@@ -0,0 +1,45 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/e_sqrt.S,v 1.10 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(sqrt)
+	fldl	4(%esp)
+	fsqrt
+	ret
+END(sqrt)
+
+	.section .note.GNU-stack,"",%progbits

i387/e_sqrtf.S

@@ -0,0 +1,17 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+__FBSDID("$FreeBSD: src/lib/msun/i387/e_sqrtf.S,v 1.4 2011/01/07 16:13:12 kib Exp $");
+/* RCSID("$NetBSD: e_sqrtf.S,v 1.2 1995/05/08 23:50:14 jtc Exp $") */
+
+ENTRY(sqrtf)
+	flds	4(%esp)
+	fsqrt
+	ret
+END(sqrtf)
+
+	.section .note.GNU-stack,"",%progbits

i387/e_sqrtl.S

@@ -0,0 +1,44 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/e_sqrtl.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(sqrtl)
+	fldt	4(%esp)
+	fsqrt
+	ret
+
+	.section .note.GNU-stack,"",%progbits

i387/fenv.c

@@ -0,0 +1,213 @@
+/*-
+ * Copyright (c) 2004-2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/i387/fenv.c,v 1.4 2010/02/03 20:23:47 kib Exp $
+ */
+
+#include <sys/cdefs.h>
+#include <sys/types.h>
+#include <machine/npx.h>
+#include "fenv.h"
+
+const fenv_t __fe_dfl_env = {
+	__INITIAL_NPXCW__,
+	0x0000,
+	0x0000,
+	0x1f80,
+	0xffffffff,
+	{ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+	  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff }
+};
+
+enum __sse_support __has_sse =
+#ifdef __SSE__
+	__SSE_YES;
+#else
+	__SSE_UNK;
+#endif
+
+#define	getfl(x)	__asm __volatile("pushfl\n\tpopl %0" : "=mr" (*(x)))
+#define	setfl(x)	__asm __volatile("pushl %0\n\tpopfl" : : "g" (x))
+#define	cpuid_dx(x)	__asm __volatile("pushl %%ebx\n\tmovl $1, %%eax\n\t"  \
+					 "cpuid\n\tpopl %%ebx"		      \
+					: "=d" (*(x)) : : "eax", "ecx")
+
+/*
+ * Test for SSE support on this processor.  We need to do this because
+ * we need to use ldmxcsr/stmxcsr to get correct results if any part
+ * of the program was compiled to use SSE floating-point, but we can't
+ * use SSE on older processors.
+ */
+int
+__test_sse(void)
+{
+	int flag, nflag;
+	int dx_features;
+
+	/* Am I a 486? */
+	getfl(&flag);
+	nflag = flag ^ 0x200000;
+	setfl(nflag);
+	getfl(&nflag);
+	if (flag != nflag) {
+		/* Not a 486, so CPUID should work. */
+		cpuid_dx(&dx_features);
+		if (dx_features & 0x2000000) {
+			__has_sse = __SSE_YES;
+			return (1);
+		}
+	}
+	__has_sse = __SSE_NO;
+	return (0);
+}
+
+int
+fesetexceptflag(const fexcept_t *flagp, int excepts)
+{
+	fenv_t env;
+	__uint32_t mxcsr;
+
+	__fnstenv(&env);
+	env.__status &= ~excepts;
+	env.__status |= *flagp & excepts;
+	__fldenv(env);
+
+	if (__HAS_SSE()) {
+		__stmxcsr(&mxcsr);
+		mxcsr &= ~excepts;
+		mxcsr |= *flagp & excepts;
+		__ldmxcsr(mxcsr);
+	}
+
+	return (0);
+}
+
+int
+feraiseexcept(int excepts)
+{
+	fexcept_t ex = excepts;
+
+	fesetexceptflag(&ex, excepts);
+	__fwait();
+	return (0);
+}
+
+int
+fegetenv(fenv_t *envp)
+{
+	__uint32_t mxcsr;
+
+	__fnstenv(envp);
+	/*
+	 * fnstenv masks all exceptions, so we need to restore
+	 * the old control word to avoid this side effect.
+	 */
+	__fldcw(envp->__control);
+	if (__HAS_SSE()) {
+		__stmxcsr(&mxcsr);
+		__set_mxcsr(*envp, mxcsr);
+	}
+	return (0);
+}
+
+int
+feholdexcept(fenv_t *envp)
+{
+	__uint32_t mxcsr;
+
+	__fnstenv(envp);
+	__fnclex();
+	if (__HAS_SSE()) {
+		__stmxcsr(&mxcsr);
+		__set_mxcsr(*envp, mxcsr);
+		mxcsr &= ~FE_ALL_EXCEPT;
+		mxcsr |= FE_ALL_EXCEPT << _SSE_EMASK_SHIFT;
+		__ldmxcsr(mxcsr);
+	}
+	return (0);
+}
+
+int
+feupdateenv(const fenv_t *envp)
+{
+	__uint32_t mxcsr;
+	__uint16_t status;
+
+	__fnstsw(&status);
+	if (__HAS_SSE())
+		__stmxcsr(&mxcsr);
+	else
+		mxcsr = 0;
+	fesetenv(envp);
+	feraiseexcept((mxcsr | status) & FE_ALL_EXCEPT);
+	return (0);
+}
+
+int
+__feenableexcept(int mask)
+{
+	__uint32_t mxcsr, omask;
+	__uint16_t control;
+
+	mask &= FE_ALL_EXCEPT;
+	__fnstcw(&control);
+	if (__HAS_SSE())
+		__stmxcsr(&mxcsr);
+	else
+		mxcsr = 0;
+	omask = (control | mxcsr >> _SSE_EMASK_SHIFT) & FE_ALL_EXCEPT;
+	control &= ~mask;
+	__fldcw(control);
+	if (__HAS_SSE()) {
+		mxcsr &= ~(mask << _SSE_EMASK_SHIFT);
+		__ldmxcsr(mxcsr);
+	}
+	return (~omask);
+}
+
+int
+__fedisableexcept(int mask)
+{
+	__uint32_t mxcsr, omask;
+	__uint16_t control;
+
+	mask &= FE_ALL_EXCEPT;
+	__fnstcw(&control);
+	if (__HAS_SSE())
+		__stmxcsr(&mxcsr);
+	else
+		mxcsr = 0;
+	omask = (control | mxcsr >> _SSE_EMASK_SHIFT) & FE_ALL_EXCEPT;
+	control |= mask;
+	__fldcw(control);
+	if (__HAS_SSE()) {
+		mxcsr |= mask << _SSE_EMASK_SHIFT;
+		__ldmxcsr(mxcsr);
+	}
+	return (~omask);
+}
+
+__weak_reference(__feenableexcept, feenableexcept);
+__weak_reference(__fedisableexcept, fedisableexcept);

i387/fenv.h

@@ -0,0 +1,254 @@
+/*-
+ * Copyright (c) 2004-2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/i387/fenv.h,v 1.7 2010/02/03 20:23:47 kib Exp $
+ */
+
+#ifndef	_FENV_H_
+#define	_FENV_H_
+
+#include <sys/cdefs.h>
+#include <sys/_types.h>
+
+/*                   
+ * To preserve binary compatibility with FreeBSD 5.3, we pack the
+ * mxcsr into some reserved fields, rather than changing sizeof(fenv_t).
+ */
+typedef struct {
+	__uint16_t	__control;
+	__uint16_t      __mxcsr_hi;
+	__uint16_t	__status;
+	__uint16_t      __mxcsr_lo;
+	__uint32_t	__tag;
+	char		__other[16];
+} fenv_t;
+
+#define	__get_mxcsr(env)	(((env).__mxcsr_hi << 16) |	\
+				 ((env).__mxcsr_lo))
+#define	__set_mxcsr(env, x)	do {				\
+	(env).__mxcsr_hi = (__uint32_t)(x) >> 16;		\
+	(env).__mxcsr_lo = (__uint16_t)(x);			\
+} while (0)
+
+typedef	__uint16_t	fexcept_t;
+
+/* Exception flags */
+#define	FE_INVALID	0x01
+#define	FE_DENORMAL	0x02
+#define	FE_DIVBYZERO	0x04
+#define	FE_OVERFLOW	0x08
+#define	FE_UNDERFLOW	0x10
+#define	FE_INEXACT	0x20
+#define	FE_ALL_EXCEPT	(FE_DIVBYZERO | FE_DENORMAL | FE_INEXACT | \
+			 FE_INVALID | FE_OVERFLOW | FE_UNDERFLOW)
+
+/* Rounding modes */
+#define	FE_TONEAREST	0x0000
+#define	FE_DOWNWARD	0x0400
+#define	FE_UPWARD	0x0800
+#define	FE_TOWARDZERO	0x0c00
+#define	_ROUND_MASK	(FE_TONEAREST | FE_DOWNWARD | \
+			 FE_UPWARD | FE_TOWARDZERO)
+
+/*
+ * As compared to the x87 control word, the SSE unit's control word
+ * has the rounding control bits offset by 3 and the exception mask
+ * bits offset by 7.
+ */
+#define	_SSE_ROUND_SHIFT	3
+#define	_SSE_EMASK_SHIFT	7
+
+__BEGIN_DECLS
+
+/* After testing for SSE support once, we cache the result in __has_sse. */
+enum __sse_support { __SSE_YES, __SSE_NO, __SSE_UNK };
+extern enum __sse_support __has_sse;
+int __test_sse(void);
+#ifdef __SSE__
+#define	__HAS_SSE()	1
+#else
+#define	__HAS_SSE()	(__has_sse == __SSE_YES ||			\
+			 (__has_sse == __SSE_UNK && __test_sse()))
+#endif
+
+/* Default floating-point environment */
+extern const fenv_t	__fe_dfl_env;
+#define	FE_DFL_ENV	(&__fe_dfl_env)
+
+#define	__fldcw(__cw)		__asm __volatile("fldcw %0" : : "m" (__cw))
+#define	__fldenv(__env)		__asm __volatile("fldenv %0" : : "m" (__env))
+#define	__fldenvx(__env)	__asm __volatile("fldenv %0" : : "m" (__env)  \
+				: "st", "st(1)", "st(2)", "st(3)", "st(4)",   \
+				"st(5)", "st(6)", "st(7)")
+#define	__fnclex()		__asm __volatile("fnclex")
+#define	__fnstenv(__env)	__asm __volatile("fnstenv %0" : "=m" (*(__env)))
+#define	__fnstcw(__cw)		__asm __volatile("fnstcw %0" : "=m" (*(__cw)))
+#define	__fnstsw(__sw)		__asm __volatile("fnstsw %0" : "=am" (*(__sw)))
+#define	__fwait()		__asm __volatile("fwait")
+#define	__ldmxcsr(__csr)	__asm __volatile("ldmxcsr %0" : : "m" (__csr))
+#define	__stmxcsr(__csr)	__asm __volatile("stmxcsr %0" : "=m" (*(__csr)))
+
+static __inline int
+feclearexcept(int __excepts)
+{
+	fenv_t __env;
+	__uint32_t __mxcsr;
+
+	if (__excepts == FE_ALL_EXCEPT) {
+		__fnclex();
+	} else {
+		__fnstenv(&__env);
+		__env.__status &= ~__excepts;
+		__fldenv(__env);
+	}
+	if (__HAS_SSE()) {
+		__stmxcsr(&__mxcsr);
+		__mxcsr &= ~__excepts;
+		__ldmxcsr(__mxcsr);
+	}
+	return (0);
+}
+
+static __inline int
+fegetexceptflag(fexcept_t *__flagp, int __excepts)
+{
+	__uint32_t __mxcsr;
+	__uint16_t __status;
+
+	__fnstsw(&__status);
+	if (__HAS_SSE())
+		__stmxcsr(&__mxcsr);
+	else
+		__mxcsr = 0;
+	*__flagp = (__mxcsr | __status) & __excepts;
+	return (0);
+}
+
+int fesetexceptflag(const fexcept_t *__flagp, int __excepts);
+int feraiseexcept(int __excepts);
+
+static __inline int
+fetestexcept(int __excepts)
+{
+	__uint32_t __mxcsr;
+	__uint16_t __status;
+
+	__fnstsw(&__status);
+	if (__HAS_SSE())
+		__stmxcsr(&__mxcsr);
+	else
+		__mxcsr = 0;
+	return ((__status | __mxcsr) & __excepts);
+}
+
+static __inline int
+fegetround(void)
+{
+	__uint16_t __control;
+
+	/*
+	 * We assume that the x87 and the SSE unit agree on the
+	 * rounding mode.  Reading the control word on the x87 turns
+	 * out to be about 5 times faster than reading it on the SSE
+	 * unit on an Opteron 244.
+	 */
+	__fnstcw(&__control);
+	return (__control & _ROUND_MASK);
+}
+
+static __inline int
+fesetround(int __round)
+{
+	__uint32_t __mxcsr;
+	__uint16_t __control;
+
+	if (__round & ~_ROUND_MASK)
+		return (-1);
+
+	__fnstcw(&__control);
+	__control &= ~_ROUND_MASK;
+	__control |= __round;
+	__fldcw(__control);
+
+	if (__HAS_SSE()) {
+		__stmxcsr(&__mxcsr);
+		__mxcsr &= ~(_ROUND_MASK << _SSE_ROUND_SHIFT);
+		__mxcsr |= __round << _SSE_ROUND_SHIFT;
+		__ldmxcsr(__mxcsr);
+	}
+
+	return (0);
+}
+
+int fegetenv(fenv_t *__envp);
+int feholdexcept(fenv_t *__envp);
+
+static __inline int
+fesetenv(const fenv_t *__envp)
+{
+	fenv_t __env = *__envp;
+	__uint32_t __mxcsr;
+
+	__mxcsr = __get_mxcsr(__env);
+	__set_mxcsr(__env, 0xffffffff);
+	/*
+	 * XXX Using fldenvx() instead of fldenv() tells the compiler that this
+	 * instruction clobbers the i387 register stack.  This happens because
+	 * we restore the tag word from the saved environment.  Normally, this
+	 * would happen anyway and we wouldn't care, because the ABI allows
+	 * function calls to clobber the i387 regs.  However, fesetenv() is
+	 * inlined, so we need to be more careful.
+	 */
+	__fldenvx(__env);
+	if (__HAS_SSE())
+		__ldmxcsr(__mxcsr);
+	return (0);
+}
+
+int feupdateenv(const fenv_t *__envp);
+
+#if __BSD_VISIBLE
+
+int feenableexcept(int __mask);
+int fedisableexcept(int __mask);
+
+static __inline int
+fegetexcept(void)
+{
+	__uint16_t __control;
+
+	/*
+	 * We assume that the masks for the x87 and the SSE unit are
+	 * the same.
+	 */
+	__fnstcw(&__control);
+	return (~__control & FE_ALL_EXCEPT);
+}
+
+#endif /* __BSD_VISIBLE */
+
+__END_DECLS
+
+#endif	/* !_FENV_H_ */

