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-rw-r--r--sysdeps/i386/fpu/s_asinhl.S147
1 files changed, 147 insertions, 0 deletions
diff --git a/sysdeps/i386/fpu/s_asinhl.S b/sysdeps/i386/fpu/s_asinhl.S
new file mode 100644
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+++ b/sysdeps/i386/fpu/s_asinhl.S
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+/* ix87 specific implementation of arcsinh.
+   Copyright (C) 1996, 1997 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+   Contributed by Ulrich Drepper <drepper@cygnus.com>, 1996.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Library General Public License as
+   published by the Free Software Foundation; either version 2 of the
+   License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Library General Public License for more details.
+
+   You should have received a copy of the GNU Library General Public
+   License along with the GNU C Library; see the file COPYING.LIB.  If not,
+   write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+   Boston, MA 02111-1307, USA.  */
+
+#include <machine/asm.h>
+
+#ifdef __ELF__
+	.section .rodata
+#else
+	.text
+#endif
+
+	.align ALIGNARG(4)
+	ASM_TYPE_DIRECTIVE(huge,@object)
+huge:	.tfloat 1e+4930
+	ASM_SIZE_DIRECTIVE(huge)
+	.align ALIGNARG(4)
+	/* Please note that we use double value for 1.0.  This number
+	   has an exact representation and so we don't get accuracy
+	   problems.  The advantage is that the code is simpler.  */
+	ASM_TYPE_DIRECTIVE(one,@object)
+one:	.double 1.0
+	ASM_SIZE_DIRECTIVE(one)
+	/* It is not important that this constant is precise.  It is only
+	   a value which is known to be on the safe side for using the
+	   fyl2xp1 instruction.  */
+	ASM_TYPE_DIRECTIVE(limit,@object)
+limit:	.double 0.29
+	ASM_SIZE_DIRECTIVE(limit)
+
+#ifdef PIC
+#define MO(op) op##@GOTOFF(%edx)
+#else
+#define MO(op) op
+#endif
+
+	.text
+ENTRY(__asinhl)
+	movl	12(%esp), %ecx
+	movl	$0x7fff, %eax
+	andl	%ecx, %eax
+	andl	$0x8000, %ecx
+	movl	%eax, %edx
+	orl	$0xffff8000, %edx
+	incl	%edx
+	jz	7f			// x in ħInf or NaN
+	xorl	%ecx, 12(%esp)
+	fldt	4(%esp)			// |x|
+	cmpl	$0x3fde, %eax