i387/invtrig.c

@@ -0,0 +1,86 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/invtrig.c,v 1.1 2008/08/02 03:56:22 das Exp $");
+
+#include <stdint.h>
+
+#define STRUCT_DECLS
+#include "invtrig.h"
+
+/*
+ * asinl() and acosl()
+ */
+const LONGDOUBLE
+pS0 = { 0xaaaaaaaaaaaaaaa8ULL, 0x3ffcU }, /*  1.66666666666666666631e-01L */
+pS1 = { 0xd5271b6699b48bfaULL, 0xbffdU }, /* -4.16313987993683104320e-01L */
+pS2 = { 0xbcf67ca9e9f669cfULL, 0x3ffdU }, /*  3.69068046323246813704e-01L */
+pS3 = { 0x8b7baa3d15f9830dULL, 0xbffcU }, /* -1.36213932016738603108e-01L */
+pS4 = { 0x92154b093a3bff1cULL, 0x3ff9U }, /*  1.78324189708471965733e-02L */
+pS5 = { 0xe5dd76401964508cULL, 0xbff2U }, /* -2.19216428382605211588e-04L */
+pS6 = { 0xee69c5b0fdb76951ULL, 0xbfedU }, /* -7.10526623669075243183e-06L */
+qS1 = { 0xbcaa2159c01436a0ULL, 0xc000U }, /* -2.94788392796209867269e+00L */
+qS2 = { 0xd17a73d1e1564c29ULL, 0x4000U }, /*  3.27309890266528636716e+00L */
+qS3 = { 0xd767e411c9cf4c2cULL, 0xbfffU }, /* -1.68285799854822427013e+00L */
+qS4 = { 0xc809c0dfb9b0d0b7ULL, 0x3ffdU }, /*  3.90699412641738801874e-01L */
+qS5 = { 0x80c3a2197c8ced57ULL, 0xbffaU }; /* -3.14365703596053263322e-02L */
+
+/*
+ * atanl()
+ */
+const LONGDOUBLE atanhi[] = {
+	{ 0xed63382b0dda7b45ULL, 0x3ffdU }, /*  4.63647609000806116202e-01L */
+	{ 0xc90fdaa22168c235ULL, 0x3ffeU }, /*  7.85398163397448309628e-01L */
+	{ 0xfb985e940fb4d900ULL, 0x3ffeU }, /*  9.82793723247329067960e-01L */
+	{ 0xc90fdaa22168c235ULL, 0x3fffU }, /*  1.57079632679489661926e+00L */
+};
+
+const LONGDOUBLE atanlo[] = {
+	{ 0xdfc88bd978751a07ULL, 0x3fbcU }, /*  1.18469937025062860669e-20L */
+	{ 0xece675d1fc8f8cbbULL, 0xbfbcU }, /* -1.25413940316708300586e-20L */
+	{ 0xf10f5e197793c283ULL, 0x3fbdU }, /*  2.55232234165405176172e-20L */
+	{ 0xece675d1fc8f8cbbULL, 0xbfbdU }, /* -2.50827880633416601173e-20L */
+};
+
+const LONGDOUBLE aT[] = {
+	{ 0xaaaaaaaaaaaaaa9fULL, 0x3ffdU }, /*  3.33333333333333333017e-01L */
+	{ 0xcccccccccccc62bcULL, 0xbffcU }, /* -1.99999999999999632011e-01L */
+	{ 0x9249249248b81e3fULL, 0x3ffcU }, /*  1.42857142857046531280e-01L */
+	{ 0xe38e38e3316f3de5ULL, 0xbffbU }, /* -1.11111111100562372733e-01L */
+	{ 0xba2e8b8dc280726aULL, 0x3ffbU }, /*  9.09090902935647302252e-02L */
+	{ 0x9d89d5b4c6847ec4ULL, 0xbffbU }, /* -7.69230552476207730353e-02L */
+	{ 0x8888461d3099c677ULL, 0x3ffbU }, /*  6.66661718042406260546e-02L */
+	{ 0xf0e8ee0f5328dc29ULL, 0xbffaU }, /* -5.88158892835030888692e-02L */
+	{ 0xd73ea84d24bae54aULL, 0x3ffaU }, /*  5.25499891539726639379e-02L */
+	{ 0xc08fa381dcd9213aULL, 0xbffaU }, /* -4.70119845393155721494e-02L */
+	{ 0xa54a26f4095f2a3aULL, 0x3ffaU }, /*  4.03539201366454414072e-02L */
+	{ 0xeea2d8d059ef3ad6ULL, 0xbff9U }, /* -2.91303858419364158725e-02L */
+	{ 0xcc82292ab894b051ULL, 0x3ff8U }, /*  1.24822046299269234080e-02L */
+};
+
+const LONGDOUBLE
+pi_lo = { 0xece675d1fc8f8cbbULL, 0xbfbeU }; /* -5.01655761266833202345e-20L */

i387/s_ceil.S

@@ -0,0 +1,60 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_ceil.S,v 1.10 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(ceil)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$8,%esp
+
+	fstcw	-4(%ebp)		/* store fpu control word */
+	movw	-4(%ebp),%dx
+	orw	$0x0800,%dx		/* round towards +oo */
+	andw	$0xfbff,%dx
+	movw	%dx,-8(%ebp)
+	fldcw	-8(%ebp)		/* load modfied control word */
+
+	fldl	8(%ebp);		/* round */
+	frndint
+
+	fldcw	-4(%ebp)		/* restore original control word */
+
+	leave
+	ret
+END(ceil)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_ceilf.S

@@ -0,0 +1,32 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_ceilf.S,v 1.4 2011/01/07 16:13:12 kib Exp $");
+/* RCSID("$NetBSD: s_ceilf.S,v 1.3 1995/05/08 23:52:44 jtc Exp $") */
+
+ENTRY(ceilf)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$8,%esp
+
+	fstcw	-4(%ebp)		/* store fpu control word */
+	movw	-4(%ebp),%dx
+	orw	$0x0800,%dx		/* round towards +oo */
+	andw	$0xfbff,%dx
+	movw	%dx,-8(%ebp)
+	fldcw	-8(%ebp)		/* load modfied control word */
+
+	flds	8(%ebp);		/* round */
+	frndint
+
+	fldcw	-4(%ebp)		/* restore original control word */
+
+	leave
+	ret
+END(ceilf)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_ceill.S

@@ -0,0 +1,30 @@
+/*
+ * Based on code written by J.T. Conklin <jtc@NetBSD.org>.
+ * Public domain.
+ */
+	
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_ceill.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(ceill)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$8,%esp
+
+	fstcw	-4(%ebp)		/* store fpu control word */
+	movw	-4(%ebp),%dx
+	orw	$0x0800,%dx		/* round towards +oo */
+	andw	$0xfbff,%dx
+	movw	%dx,-8(%ebp)
+	fldcw	-8(%ebp)		/* load modfied control word */
+
+	fldt	8(%ebp)			/* round */
+	frndint
+
+	fldcw	-4(%ebp)		/* restore original control word */
+
+	leave
+	ret
+END(ceill)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_copysign.S

@@ -0,0 +1,50 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_copysign.S,v 1.9 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(copysign)
+	movl	16(%esp),%edx
+	andl	$0x80000000,%edx
+	movl	8(%esp),%eax
+	andl	$0x7fffffff,%eax
+	orl	%edx,%eax
+	movl	%eax,8(%esp)
+	fldl	4(%esp)
+	ret
+END(copysign)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_copysignf.S

@@ -0,0 +1,22 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_copysignf.S,v 1.3 2011/01/07 16:13:12 kib Exp $");
+/* RCSID("$NetBSD: s_copysignf.S,v 1.3 1995/05/08 23:53:25 jtc Exp $") */
+
+ENTRY(copysignf)
+	movl	8(%esp),%edx
+	andl	$0x80000000,%edx
+	movl	4(%esp),%eax
+	andl	$0x7fffffff,%eax
+	orl	%edx,%eax
+	movl	%eax,4(%esp)
+	flds	4(%esp)
+	ret
+END(copysignf)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_copysignl.S

@@ -0,0 +1,20 @@
+/*
+ * Based on code written by J.T. Conklin <jtc@NetBSD.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_copysignl.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(copysignl)
+	movl	24(%esp),%edx
+	andl	$0x8000,%edx
+	movl	12(%esp),%eax
+	andl	$0x7fff,%eax
+	orl	%edx,%eax
+	movl	%eax,12(%esp)
+	fldt	4(%esp)
+	ret
+END(copysignl)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_cos.S

@@ -0,0 +1,58 @@
+/*
+ * Copyright (c) 1994 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_cos.S,v 1.9 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(cos)
+	fldl	4(%esp)
+	fcos
+	fnstsw	%ax
+	andw	$0x400,%ax
+	jnz	1f
+	ret	
+1:	fldpi
+	fadd	%st(0)
+	fxch	%st(1)
+2:	fprem1
+	fnstsw	%ax
+	andw	$0x400,%ax
+	jnz	2b
+	fstp	%st(1)
+	fcos
+	ret
+END(cos)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_finite.S

@@ -0,0 +1,48 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_finite.S,v 1.10 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(finite)
+	movl	8(%esp),%eax
+	andl	$0x7ff00000, %eax
+	cmpl	$0x7ff00000, %eax
+	setneb	%al
+	andl	$0x000000ff, %eax
+	ret
+END(finite)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_floor.S

@@ -0,0 +1,60 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_floor.S,v 1.10 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(floor)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$8,%esp
+
+	fstcw	-4(%ebp)		/* store fpu control word */
+	movw	-4(%ebp),%dx
+	orw	$0x0400,%dx		/* round towards -oo */
+	andw	$0xf7ff,%dx
+	movw	%dx,-8(%ebp)
+	fldcw	-8(%ebp)		/* load modfied control word */
+
+	fldl	8(%ebp);		/* round */
+	frndint
+
+	fldcw	-4(%ebp)		/* restore original control word */
+
+	leave
+	ret
+END(floor)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_floorf.S

@@ -0,0 +1,32 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_floorf.S,v 1.4 2011/01/07 16:13:12 kib Exp $");
+/* RCSID("$NetBSD: s_floorf.S,v 1.3 1995/05/09 00:04:32 jtc Exp $") */
+
+ENTRY(floorf)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$8,%esp
+
+	fstcw	-4(%ebp)		/* store fpu control word */
+	movw	-4(%ebp),%dx
+	orw	$0x0400,%dx		/* round towards -oo */
+	andw	$0xf7ff,%dx
+	movw	%dx,-8(%ebp)
+	fldcw	-8(%ebp)		/* load modfied control word */
+
+	flds	8(%ebp);		/* round */
+	frndint
+
+	fldcw	-4(%ebp)		/* restore original control word */
+
+	leave
+	ret
+END(floorf)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_floorl.S

@@ -0,0 +1,30 @@
+/*
+ * Based on code written by J.T. Conklin <jtc@NetBSD.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_floorl.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(floorl)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$8,%esp
+
+	fstcw	-4(%ebp)		/* store fpu control word */
+	movw	-4(%ebp),%dx
+	orw	$0x0400,%dx		/* round towards -oo */
+	andw	$0xf7ff,%dx
+	movw	%dx,-8(%ebp)
+	fldcw	-8(%ebp)		/* load modfied control word */
+
+	fldt	8(%ebp)			/* round */
+	frndint
+
+	fldcw	-4(%ebp)		/* restore original control word */
+
+	leave
+	ret
+END(floorl)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_llrint.S

@@ -0,0 +1,39 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_llrint.S,v 1.3 2011/01/07 16:13:12 kib Exp $"); 
+	
+ENTRY(llrint)
+	fldl	4(%esp)
+	subl	$8,%esp
+	fistpll	(%esp)
+	popl	%eax
+	popl	%edx
+	ret
+END(llrint)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_llrintf.S

@@ -0,0 +1,39 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_llrintf.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+	
+ENTRY(llrintf)
+	flds	4(%esp)
+	subl	$8,%esp
+	fistpll	(%esp)
+	popl	%eax
+	popl	%edx
+	ret
+END(llrintf)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_llrintl.S

@@ -0,0 +1,38 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_llrintl.S,v 1.2 2011/01/07 16:13:12 kib Exp $"); 
+	
+ENTRY(llrintl)
+	fldt	4(%esp)
+	subl	$8,%esp
+	fistpll	(%esp)
+	popl	%eax
+	popl	%edx
+	ret
+
+	.section .note.GNU-stack,"",%progbits

i387/s_logb.S

@@ -0,0 +1,46 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_logb.S,v 1.10 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(logb)
+	fldl	4(%esp)
+	fxtract
+	fstp	%st
+	ret
+END(logb)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_logbf.S

@@ -0,0 +1,18 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_logbf.S,v 1.3 2011/01/07 16:13:12 kib Exp $");
+/* RCSID("$NetBSD: s_logbf.S,v 1.3 1995/05/09 00:15:12 jtc Exp $") */
+
+ENTRY(logbf)
+	flds	4(%esp)
+	fxtract
+	fstp	%st
+	ret
+END(logbf)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_logbl.S

@@ -0,0 +1,45 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_logbl.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(logbl)
+	fldt	4(%esp)
+	fxtract
+	fstp	%st
+	ret
+
+	.section .note.GNU-stack,"",%progbits

i387/s_lrint.S

@@ -0,0 +1,38 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_lrint.S,v 1.3 2011/01/07 16:13:12 kib Exp $"); 
+	
+ENTRY(lrint)
+	fldl	4(%esp)
+	subl	$4,%esp
+	fistpl	(%esp)
+	popl	%eax
+	ret
+END(lrint)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_lrintf.S

@@ -0,0 +1,38 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_lrintf.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+	
+ENTRY(lrintf)
+	flds	4(%esp)
+	subl	$4,%esp
+	fistpl	(%esp)
+	popl	%eax
+	ret
+END(lrintf)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_lrintl.S

@@ -0,0 +1,37 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_lrintl.S,v 1.2 2011/01/07 16:13:12 kib Exp $"); 
+	
+ENTRY(lrintl)
+	fldt	4(%esp)
+	subl	$4,%esp
+	fistpl	(%esp)
+	popl	%eax
+	ret
+
+	.section .note.GNU-stack,"",%progbits

i387/s_remquo.S

@@ -0,0 +1,65 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+/*
+ * Based on public-domain remainder routine by J.T. Conklin <jtc@NetBSD.org>.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_remquo.S,v 1.3 2011/01/07 16:13:12 kib Exp $"); 
+	
+ENTRY(remquo)
+	fldl	12(%esp)
+	fldl	4(%esp)
+1:	fprem1
+	fstsw	%ax
+	sahf
+	jp	1b
+	fstp	%st(1)
+/* Extract the three low-order bits of the quotient from C0,C3,C1. */
+	shrl	$6,%eax
+	movl	%eax,%ecx
+	andl	$0x108,%eax
+	rorl	$7,%eax
+	orl	%eax,%ecx
+	roll	$4,%eax
+	orl	%ecx,%eax
+	andl	$7,%eax
+/* Negate the quotient bits if x*y<0.  Avoid using an unpredictable branch. */
+	movl	16(%esp),%ecx
+	xorl	8(%esp),%ecx
+	sarl	$16,%ecx
+	sarl	$16,%ecx
+	xorl	%ecx,%eax
+	andl	$1,%ecx
+	addl	%ecx,%eax
+/* Store the quotient and return. */
+	movl	20(%esp),%ecx
+	movl	%eax,(%ecx)
+	ret
+END(remquo)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_remquof.S

@@ -0,0 +1,65 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+/*
+ * Based on public-domain remainder routine by J.T. Conklin <jtc@NetBSD.org>.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_remquof.S,v 1.3 2011/01/07 16:13:12 kib Exp $"); 
+	
+ENTRY(remquof)
+	flds	8(%esp)
+	flds	4(%esp)
+1:	fprem1
+	fstsw	%ax
+	sahf
+	jp	1b
+	fstp	%st(1)
+/* Extract the three low-order bits of the quotient from C0,C3,C1. */
+	shrl	$6,%eax
+	movl	%eax,%ecx
+	andl	$0x108,%eax
+	rorl	$7,%eax
+	orl	%eax,%ecx
+	roll	$4,%eax
+	orl	%ecx,%eax
+	andl	$7,%eax
+/* Negate the quotient bits if x*y<0.  Avoid using an unpredictable branch. */
+	movl	8(%esp),%ecx
+	xorl	4(%esp),%ecx
+	sarl	$16,%ecx
+	sarl	$16,%ecx
+	xorl	%ecx,%eax
+	andl	$1,%ecx
+	addl	%ecx,%eax
+/* Store the quotient and return. */
+	movl	12(%esp),%ecx
+	movl	%eax,(%ecx)
+	ret
+END(remquof)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_remquol.S

@@ -0,0 +1,65 @@
+/*-
+ * Copyright (c) 2005-2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+/*
+ * Based on public-domain remainder routine by J.T. Conklin <jtc@NetBSD.org>.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_remquol.S,v 1.2 2011/01/07 16:13:12 kib Exp $"); 
+	
+ENTRY(remquol)
+	fldt	16(%esp)
+	fldt	4(%esp)
+1:	fprem1
+	fstsw	%ax
+	sahf
+	jp	1b
+	fstp	%st(1)
+/* Extract the three low-order bits of the quotient from C0,C3,C1. */
+	shrl	$6,%eax
+	movl	%eax,%ecx
+	andl	$0x108,%eax
+	rorl	$7,%eax
+	orl	%eax,%ecx
+	roll	$4,%eax
+	orl	%ecx,%eax
+	andl	$7,%eax
+/* Negate the quotient bits if x*y<0.  Avoid using an unpredictable branch. */
+	movl	24(%esp),%ecx
+	xorl	12(%esp),%ecx
+	movsx	%cx,%ecx
+	sarl	$16,%ecx
+	sarl	$16,%ecx
+	xorl	%ecx,%eax
+	andl	$1,%ecx
+	addl	%ecx,%eax
+/* Store the quotient and return. */
+	movl	28(%esp),%ecx
+	movl	%eax,(%ecx)
+	ret
+
+	.section .note.GNU-stack,"",%progbits

i387/s_rint.S

@@ -0,0 +1,45 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_rint.S,v 1.9 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(rint)
+	fldl	4(%esp)
+	frndint
+	ret
+END(rint)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_rintf.S

@@ -0,0 +1,17 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_rintf.S,v 1.3 2011/01/07 16:13:12 kib Exp $");
+/* RCSID("$NetBSD: s_rintf.S,v 1.3 1995/05/09 00:17:22 jtc Exp $") */
+
+ENTRY(rintf)
+	flds	4(%esp)
+	frndint
+	ret
+END(rintf)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_rintl.S

@@ -0,0 +1,44 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_rintl.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(rintl)
+	fldt	4(%esp)
+	frndint
+	ret
+
+	.section .note.GNU-stack,"",%progbits

i387/s_scalbn.S

@@ -0,0 +1,47 @@
+/*
+ * Copyright (c) 1994 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_scalbn.S,v 1.10 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(scalbn)
+	fildl	12(%esp)
+	fldl	4(%esp)
+	fscale
+	fstp	%st(1)
+	ret
+END(scalbn)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_scalbnf.S

@@ -0,0 +1,22 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_scalbnf.S,v 1.4 2011/01/07 16:13:12 kib Exp $");
+/* RCSID("$NetBSD: s_scalbnf.S,v 1.4 1999/01/02 05:15:40 kristerw Exp $") */
+
+ENTRY(scalbnf)
+	fildl	8(%esp)
+	flds	4(%esp)
+	fscale
+	fstp	%st(1)		/* bug fix for fp stack overflow */
+	ret
+END(scalbnf)
+
+.globl CNAME(ldexpf)
+.set	CNAME(ldexpf),CNAME(scalbnf)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_scalbnl.S

@@ -0,0 +1,22 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_scalbnl.S,v 1.3 2011/01/07 16:13:12 kib Exp $");
+/* RCSID("$NetBSD: s_scalbnf.S,v 1.4 1999/01/02 05:15:40 kristerw Exp $") */
+
+ENTRY(scalbnl)
+	fildl	16(%esp)
+	fldt	4(%esp)
+	fscale
+	fstp	%st(1)
+	ret
+END(scalbnl)
+
+.globl CNAME(ldexpl)
+.set	CNAME(ldexpl),CNAME(scalbnl)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_significand.S

@@ -0,0 +1,46 @@
+/*
+ * Copyright (c) 1993,94 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_significand.S,v 1.10 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(significand)
+	fldl	4(%esp)
+	fxtract
+	fstp	%st(1)
+	ret
+END(significand)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_significandf.S

@@ -0,0 +1,18 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_significandf.S,v 1.3 2011/01/07 16:13:12 kib Exp $");
+/* RCSID("$NetBSD: s_significandf.S,v 1.3 1995/05/09 00:24:07 jtc Exp $") */
+
+ENTRY(significandf)
+	flds	4(%esp)
+	fxtract
+	fstp	%st(1)
+	ret
+END(significandf)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_sin.S

@@ -0,0 +1,58 @@
+/*
+ * Copyright (c) 1994 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_sin.S,v 1.9 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(sin)
+	fldl	4(%esp)
+	fsin
+	fnstsw	%ax
+	andw	$0x400,%ax
+	jnz	1f
+	ret
+1:	fldpi
+	fadd	%st(0)
+	fxch	%st(1)
+2:	fprem1
+	fnstsw	%ax
+	andw	$0x400,%ax
+	jnz	2b
+	fstp	%st(1)
+	fsin
+	ret
+END(sin)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_tan.S

@@ -0,0 +1,60 @@
+/*
+ * Copyright (c) 1994 Winning Strategies, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *      This product includes software developed by Winning Strategies, Inc.
+ * 4. The name of the author may not be used to endorse or promote products
+ *    derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Written by:
+ *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_tan.S,v 1.9 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(tan)
+	fldl	4(%esp)
+	fptan
+	fnstsw	%ax
+	andw	$0x400,%ax
+	jnz	1f
+	fstp	%st(0)
+	ret
+1:	fldpi
+	fadd	%st(0)
+	fxch	%st(1)
+2:	fprem1
+	fstsw	%ax
+	andw	$0x400,%ax
+	jnz	2b
+	fstp	%st(1)
+	fptan
+	fstp	%st(0)
+	ret
+END(tan)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_trunc.S

@@ -0,0 +1,29 @@
+/*
+ * Based on code written by J.T. Conklin <jtc@NetBSD.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_trunc.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(trunc)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$8,%esp
+
+	fstcw	-4(%ebp)		/* store fpu control word */
+	movw	-4(%ebp),%dx
+	orw	$0x0c00,%dx		/* round towards -oo */
+	movw	%dx,-8(%ebp)
+	fldcw	-8(%ebp)		/* load modfied control word */
+
+	fldl	8(%ebp)			/* round */
+	frndint
+
+	fldcw	-4(%ebp)		/* restore original control word */
+
+	leave
+	ret
+END(trunc)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_truncf.S

@@ -0,0 +1,29 @@
+/*
+ * Based on code written by J.T. Conklin <jtc@NetBSD.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_truncf.S,v 1.4 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(truncf)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$8,%esp
+
+	fstcw	-4(%ebp)		/* store fpu control word */
+	movw	-4(%ebp),%dx
+	orw	$0x0c00,%dx		/* round towards -oo */
+	movw	%dx,-8(%ebp)
+	fldcw	-8(%ebp)		/* load modfied control word */
+
+	flds	8(%ebp)			/* round */
+	frndint
+
+	fldcw	-4(%ebp)		/* restore original control word */
+
+	leave
+	ret
+END(truncf)
+
+	.section .note.GNU-stack,"",%progbits

i387/s_truncl.S

@@ -0,0 +1,29 @@
+/*
+ * Based on code written by J.T. Conklin <jtc@NetBSD.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/i387/s_truncl.S,v 1.3 2011/01/07 16:13:12 kib Exp $")
+
+ENTRY(truncl)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$8,%esp
+
+	fstcw	-4(%ebp)		/* store fpu control word */
+	movw	-4(%ebp),%dx
+	orw	$0x0c00,%dx		/* round towards -oo */
+	movw	%dx,-8(%ebp)
+	fldcw	-8(%ebp)		/* load modfied control word */
+
+	fldt	8(%ebp)			/* round */
+	frndint
+
+	fldcw	-4(%ebp)		/* restore original control word */
+
+	leave
+	ret
+END(truncl)
+
+	.section .note.GNU-stack,"",%progbits

include/amd64_fpmath.h

@@ -0,0 +1,55 @@
+/*-
+ * Copyright (c) 2002, 2003 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/libc/amd64/_fpmath.h,v 1.7 2008/01/17 16:39:06 bde Exp $
+ */
+
+union IEEEl2bits {
+	long double	e;
+	struct {
+		unsigned int	manl	:32;
+		unsigned int	manh	:32;
+		unsigned int	exp	:15;
+		unsigned int	sign	:1;
+		unsigned int	junkl	:16;
+		unsigned int	junkh	:32;
+	} bits;
+	struct {
+		unsigned long	man	:64;
+		unsigned int	expsign	:16;
+		unsigned long	junk	:48;
+	} xbits;
+};
+
+#define	LDBL_NBIT	0x80000000
+#define	mask_nbit_l(u)	((u).bits.manh &= ~LDBL_NBIT)
+
+#define	LDBL_MANH_SIZE	32
+#define	LDBL_MANL_SIZE	32
+
+#define	LDBL_TO_ARRAY32(u, a) do {			\
+	(a)[0] = (uint32_t)(u).bits.manl;		\
+	(a)[1] = (uint32_t)(u).bits.manh;		\
+} while (0)

include/fpmath.h

@@ -0,0 +1,87 @@
+/*-
+ * Copyright (c) 2003 Mike Barcroft <mike@FreeBSD.org>
+ * Copyright (c) 2002 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/libc/include/fpmath.h,v 1.4 2008/12/23 22:20:59 marcel Exp $
+ */
+
+#ifdef __LP64__
+#include "amd64_fpmath.h"
+#else 
+#include "i386_fpmath.h"
+#endif
+
+#ifdef __linux
+#include <features.h>
+#include <endian.h>
+#endif
+
+#ifdef __APPLE__
+#include <machine/endian.h>
+#endif
+
+#ifndef _IEEE_WORD_ORDER
+#define	_IEEE_WORD_ORDER	_BYTE_ORDER
+#endif
+
+union IEEEf2bits {
+	float	f;
+	struct {
+#if _BYTE_ORDER == _LITTLE_ENDIAN
+		unsigned int	man	:23;
+		unsigned int	exp	:8;
+		unsigned int	sign	:1;
+#else /* _BIG_ENDIAN */
+		unsigned int	sign	:1;
+		unsigned int	exp	:8;
+		unsigned int	man	:23;
+#endif
+	} bits;
+};
+
+#define	DBL_MANH_SIZE	20
+#define	DBL_MANL_SIZE	32
+
+union IEEEd2bits {
+	double	d;
+	struct {
+#if _BYTE_ORDER == _LITTLE_ENDIAN
+#if _IEEE_WORD_ORDER == _LITTLE_ENDIAN
+		unsigned int	manl	:32;
+#endif
+		unsigned int	manh	:20;
+		unsigned int	exp	:11;
+		unsigned int	sign	:1;
+#if _IEEE_WORD_ORDER == _BIG_ENDIAN
+		unsigned int	manl	:32;
+#endif
+#else /* _BIG_ENDIAN */
+		unsigned int	sign	:1;
+		unsigned int	exp	:11;
+		unsigned int	manh	:20;
+		unsigned int	manl	:32;
+#endif
+	} bits;
+};

include/i386_fpmath.h

@@ -0,0 +1,54 @@
+/*-
+ * Copyright (c) 2002, 2003 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/libc/i386/_fpmath.h,v 1.6 2008/01/17 16:39:06 bde Exp $
+ */
+
+union IEEEl2bits {
+	long double	e;
+	struct {
+		unsigned int	manl	:32;
+		unsigned int	manh	:32;
+		unsigned int	exp	:15;
+		unsigned int	sign	:1;
+		unsigned int	junk	:16;
+	} bits;
+	struct {
+		unsigned long long man	:64;
+		unsigned int 	expsign	:16;
+		unsigned int	junk	:16;
+	} xbits;
+};
+
+#define	LDBL_NBIT	0x80000000
+#define	mask_nbit_l(u)	((u).bits.manh &= ~LDBL_NBIT)
+
+#define	LDBL_MANH_SIZE	32
+#define	LDBL_MANL_SIZE	32
+
+#define	LDBL_TO_ARRAY32(u, a) do {			\
+	(a)[0] = (uint32_t)(u).bits.manl;		\
+	(a)[1] = (uint32_t)(u).bits.manh;		\
+} while (0)

ld128/e_rem_pio2l.h

@@ -0,0 +1,140 @@
+/* From: @(#)e_rem_pio2.c 1.4 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+ *
+ * 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.
+ * ====================================================
+ *
+ * Optimized by Bruce D. Evans.
+ */
+
+#include <sys/cdefs.h>
+
+
+/* ld128 version of __ieee754_rem_pio2l(x,y)
+ * 
+ * return the remainder of x rem pi/2 in y[0]+y[1] 
+ * use __kernel_rem_pio2()
+ */
+
+#include <float.h>
+
+#include "openlibm.h"
+#include "math_private.h"
+#include "fpmath.h"
+
+#define	BIAS	(LDBL_MAX_EXP - 1)
+
+/*
+ * XXX need to verify that nonzero integer multiples of pi/2 within the
+ * range get no closer to a long double than 2**-140, or that
+ * ilogb(x) + ilogb(min_delta) < 45 - -140.
+ */
+/*
+ * invpio2:  113 bits of 2/pi
+ * pio2_1:   first  68 bits of pi/2
+ * pio2_1t:  pi/2 - pio2_1
+ * pio2_2:   second 68 bits of pi/2
+ * pio2_2t:  pi/2 - (pio2_1+pio2_2)
+ * pio2_3:   third  68 bits of pi/2
+ * pio2_3t:  pi/2 - (pio2_1+pio2_2+pio2_3)
+ */
+
+static const double
+zero =  0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+two24 =  1.67772160000000000000e+07; /* 0x41700000, 0x00000000 */
+
+static const long double
+invpio2 =  6.3661977236758134307553505349005747e-01L,	/*  0x145f306dc9c882a53f84eafa3ea6a.0p-113 */
+pio2_1  =  1.5707963267948966192292994253909555e+00L,	/*  0x1921fb54442d18469800000000000.0p-112 */
+pio2_1t =  2.0222662487959507323996846200947577e-21L,	/*  0x13198a2e03707344a4093822299f3.0p-181 */
+pio2_2  =  2.0222662487959507323994779168837751e-21L,	/*  0x13198a2e03707344a400000000000.0p-181 */
+pio2_2t =  2.0670321098263988236496903051604844e-43L,	/*  0x127044533e63a0105df531d89cd91.0p-254 */
+pio2_3  =  2.0670321098263988236499468110329591e-43L,	/*  0x127044533e63a0105e00000000000.0p-254 */
+pio2_3t = -2.5650587247459238361625433492959285e-65L;	/* -0x159c4ec64ddaeb5f78671cbfb2210.0p-327 */
+
+static inline __always_inline int
+__ieee754_rem_pio2l(long double x, long double *y)
+{
+	union IEEEl2bits u,u1;
+	long double z,w,t,r,fn;
+	double tx[5],ty[3];
+	int64_t n;
+	int e0,ex,i,j,nx;
+	int16_t expsign;
+
+	u.e = x;
+	expsign = u.xbits.expsign;
+	ex = expsign & 0x7fff;
+	if (ex < BIAS + 45 || ex == BIAS + 45 &&
+	    u.bits.manh < 0x921fb54442d1LL) {
+	    /* |x| ~< 2^45*(pi/2), medium size */
+	    /* Use a specialized rint() to get fn.  Assume round-to-nearest. */
+	    fn = x*invpio2+0x1.8p112;
+	    fn = fn-0x1.8p112;
+#ifdef HAVE_EFFICIENT_I64RINT
+	    n  = i64rint(fn);
+#else
+	    n  = fn;
+#endif
+	    r  = x-fn*pio2_1;
+	    w  = fn*pio2_1t;	/* 1st round good to 180 bit */
+	    {
+		union IEEEl2bits u2;
+	        int ex1;
+	        j  = ex;
+	        y[0] = r-w; 
+		u2.e = y[0];
+		ex1 = u2.xbits.expsign & 0x7fff;
+	        i = j-ex1;
+	        if(i>51) {  /* 2nd iteration needed, good to 248 */
+		    t  = r;
+		    w  = fn*pio2_2;	
+		    r  = t-w;
+		    w  = fn*pio2_2t-((t-r)-w);	
+		    y[0] = r-w;
+		    u2.e = y[0];
+		    ex1 = u2.xbits.expsign & 0x7fff;
+		    i = j-ex1;
+		    if(i>119) {	/* 3rd iteration need, 316 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;
+	    return n;
+	}
+    /* 
+     * all other (large) arguments
+     */
+	if(ex==0x7fff) {		/* x is inf or NaN */
+	    y[0]=y[1]=x-x; return 0;
+	}
+    /* set z = scalbn(|x|,ilogb(x)-23) */
+	u1.e = x;
+	e0 = ex - BIAS - 23;		/* e0 = ilogb(|x|)-23; */
+	u1.xbits.expsign = ex - e0;
+	z = u1.e;
+	for(i=0;i<4;i++) {
+		tx[i] = (double)((int32_t)(z));
+		z     = (z-tx[i])*two24;
+	}
+	tx[4] = z;
+	nx = 5;
+	while(tx[nx-1]==zero) nx--;	/* skip zero term */
+	n  =  __kernel_rem_pio2(tx,ty,e0,nx,3);
+	t = (long double)ty[2] + ty[1];
+	r = t + ty[0];
+	w = ty[0] - (r - t);
+	if(expsign<0) {y[0] = -r; y[1] = -w; return -n;}
+	y[0] = r; y[1] = w; return n;
+}

ld128/invtrig.c

@@ -0,0 +1,100 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+
+
+#include "invtrig.h"
+
+/*
+ * asinl() and acosl()
+ */
+const long double
+pS0 =  1.66666666666666666666666666666700314e-01L,
+pS1 = -7.32816946414566252574527475428622708e-01L,
+pS2 =  1.34215708714992334609030036562143589e+00L,
+pS3 = -1.32483151677116409805070261790752040e+00L,
+pS4 =  7.61206183613632558824485341162121989e-01L,
+pS5 = -2.56165783329023486777386833928147375e-01L,
+pS6 =  4.80718586374448793411019434585413855e-02L,
+pS7 = -4.42523267167024279410230886239774718e-03L,
+pS8 =  1.44551535183911458253205638280410064e-04L,
+pS9 = -2.10558957916600254061591040482706179e-07L,
+qS1 = -4.84690167848739751544716485245697428e+00L,
+qS2 =  9.96619113536172610135016921140206980e+00L,
+qS3 = -1.13177895428973036660836798461641458e+01L,
+qS4 =  7.74004374389488266169304117714658761e+00L,
+qS5 = -3.25871986053534084709023539900339905e+00L,
+qS6 =  8.27830318881232209752469022352928864e-01L,
+qS7 = -1.18768052702942805423330715206348004e-01L,
+qS8 =  8.32600764660522313269101537926539470e-03L,
+qS9 = -1.99407384882605586705979504567947007e-04L;
+
+/*
+ * atanl()
+ */
+const long double atanhi[] = {
+	 4.63647609000806116214256231461214397e-01L,
+	 7.85398163397448309615660845819875699e-01L,       
+	 9.82793723247329067985710611014666038e-01L,       
+	 1.57079632679489661923132169163975140e+00L,
+};
+
+const long double atanlo[] = {
+	 4.89509642257333492668618435220297706e-36L,
+	 2.16795253253094525619926100651083806e-35L,
+	-2.31288434538183565909319952098066272e-35L,
+	 4.33590506506189051239852201302167613e-35L,
+};
+
+const long double aT[] = {
+	 3.33333333333333333333333333333333125e-01L,
+	-1.99999999999999999999999999999180430e-01L,
+	 1.42857142857142857142857142125269827e-01L,
+	-1.11111111111111111111110834490810169e-01L,
+	 9.09090909090909090908522355708623681e-02L,
+	-7.69230769230769230696553844935357021e-02L,
+	 6.66666666666666660390096773046256096e-02L,
+	-5.88235294117646671706582985209643694e-02L,
+	 5.26315789473666478515847092020327506e-02L,
+	-4.76190476189855517021024424991436144e-02L,
+	 4.34782608678695085948531993458097026e-02L,
+	-3.99999999632663469330634215991142368e-02L,
+	 3.70370363987423702891250829918659723e-02L,
+	-3.44827496515048090726669907612335954e-02L,
+	 3.22579620681420149871973710852268528e-02L,
+	-3.03020767654269261041647570626778067e-02L,
+	 2.85641979882534783223403715930946138e-02L,
+	-2.69824879726738568189929461383741323e-02L,
+	 2.54194698498808542954187110873675769e-02L,
+	-2.35083879708189059926183138130183215e-02L,
+	 2.04832358998165364349957325067131428e-02L,
+	-1.54489555488544397858507248612362957e-02L,
+	 8.64492360989278761493037861575248038e-03L,
+	-2.58521121597609872727919154569765469e-03L,
+};
+
+const long double pi_lo = 8.67181013012378102479704402604335225e-35L;

ld128/invtrig.h

@@ -0,0 +1,113 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/ld128/invtrig.h,v 1.1 2008/07/31 22:41:26 das Exp $
+ */
+
+#include <float.h>
+
+#include "fpmath.h"
+
+#define	BIAS		(LDBL_MAX_EXP - 1)
+#define	MANH_SIZE	(LDBL_MANH_SIZE + 1)
+
+/* Approximation thresholds. */
+#define	ASIN_LINEAR	(BIAS - 56)	/* 2**-56 */
+#define	ACOS_CONST	(BIAS - 113)	/* 2**-113 */
+#define	ATAN_CONST	(BIAS + 113)	/* 2**113 */
+#define	ATAN_LINEAR	(BIAS - 56)	/* 2**-56 */
+
+/* 0.95 */
+#define	THRESH	((0xe666666666666666ULL>>(64-(MANH_SIZE-1)))|LDBL_NBIT)
+
+/* Constants shared by the long double inverse trig functions. */
+#define	pS0	_ItL_pS0
+#define	pS1	_ItL_pS1
+#define	pS2	_ItL_pS2
+#define	pS3	_ItL_pS3
+#define	pS4	_ItL_pS4
+#define	pS5	_ItL_pS5
+#define	pS6	_ItL_pS6
+#define	pS7	_ItL_pS7
+#define	pS8	_ItL_pS8
+#define	pS9	_ItL_pS9
+#define	qS1	_ItL_qS1
+#define	qS2	_ItL_qS2
+#define	qS3	_ItL_qS3
+#define	qS4	_ItL_qS4
+#define	qS5	_ItL_qS5
+#define	qS6	_ItL_qS6
+#define	qS7	_ItL_qS7
+#define	qS8	_ItL_qS8
+#define	qS9	_ItL_qS9
+#define	atanhi	_ItL_atanhi
+#define	atanlo	_ItL_atanlo
+#define	aT	_ItL_aT
+#define	pi_lo	_ItL_pi_lo
+
+#define	pio2_hi	atanhi[3]
+#define	pio2_lo	atanlo[3]
+#define	pio4_hi	atanhi[1]
+
+/* Constants shared by the long double inverse trig functions. */
+extern const long double pS0, pS1, pS2, pS3, pS4, pS5, pS6, pS7, pS8, pS9;
+extern const long double qS1, qS2, qS3, qS4, qS5, qS6, qS7, qS8, qS9;
+extern const long double atanhi[], atanlo[], aT[];
+extern const long double pi_lo;
+
+static inline long double
+P(long double x)
+{
+
+	return (x * (pS0 + x * (pS1 + x * (pS2 + x * (pS3 + x * \
+		(pS4 + x * (pS5 + x * (pS6 + x * (pS7 + x * (pS8 + x * \
+		pS9))))))))));
+}
+
+static inline long double
+Q(long double x)
+{
+
+	return (1.0 + x * (qS1 + x * (qS2 + x * (qS3 + x * (qS4 + x * \
+		(qS5 + x * (qS6 + x * (qS7 + x * (qS8 + x * qS9)))))))));
+}
+
+static inline long double
+T_even(long double x)
+{
+
+	return (aT[0] + x * (aT[2] + x * (aT[4] + x * (aT[6] + x * \
+		(aT[8] + x * (aT[10] + x * (aT[12] + x * (aT[14] + x * \
+		(aT[16] + x * (aT[18] + x * (aT[20] + x * aT[22])))))))))));
+}
+
+static inline long double
+T_odd(long double x)
+{
+
+	return (aT[1] + x * (aT[3] + x * (aT[5] + x * (aT[7] + x * \
+		(aT[9] + x * (aT[11] + x * (aT[13] + x * (aT[15] + x * \
+		(aT[17] + x * (aT[19] + x * (aT[21] + x * aT[23])))))))))));
+}

ld128/k_cosl.c

@@ -0,0 +1,61 @@
+/* From: @(#)k_cos.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+ *
+ * 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 <sys/cdefs.h>
+
+
+/*
+ * ld128 version of k_cos.c.  See ../src/k_cos.c for most comments.
+ */
+
+#include "math_private.h"
+
+/*
+ * Domain [-0.7854, 0.7854], range ~[-1.80e-37, 1.79e-37]:
+ * |cos(x) - c(x))| < 2**-122.0
+ *
+ * 113-bit precision requires more care than 64-bit precision, since
+ * simple methods give a minimax polynomial with coefficient for x^2
+ * that is 1 ulp below 0.5, but we want it to be precisely 0.5.  See
+ * ../ld80/k_cosl.c for more details.
+ */
+static const double
+one = 1.0;
+
+static const long double
+C1 =  0.04166666666666666666666666666666658424671L,
+C2 = -0.001388888888888888888888888888863490893732L,
+C3 =  0.00002480158730158730158730158600795304914210L,
+C4 = -0.2755731922398589065255474947078934284324e-6L,
+C5 =  0.2087675698786809897659225313136400793948e-8L,
+C6 = -0.1147074559772972315817149986812031204775e-10L,
+C7 =  0.4779477332386808976875457937252120293400e-13L;
+
+static const double
+C8 = -0.1561920696721507929516718307820958119868e-15,
+C9 =  0.4110317413744594971475941557607804508039e-18,
+C10 = -0.8896592467191938803288521958313920156409e-21,
+C11 =  0.1601061435794535138244346256065192782581e-23;
+
+long double
+__kernel_cosl(long double x, long double y)
+{
+	long double hz,z,r,w;
+
+	z  = x*x;
+	r  = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*(C6+z*(C7+
+	    z*(C8+z*(C9+z*(C10+z*C11))))))))));
+	hz = 0.5*z;
+	w  = one-hz;
+	return w + (((one-w)-hz) + (z*r-x*y));
+}

ld128/k_sinl.c

@@ -0,0 +1,59 @@
+/* From: @(#)k_sin.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+ *
+ * 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 <sys/cdefs.h>
+
+
+/*
+ * ld128 version of k_sin.c.  See ../src/k_sin.c for most comments.
+ */
+
+#include "math_private.h"
+
+static const double
+half =  0.5;
+
+/*
+ * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37]
+ * |sin(x)/x - s(x)| < 2**-122.1
+ *
+ * See ../ld80/k_cosl.c for more details about the polynomial.
+ */
+static const long double
+S1 = -0.16666666666666666666666666666666666606732416116558L,
+S2 =  0.0083333333333333333333333333333331135404851288270047L,
+S3 = -0.00019841269841269841269841269839935785325638310428717L,
+S4 =  0.27557319223985890652557316053039946268333231205686e-5L,
+S5 = -0.25052108385441718775048214826384312253862930064745e-7L,
+S6 =  0.16059043836821614596571832194524392581082444805729e-9L,
+S7 = -0.76471637318198151807063387954939213287488216303768e-12L,
+S8 =  0.28114572543451292625024967174638477283187397621303e-14L;
+
+static const double
+S9  = -0.82206352458348947812512122163446202498005154296863e-17,
+S10 =  0.19572940011906109418080609928334380560135358385256e-19,
+S11 = -0.38680813379701966970673724299207480965452616911420e-22,
+S12 =  0.64038150078671872796678569586315881020659912139412e-25;
+
+long double
+__kernel_sinl(long double x, long double y, int iy)
+{
+	long double z,r,v;
+
+	z	=  x*x;
+	v	=  z*x;
+	r	=  S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+
+	    z*(S9+z*(S10+z*(S11+z*S12)))))))));
+	if(iy==0) return x+v*(S1+z*r);
+	else      return x-((z*(half*y-v*r)-y)-v*S1);
+}

ld128/k_tanl.c

@@ -0,0 +1,119 @@
+/* From: @(#)k_tan.c 1.5 04/04/22 SMI */
+
+/*
+ * ====================================================
+ * Copyright 2004 Sun Microsystems, Inc.  All Rights Reserved.
+ * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+ *
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+
+
+/*
+ * ld128 version of k_tan.c.  See ../src/k_tan.c for most comments.
+ */
+
+#include "openlibm.h"
+#include "math_private.h"
+
+/*
+ * Domain [-0.67434, 0.67434], range ~[-3.37e-36, 1.982e-37]
+ * |tan(x)/x - t(x)| < 2**-117.8 (XXX should be ~1e-37)
+ *
+ * See ../ld80/k_cosl.c for more details about the polynomial.
+ */
+static const long double
+T3 = 0x1.5555555555555555555555555553p-2L,
+T5 = 0x1.1111111111111111111111111eb5p-3L,
+T7 = 0x1.ba1ba1ba1ba1ba1ba1ba1b694cd6p-5L,
+T9 = 0x1.664f4882c10f9f32d6bbe09d8bcdp-6L,
+T11 = 0x1.226e355e6c23c8f5b4f5762322eep-7L,
+T13 = 0x1.d6d3d0e157ddfb5fed8e84e27b37p-9L,
+T15 = 0x1.7da36452b75e2b5fce9ee7c2c92ep-10L,
+T17 = 0x1.355824803674477dfcf726649efep-11L,
+T19 = 0x1.f57d7734d1656e0aceb716f614c2p-13L,
+T21 = 0x1.967e18afcb180ed942dfdc518d6cp-14L,
+T23 = 0x1.497d8eea21e95bc7e2aa79b9f2cdp-15L,
+T25 = 0x1.0b132d39f055c81be49eff7afd50p-16L,
+T27 = 0x1.b0f72d33eff7bfa2fbc1059d90b6p-18L,
+T29 = 0x1.5ef2daf21d1113df38d0fbc00267p-19L,
+T31 = 0x1.1c77d6eac0234988cdaa04c96626p-20L,
+T33 = 0x1.cd2a5a292b180e0bdd701057dfe3p-22L,
+T35 = 0x1.75c7357d0298c01a31d0a6f7d518p-23L,
+T37 = 0x1.2f3190f4718a9a520f98f50081fcp-24L,
+pio4 = 0x1.921fb54442d18469898cc51701b8p-1L,
+pio4lo = 0x1.cd129024e088a67cc74020bbea60p-116L;
+
+static const double
+T39 =  0.000000028443389121318352,	/*  0x1e8a7592977938.0p-78 */
+T41 =  0.000000011981013102001973,	/*  0x19baa1b1223219.0p-79 */
+T43 =  0.0000000038303578044958070,	/*  0x107385dfb24529.0p-80 */
+T45 =  0.0000000034664378216909893,	/*  0x1dc6c702a05262.0p-81 */
+T47 = -0.0000000015090641701997785,	/* -0x19ecef3569ebb6.0p-82 */
+T49 =  0.0000000029449552300483952,	/*  0x194c0668da786a.0p-81 */
+T51 = -0.0000000022006995706097711,	/* -0x12e763b8845268.0p-81 */
+T53 =  0.0000000015468200913196612,	/*  0x1a92fc98c29554.0p-82 */
+T55 = -0.00000000061311613386849674,	/* -0x151106cbc779a9.0p-83 */
+T57 =  1.4912469681508012e-10;		/*  0x147edbdba6f43a.0p-85 */
+
+long double
+__kernel_tanl(long double x, long double y, int iy) {
+	long double z, r, v, w, s;
+	long double osign;
+	int i;
+
+	iy = (iy == 1 ? -1 : 1);	/* XXX recover original interface */
+	osign = (x >= 0 ? 1.0 : -1.0);	/* XXX slow, probably wrong for -0 */
+	if (fabsl(x) >= 0.67434) {
+		if (x < 0) {
+			x = -x;
+			y = -y;
+		}
+		z = pio4 - x;
+		w = pio4lo - y;
+		x = z + w;
+		y = 0.0;
+		i = 1;
+	} else
+		i = 0;
+	z = x * x;
+	w = z * z;
+	r = T5 + w * (T9 + w * (T13 + w * (T17 + w * (T21 +
+	    w * (T25 + w * (T29 + w * (T33 +
+	    w * (T37 + w * (T41 + w * (T45 + w * (T49 + w * (T53 +
+	    w * T57))))))))))));
+	v = z * (T7 + w * (T11 + w * (T15 + w * (T19 + w * (T23 +
+	    w * (T27 + w * (T31 + w * (T35 +
+	    w * (T39 + w * (T43 + w * (T47 + w * (T51 + w * T55))))))))))));
+	s = z * x;
+	r = y + z * (s * (r + v) + y);
+	r += T3 * s;
+	w = x + r;
+	if (i == 1) {
+		v = (long double) iy;
+		return osign *
+			(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 */
+		long double a, t;
+		z = w;
+		z = z + 0x1p32 - 0x1p32;
+		v = r - (z - x);	/* z+v = r+x */
+		t = a = -1.0 / w;	/* a = -1.0/w */
+		t = t + 0x1p32 - 0x1p32;
+		s = 1.0 + t * z;
+		return t + a * (s + t * v);
+	}
+}

ld128/s_exp2l.c

@@ -0,0 +1,430 @@
+/*-
+ * Copyright (c) 2005-2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+
+
+#include <float.h>
+#include <stdint.h>
+
+#include "fpmath.h"
+#include "openlibm.h"
+
+#define	TBLBITS	7
+#define	TBLSIZE	(1 << TBLBITS)
+
+#define	BIAS	(LDBL_MAX_EXP - 1)
+#define	EXPMASK	(BIAS + LDBL_MAX_EXP)
+
+#if 0 /* XXX Prevent gcc from erroneously constant folding this. */
+static const long double twom10000 = 0x1p-10000L;
+#else
+static volatile long double twom10000 = 0x1p-10000L;
+#endif
+
+static const long double
+    huge      = 0x1p10000L,
+    P1        = 0x1.62e42fefa39ef35793c7673007e6p-1L,
+    P2	      = 0x1.ebfbdff82c58ea86f16b06ec9736p-3L,
+    P3        = 0x1.c6b08d704a0bf8b33a762bad3459p-5L,
+    P4        = 0x1.3b2ab6fba4e7729ccbbe0b4f3fc2p-7L,
+    P5        = 0x1.5d87fe78a67311071dee13fd11d9p-10L,
+    P6        = 0x1.430912f86c7876f4b663b23c5fe5p-13L;
+
+static const double
+    P7        = 0x1.ffcbfc588b041p-17,
+    P8        = 0x1.62c0223a5c7c7p-20,
+    P9        = 0x1.b52541ff59713p-24,
+    P10       = 0x1.e4cf56a391e22p-28,
+    redux     = 0x1.8p112 / TBLSIZE;
+
+static const long double tbl[TBLSIZE] = {
+	0x1.6a09e667f3bcc908b2fb1366dfeap-1L,
+	0x1.6c012750bdabeed76a99800f4edep-1L,
+	0x1.6dfb23c651a2ef220e2cbe1bc0d4p-1L,
+	0x1.6ff7df9519483cf87e1b4f3e1e98p-1L,
+	0x1.71f75e8ec5f73dd2370f2ef0b148p-1L,
+	0x1.73f9a48a58173bd5c9a4e68ab074p-1L,
+	0x1.75feb564267c8bf6e9aa33a489a8p-1L,
+	0x1.780694fde5d3f619ae02808592a4p-1L,
+	0x1.7a11473eb0186d7d51023f6ccb1ap-1L,
+	0x1.7c1ed0130c1327c49334459378dep-1L,
+	0x1.7e2f336cf4e62105d02ba1579756p-1L,
+	0x1.80427543e1a11b60de67649a3842p-1L,
+	0x1.82589994cce128acf88afab34928p-1L,
+	0x1.8471a4623c7acce52f6b97c6444cp-1L,
+	0x1.868d99b4492ec80e41d90ac2556ap-1L,
+	0x1.88ac7d98a669966530bcdf2d4cc0p-1L,
+	0x1.8ace5422aa0db5ba7c55a192c648p-1L,
+	0x1.8cf3216b5448bef2aa1cd161c57ap-1L,
+	0x1.8f1ae991577362b982745c72eddap-1L,
+	0x1.9145b0b91ffc588a61b469f6b6a0p-1L,
+	0x1.93737b0cdc5e4f4501c3f2540ae8p-1L,
+	0x1.95a44cbc8520ee9b483695a0e7fep-1L,
+	0x1.97d829fde4e4f8b9e920f91e8eb6p-1L,
+	0x1.9a0f170ca07b9ba3109b8c467844p-1L,
+	0x1.9c49182a3f0901c7c46b071f28dep-1L,
+	0x1.9e86319e323231824ca78e64c462p-1L,
+	0x1.a0c667b5de564b29ada8b8cabbacp-1L,
+	0x1.a309bec4a2d3358c171f770db1f4p-1L,
+	0x1.a5503b23e255c8b424491caf88ccp-1L,
+	0x1.a799e1330b3586f2dfb2b158f31ep-1L,
+	0x1.a9e6b5579fdbf43eb243bdff53a2p-1L,
+	0x1.ac36bbfd3f379c0db966a3126988p-1L,
+	0x1.ae89f995ad3ad5e8734d17731c80p-1L,
+	0x1.b0e07298db66590842acdfc6fb4ep-1L,
+	0x1.b33a2b84f15faf6bfd0e7bd941b0p-1L,
+	0x1.b59728de559398e3881111648738p-1L,
+	0x1.b7f76f2fb5e46eaa7b081ab53ff6p-1L,
+	0x1.ba5b030a10649840cb3c6af5b74cp-1L,
+	0x1.bcc1e904bc1d2247ba0f45b3d06cp-1L,
+	0x1.bf2c25bd71e088408d7025190cd0p-1L,
+	0x1.c199bdd85529c2220cb12a0916bap-1L,
+	0x1.c40ab5fffd07a6d14df820f17deap-1L,
+	0x1.c67f12e57d14b4a2137fd20f2a26p-1L,
+	0x1.c8f6d9406e7b511acbc48805c3f6p-1L,
+	0x1.cb720dcef90691503cbd1e949d0ap-1L,
+	0x1.cdf0b555dc3f9c44f8958fac4f12p-1L,
+	0x1.d072d4a07897b8d0f22f21a13792p-1L,
+	0x1.d2f87080d89f18ade123989ea50ep-1L,
+	0x1.d5818dcfba48725da05aeb66dff8p-1L,
+	0x1.d80e316c98397bb84f9d048807a0p-1L,
+	0x1.da9e603db3285708c01a5b6d480cp-1L,
+	0x1.dd321f301b4604b695de3c0630c0p-1L,
+	0x1.dfc97337b9b5eb968cac39ed284cp-1L,
+	0x1.e264614f5a128a12761fa17adc74p-1L,
+	0x1.e502ee78b3ff6273d130153992d0p-1L,
+	0x1.e7a51fbc74c834b548b2832378a4p-1L,
+	0x1.ea4afa2a490d9858f73a18f5dab4p-1L,
+	0x1.ecf482d8e67f08db0312fb949d50p-1L,
+	0x1.efa1bee615a27771fd21a92dabb6p-1L,
+	0x1.f252b376bba974e8696fc3638f24p-1L,
+	0x1.f50765b6e4540674f84b762861a6p-1L,
+	0x1.f7bfdad9cbe138913b4bfe72bd78p-1L,
+	0x1.fa7c1819e90d82e90a7e74b26360p-1L,
+	0x1.fd3c22b8f71f10975ba4b32bd006p-1L,
+	0x1.0000000000000000000000000000p+0L,
+	0x1.0163da9fb33356d84a66ae336e98p+0L,
+	0x1.02c9a3e778060ee6f7caca4f7a18p+0L,
+	0x1.04315e86e7f84bd738f9a20da442p+0L,
+	0x1.059b0d31585743ae7c548eb68c6ap+0L,
+	0x1.0706b29ddf6ddc6dc403a9d87b1ep+0L,
+	0x1.0874518759bc808c35f25d942856p+0L,
+	0x1.09e3ecac6f3834521e060c584d5cp+0L,
+	0x1.0b5586cf9890f6298b92b7184200p+0L,
+	0x1.0cc922b7247f7407b705b893dbdep+0L,
+	0x1.0e3ec32d3d1a2020742e4f8af794p+0L,
+	0x1.0fb66affed31af232091dd8a169ep+0L,
+	0x1.11301d0125b50a4ebbf1aed9321cp+0L,
+	0x1.12abdc06c31cbfb92bad324d6f84p+0L,
+	0x1.1429aaea92ddfb34101943b2588ep+0L,
+	0x1.15a98c8a58e512480d573dd562aep+0L,
+	0x1.172b83c7d517adcdf7c8c50eb162p+0L,
+	0x1.18af9388c8de9bbbf70b9a3c269cp+0L,
+	0x1.1a35beb6fcb753cb698f692d2038p+0L,
+	0x1.1bbe084045cd39ab1e72b442810ep+0L,
+	0x1.1d4873168b9aa7805b8028990be8p+0L,
+	0x1.1ed5022fcd91cb8819ff61121fbep+0L,
+	0x1.2063b88628cd63b8eeb0295093f6p+0L,
+	0x1.21f49917ddc962552fd29294bc20p+0L,
+	0x1.2387a6e75623866c1fadb1c159c0p+0L,
+	0x1.251ce4fb2a63f3582ab7de9e9562p+0L,
+	0x1.26b4565e27cdd257a673281d3068p+0L,
+	0x1.284dfe1f5638096cf15cf03c9fa0p+0L,
+	0x1.29e9df51fdee12c25d15f5a25022p+0L,
+	0x1.2b87fd0dad98ffddea46538fca24p+0L,
+	0x1.2d285a6e4030b40091d536d0733ep+0L,
+	0x1.2ecafa93e2f5611ca0f45d5239a4p+0L,
+	0x1.306fe0a31b7152de8d5a463063bep+0L,
+	0x1.32170fc4cd8313539cf1c3009330p+0L,
+	0x1.33c08b26416ff4c9c8610d96680ep+0L,
+	0x1.356c55f929ff0c94623476373be4p+0L,
+	0x1.371a7373aa9caa7145502f45452ap+0L,
+	0x1.38cae6d05d86585a9cb0d9bed530p+0L,
+	0x1.3a7db34e59ff6ea1bc9299e0a1fep+0L,
+	0x1.3c32dc313a8e484001f228b58cf0p+0L,
+	0x1.3dea64c12342235b41223e13d7eep+0L,
+	0x1.3fa4504ac801ba0bf701aa417b9cp+0L,
+	0x1.4160a21f72e29f84325b8f3dbacap+0L,
+	0x1.431f5d950a896dc704439410b628p+0L,
+	0x1.44e086061892d03136f409df0724p+0L,
+	0x1.46a41ed1d005772512f459229f0ap+0L,
+	0x1.486a2b5c13cd013c1a3b69062f26p+0L,
+	0x1.4a32af0d7d3de672d8bcf46f99b4p+0L,
+	0x1.4bfdad5362a271d4397afec42e36p+0L,
+	0x1.4dcb299fddd0d63b36ef1a9e19dep+0L,
+	0x1.4f9b2769d2ca6ad33d8b69aa0b8cp+0L,
+	0x1.516daa2cf6641c112f52c84d6066p+0L,
+	0x1.5342b569d4f81df0a83c49d86bf4p+0L,
+	0x1.551a4ca5d920ec52ec620243540cp+0L,
+	0x1.56f4736b527da66ecb004764e61ep+0L,
+	0x1.58d12d497c7fd252bc2b7343d554p+0L,
+	0x1.5ab07dd48542958c93015191e9a8p+0L,
+	0x1.5c9268a5946b701c4b1b81697ed4p+0L,
+	0x1.5e76f15ad21486e9be4c20399d12p+0L,
+	0x1.605e1b976dc08b076f592a487066p+0L,
+	0x1.6247eb03a5584b1f0fa06fd2d9eap+0L,
+	0x1.6434634ccc31fc76f8714c4ee122p+0L,
+	0x1.66238825522249127d9e29b92ea2p+0L,
+	0x1.68155d44ca973081c57227b9f69ep+0L,
+};
+
+static const float eps[TBLSIZE] = {
+	-0x1.5c50p-101,
+	-0x1.5d00p-106,
+	 0x1.8e90p-102,
+	-0x1.5340p-103,
+	 0x1.1bd0p-102,
+	-0x1.4600p-105,
+	-0x1.7a40p-104,
+	 0x1.d590p-102,
+	-0x1.d590p-101,
+	 0x1.b100p-103,
+	-0x1.0d80p-105,
+	 0x1.6b00p-103,
+	-0x1.9f00p-105,
+	 0x1.c400p-103,
+	 0x1.e120p-103,
+	-0x1.c100p-104,
+	-0x1.9d20p-103,
+	 0x1.a800p-108,
+	 0x1.4c00p-106,
+	-0x1.9500p-106,
+	 0x1.6900p-105,
+	-0x1.29d0p-100,
+	 0x1.4c60p-103,
+	 0x1.13a0p-102,
+	-0x1.5b60p-103,
+	-0x1.1c40p-103,
+	 0x1.db80p-102,
+	 0x1.91a0p-102,
+	 0x1.dc00p-105,
+	 0x1.44c0p-104,
+	 0x1.9710p-102,
+	 0x1.8760p-103,
+	-0x1.a720p-103,
+	 0x1.ed20p-103,
+	-0x1.49c0p-102,
+	-0x1.e000p-111,
+	 0x1.86a0p-103,
+	 0x1.2b40p-103,
+	-0x1.b400p-108,
+	 0x1.1280p-99,
+	-0x1.02d8p-102,
+	-0x1.e3d0p-103,
+	-0x1.b080p-105,
+	-0x1.f100p-107,
+	-0x1.16c0p-105,
+	-0x1.1190p-103,
+	-0x1.a7d2p-100,
+	 0x1.3450p-103,
+	-0x1.67c0p-105,
+	 0x1.4b80p-104,
+	-0x1.c4e0p-103,
+	 0x1.6000p-108,
+	-0x1.3f60p-105,
+	 0x1.93f0p-104,
+	 0x1.5fe0p-105,
+	 0x1.6f80p-107,
+	-0x1.7600p-106,
+	 0x1.21e0p-106,
+	-0x1.3a40p-106,
+	-0x1.40c0p-104,
+	-0x1.9860p-105,
+	-0x1.5d40p-108,
+	-0x1.1d70p-106,
+	 0x1.2760p-105,
+	 0x0.0000p+0,
+	 0x1.21e2p-104,
+	-0x1.9520p-108,
+	-0x1.5720p-106,
+	-0x1.4810p-106,
+	-0x1.be00p-109,
+	 0x1.0080p-105,
+	-0x1.5780p-108,
+	-0x1.d460p-105,
+	-0x1.6140p-105,
+	 0x1.4630p-104,
+	 0x1.ad50p-103,
+	 0x1.82e0p-105,
+	 0x1.1d3cp-101,
+	 0x1.6100p-107,
+	 0x1.ec30p-104,
+	 0x1.f200p-108,
+	 0x1.0b40p-103,
+	 0x1.3660p-102,
+	 0x1.d9d0p-103,
+	-0x1.02d0p-102,
+	 0x1.b070p-103,
+	 0x1.b9c0p-104,
+	-0x1.01c0p-103,
+	-0x1.dfe0p-103,
+	 0x1.1b60p-104,
+	-0x1.ae94p-101,
+	-0x1.3340p-104,
+	 0x1.b3d8p-102,
+	-0x1.6e40p-105,
+	-0x1.3670p-103,
+	 0x1.c140p-104,
+	 0x1.1840p-101,
+	 0x1.1ab0p-102,
+	-0x1.a400p-104,
+	 0x1.1f00p-104,
+	-0x1.7180p-103,
+	 0x1.4ce0p-102,
+	 0x1.9200p-107,
+	-0x1.54c0p-103,
+	 0x1.1b80p-105,
+	-0x1.1828p-101,
+	 0x1.5720p-102,
+	-0x1.a060p-100,
+	 0x1.9160p-102,
+	 0x1.a280p-104,
+	 0x1.3400p-107,
+	 0x1.2b20p-102,
+	 0x1.7800p-108,
+	 0x1.cfd0p-101,
+	 0x1.2ef0p-102,
+	-0x1.2760p-99,
+	 0x1.b380p-104,
+	 0x1.0048p-101,
+	-0x1.60b0p-102,
+	 0x1.a1ccp-100,
+	-0x1.a640p-104,
+	-0x1.08a0p-101,
+	 0x1.7e60p-102,
+	 0x1.22c0p-103,
+	-0x1.7200p-106,
+	 0x1.f0f0p-102,
+	 0x1.eb4ep-99,
+	 0x1.c6e0p-103,
+};
+
+/*
+ * exp2l(x): compute the base 2 exponential of x
+ *
+ * Accuracy: Peak error < 0.502 ulp.
+ *
+ * Method: (accurate tables)
+ *
+ *   Reduce x:
+ *     x = 2**k + y, for integer k and |y| <= 1/2.
+ *     Thus we have exp2(x) = 2**k * exp2(y).
+ *
+ *   Reduce y:
+ *     y = i/TBLSIZE + z - eps[i] for integer i near y * TBLSIZE.
+ *     Thus we have exp2(y) = exp2(i/TBLSIZE) * exp2(z - eps[i]),
+ *     with |z - eps[i]| <= 2**-8 + 2**-98 for the table used.
+ *
+ *   We compute exp2(i/TBLSIZE) via table lookup and exp2(z - eps[i]) via
+ *   a degree-10 minimax polynomial with maximum error under 2**-120.
+ *   The values in exp2t[] and eps[] are chosen such that
+ *   exp2t[i] = exp2(i/TBLSIZE + eps[i]), and eps[i] is a small offset such
+ *   that exp2t[i] is accurate to 2**-122.
+ *
+ *   Note that the range of i is +-TBLSIZE/2, so we actually index the tables
+ *   by i0 = i + TBLSIZE/2.
+ *
+ *   This method is due to Gal, with many details due to Gal and Bachelis:
+ *
+ *	Gal, S. and Bachelis, B.  An Accurate Elementary Mathematical Library
+ *	for the IEEE Floating Point Standard.  TOMS 17(1), 26-46 (1991).
+ */
+long double
+exp2l(long double x)
+{
+	union IEEEl2bits u, v;
+	long double r, t, twopk, twopkp10000, z;
+	uint32_t hx, ix, i0;
+	int k;
+
+	u.e = x;
+
+	/* Filter out exceptional cases. */
+	hx = u.xbits.expsign;
+	ix = hx & EXPMASK;
+	if (ix >= BIAS + 14) {		/* |x| >= 16384 */
+		if (ix == BIAS + LDBL_MAX_EXP) {
+			if (u.xbits.manh != 0
+			    || u.xbits.manl != 0
+			    || (hx & 0x8000) == 0)
+				return (x + x);	/* x is NaN or +Inf */
+			else 
+				return (0.0);	/* x is -Inf */
+		}
+		if (x >= 16384)
+			return (huge * huge); /* overflow */
+		if (x <= -16495)
+			return (twom10000 * twom10000); /* underflow */
+	} else if (ix <= BIAS - 115) {		/* |x| < 0x1p-115 */
+		return (1.0 + x);
+	}
+
+	/*
+	 * Reduce x, computing z, i0, and k. The low bits of x + redux
+	 * contain the 16-bit integer part of the exponent (k) followed by
+	 * TBLBITS fractional bits (i0). We use bit tricks to extract these
+	 * as integers, then set z to the remainder.
+	 *
+	 * Example: Suppose x is 0xabc.123456p0 and TBLBITS is 8.
+	 * Then the low-order word of x + redux is 0x000abc12,
+	 * We split this into k = 0xabc and i0 = 0x12 (adjusted to
+	 * index into the table), then we compute z = 0x0.003456p0.
+	 *
+	 * XXX If the exponent is negative, the computation of k depends on
+	 *     '>>' doing sign extension.
+	 */
+	u.e = x + redux;
+	i0 = (u.bits.manl & 0xffffffff) + TBLSIZE / 2;
+	k = (int)i0 >> TBLBITS;
+	i0 = i0 & (TBLSIZE - 1);
+	u.e -= redux;
+	z = x - u.e;
+	v.xbits.manh = 0;
+	v.xbits.manl = 0;
+	if (k >= LDBL_MIN_EXP) {
+		v.xbits.expsign = LDBL_MAX_EXP - 1 + k;
+		twopk = v.e;
+	} else {
+		v.xbits.expsign = LDBL_MAX_EXP - 1 + k + 10000;
+		twopkp10000 = v.e;
+	}
+
+	/* Compute r = exp2(y) = exp2t[i0] * p(z - eps[i]). */
+	t = tbl[i0];		/* exp2t[i0] */
+	z -= eps[i0];		/* eps[i0]   */
+	r = t + t * z * (P1 + z * (P2 + z * (P3 + z * (P4 + z * (P5 + z * (P6
+	    + z * (P7 + z * (P8 + z * (P9 + z * P10)))))))));
+
+	/* Scale by 2**k. */
+	if(k >= LDBL_MIN_EXP) {
+		if (k == LDBL_MAX_EXP)
+			return (r * 2.0 * 0x1p16383L);
+		return (r * twopk);
+	} else {
+		return (r * twopkp10000 * twom10000);
+	}
+}

ld128/s_nanl.c

@@ -0,0 +1,46 @@
+/*-
+ * Copyright (c) 2007 David Schultz
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/ld128/s_nanl.c,v 1.3 2008/03/02 20:16:55 das Exp $
+ */
+
+#include "openlibm.h"
+
+#include "fpmath.h"
+#include "../src/math_private.h"
+
+long double
+nanl(const char *s)
+{
+	union {
+		union IEEEl2bits ieee;
+		uint32_t bits[4];
+	} u;
+
+	_scan_nan(u.bits, 4, s);
+	u.ieee.bits.exp = 0x7fff;
+	u.ieee.bits.manh |= 1ULL << 47;	/* make it a quiet NaN */
+	return (u.ieee.e);
+}

src/FILES

@@ -0,0 +1,192 @@
+ e_acos.c
+ e_acosf.c
+ e_acosh.c
+ e_acoshf.c
+ e_acosl.c
+ e_asin.c
+ e_asinf.c
+ e_asinl.c
+ e_atan2.c
+ e_atan2f.c
+ e_atan2l.c
+ e_atanh.c
+ e_atanhf.c
+ e_cosh.c
+ e_coshf.c
+ e_exp.c
+ e_expf.c
+ e_fmod.c
+ e_fmodf.c
+ e_fmodl.c
+ e_gamma.c
+ e_gamma_r.c
+ e_gammaf.c
+ e_gammaf_r.c
+ e_hypot.c
+ e_hypotf.c
+ e_hypotl.c
+ e_j0.c
+ e_j0f.c
+ e_j1.c
+ e_j1f.c
+ e_jn.c
+ e_jnf.c
+ e_lgamma.c
+ e_lgamma_r.c
+ e_lgammaf.c
+ e_lgammaf_r.c
+ e_log.c
+ e_log10.c
+ e_log10f.c
+ e_logf.c
+ e_pow.c
+ e_powf.c
+ e_rem_pio2.c
+ e_rem_pio2f.c
+ e_remainder.c
+ e_remainderf.c
+ e_remainderl.c
+ e_scalb.c
+ e_scalbf.c
+ e_sinh.c
+ e_sinhf.c
+ e_sqrt.c
+ e_sqrtf.c
+ e_sqrtl.c
+ k_cos.c
+ k_cosf.c
+ k_rem_pio2.c
+ k_sin.c
+ k_sinf.c
+ k_tan.c
+ k_tanf.c
+ math.h
+ math_private.h
+ s_asinh.c
+ s_asinhf.c
+ s_atan.c
+ s_atanf.c
+ s_atanl.c
+ s_carg.c
+ s_cargf.c
+ s_cargl.c
+ s_cbrt.c
+ s_cbrtf.c
+ s_ceil.c
+ s_ceilf.c
+ s_ceill.c
+ s_cimag.c
+ s_cimagf.c
+ s_cimagl.c
+ s_conj.c
+ s_conjf.c
+ s_conjl.c
+ s_copysign.c
+ s_copysignf.c
+ s_copysignl.c
+ s_cos.c
+ s_cosf.c
+ s_cosl.c
+ s_cproj.c
+ s_cprojf.c
+ s_cprojl.c
+ s_creal.c
+ s_crealf.c
+ s_creall.c
+ s_csqrt.c
+ s_csqrtf.c
+ s_csqrtl.c
+ s_erf.c
+ s_erff.c
+ s_exp2.c
+ s_exp2f.c
+ s_expm1.c
+ s_expm1f.c
+ s_fabs.c
+ s_fabsf.c
+ s_fabsl.c
+ s_fdim.c
+ s_finite.c
+ s_finitef.c
+ s_floor.c
+ s_floorf.c
+ s_floorl.c
+ s_fma.c
+ s_fmaf.c
+ s_fmal.c
+ s_fmax.c
+ s_fmaxf.c
+ s_fmaxl.c
+ s_fmin.c
+ s_fminf.c
+ s_fminl.c
+ s_frexp.c
+ s_frexpf.c
+ s_frexpl.c
+ s_ilogb.c
+ s_ilogbf.c
+ s_ilogbl.c
+ s_isfinite.c
+ s_isnan.c
+ s_isnormal.c
+ s_llrint.c
+ s_llrintf.c
+ s_llrintl.c
+ s_llround.c
+ s_llroundf.c
+ s_llroundl.c
+ s_log1p.c
+ s_log1pf.c
+ s_logb.c
+ s_logbf.c
+ s_logbl.c
+ s_lrint.c
+ s_lrintf.c
+ s_lrintl.c
+ s_lround.c
+ s_lroundf.c
+ s_lroundl.c
+ s_modf.c
+ s_modff.c
+ s_modfl.c
+ s_nan.c
+ s_nearbyint.c
+ s_nextafter.c
+ s_nextafterf.c
+ s_nextafterl.c
+ s_nexttoward.c
+ s_nexttowardf.c
+ s_remquo.c
+ s_remquof.c
+ s_remquol.c
+ s_rint.c
+ s_rintf.c
+ s_rintl.c
+ s_round.c
+ s_roundf.c
+ s_roundl.c
+ s_scalbln.c
+ s_scalbn.c
+ s_scalbnf.c
+ s_scalbnl.c
+ s_signbit.c
+ s_signgam.c
+ s_significand.c
+ s_significandf.c
+ s_sin.c
+ s_sinf.c
+ s_sinl.c
+ s_tan.c
+ s_tanf.c
+ s_tanh.c
+ s_tanhf.c
+ s_tanl.c
+ s_tgammaf.c
+ s_trunc.c
+ s_truncf.c
+ s_truncl.c
+ w_cabs.c
+ w_cabsf.c
+ w_cabsl.c
+ w_drem.c
+ w_dremf.c

src/e_acos.c

@@ -0,0 +1,111 @@
+
+/* @(#)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.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+
+
+/* __ieee754_acos(x)
+ * Method :                  
+ *	acos(x)  = pi/2 - asin(x)
+ *	acos(-x) = pi/2 + asin(x)
+ * For |x|<=0.5
+ *	acos(x) = pi/2 - (x + x*x^2*R(x^2))	(see asin.c)
+ * For x>0.5
+ * 	acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2)))
+ *		= 2asin(sqrt((1-x)/2))  
+ *		= 2s + 2s*z*R(z) 	...z=(1-x)/2, s=sqrt(z)
+ *		= 2f + (2c + 2s*z*R(z))
+ *     where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term
+ *     for f so that f+c ~ sqrt(z).
+ * For x<-0.5
+ *	acos(x) = pi - 2asin(sqrt((1-|x|)/2))
+ *		= pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z)
+ *
+ * Special cases:
+ *	if x is NaN, return x itself;
+ *	if |x|>1, return NaN with invalid signal.
+ *
+ * Function needed: sqrt
+ */
+
+#include <float.h>
+
+#include "openlibm.h"
+#include "math_private.h"
+
+static const double
+one=  1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+pi =  3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
+pio2_hi =  1.57079632679489655800e+00; /* 0x3FF921FB, 0x54442D18 */
+static volatile double
+pio2_lo =  6.12323399573676603587e-17; /* 0x3C91A626, 0x33145C07 */
+static const double
+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 */
+
+double
+__ieee754_acos(double x)
+{
+	double z,p,q,r,w,s,c,df;
+	int32_t hx,ix;
+	GET_HIGH_WORD(hx,x);
+	ix = hx&0x7fffffff;
+	if(ix>=0x3ff00000) {	/* |x| >= 1 */
+	    u_int32_t lx;
+	    GET_LOW_WORD(lx,x);
+	    if(((ix-0x3ff00000)|lx)==0) {	/* |x|==1 */
+		if(hx>0) return 0.0;		/* acos(1) = 0  */
+		else return pi+2.0*pio2_lo;	/* acos(-1)= pi */
+	    }
+	    return (x-x)/(x-x);		/* acos(|x|>1) is NaN */
+	}
+	if(ix<0x3fe00000) {	/* |x| < 0.5 */
+	    if(ix<=0x3c600000) return pio2_hi+pio2_lo;/*if|x|<2**-57*/
+	    z = x*x;
+	    p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+	    q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+	    r = p/q;
+	    return pio2_hi - (x - (pio2_lo-x*r));
+	} else  if (hx<0) {		/* x < -0.5 */
+	    z = (one+x)*0.5;
+	    p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+	    q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+	    s = 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 = sqrt(z);
+	    df = s;
+	    SET_LOW_WORD(df,0);
+	    c  = (z-df*df)/(s+df);
+	    p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+	    q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+	    r = p/q;
+	    w = r*s+c;
+	    return 2.0*(df+w);
+	}
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(acos, acosl);
+#endif

src/e_acosf.c

@@ -0,0 +1,77 @@
+/* e_acosf.c -- float version of e_acos.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+
+
+#include "openlibm.h"
+#include "math_private.h"
+
+static const float
+one =  1.0000000000e+00, /* 0x3F800000 */
+pi =  3.1415925026e+00, /* 0x40490fda */
+pio2_hi =  1.5707962513e+00; /* 0x3fc90fda */
+static volatile float
+pio2_lo =  7.5497894159e-08; /* 0x33a22168 */
+static const float
+pS0 =  1.6666586697e-01,
+pS1 = -4.2743422091e-02,
+pS2 = -8.6563630030e-03,
+qS1 = -7.0662963390e-01;
+
+float
+__ieee754_acosf(float x)
+{
+	float z,p,q,r,w,s,c,df;
+	int32_t hx,ix;
+	GET_FLOAT_WORD(hx,x);
+	ix = hx&0x7fffffff;
+	if(ix>=0x3f800000) {		/* |x| >= 1 */
+	    if(ix==0x3f800000) {	/* |x| == 1 */
+		if(hx>0) return 0.0;	/* acos(1) = 0 */
+		else return pi+(float)2.0*pio2_lo;	/* acos(-1)= pi */
+	    }
+	    return (x-x)/(x-x);		/* acos(|x|>1) is NaN */
+	}
+	if(ix<0x3f000000) {	/* |x| < 0.5 */
+	    if(ix<=0x32800000) return pio2_hi+pio2_lo;/*if|x|<2**-26*/
+	    z = x*x;
+	    p = z*(pS0+z*(pS1+z*pS2));
+	    q = one+z*qS1;
+	    r = p/q;
+	    return pio2_hi - (x - (pio2_lo-x*r));
+	} else  if (hx<0) {		/* x < -0.5 */
+	    z = (one+x)*(float)0.5;
+	    p = z*(pS0+z*(pS1+z*pS2));
+	    q = one+z*qS1;
+	    s = sqrtf(z);
+	    r = p/q;
+	    w = r*s-pio2_lo;
+	    return pi - (float)2.0*(s+w);
+	} else {			/* x > 0.5 */
+	    int32_t idf;
+	    z = (one-x)*(float)0.5;
+	    s = sqrtf(z);
+	    df = s;
+	    GET_FLOAT_WORD(idf,df);
+	    SET_FLOAT_WORD(df,idf&0xfffff000);
+	    c  = (z-df*df)/(s+df);
+	    p = z*(pS0+z*(pS1+z*pS2));
+	    q = one+z*qS1;
+	    r = p/q;
+	    w = r*s+c;
+	    return (float)2.0*(df+w);
+	}
+}

src/e_acosh.c

@@ -0,0 +1,62 @@
+
+/* @(#)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.
+ * ====================================================
+ *
+ */
+
+#include <sys/cdefs.h>
+
+
+/* __ieee754_acosh(x)
+ * Method :
+ *	Based on 
+ *		acosh(x) = log [ x + sqrt(x*x-1) ]
+ *	we have
+ *		acosh(x) := log(x)+ln2,	if x is large; else
+ *		acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else
+ *		acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1.
+ *
+ * Special cases:
+ *	acosh(x) is NaN with signal if x<1.
+ *	acosh(NaN) is NaN without signal.
+ */
+
+#include "openlibm.h"
+#include "math_private.h"
+
+static const double
+one	= 1.0,
+ln2	= 6.93147180559945286227e-01;  /* 0x3FE62E42, 0xFEFA39EF */
+
+double
+__ieee754_acosh(double x)
+{
+	double t;
+	int32_t hx;
+	u_int32_t lx;
+	EXTRACT_WORDS(hx,lx,x);
+	if(hx<0x3ff00000) {		/* x < 1 */
+	    return (x-x)/(x-x);
+	} else if(hx >=0x41b00000) {	/* x > 2**28 */
+	    if(hx >=0x7ff00000) {	/* x is inf of NaN */
+	        return x+x;
+	    } else 
+		return __ieee754_log(x)+ln2;	/* acosh(huge)=log(2x) */
+	} else if(((hx-0x3ff00000)|lx)==0) {
+	    return 0.0;			/* acosh(1) = 0 */
+	} else if (hx > 0x40000000) {	/* 2**28 > x > 2 */
+	    t=x*x;
+	    return __ieee754_log(2.0*x-one/(x+sqrt(t-one)));
+	} else {			/* 1<x<2 */
+	    t = x-one;
+	    return log1p(t+sqrt(2.0*t+t*t));
+	}
+}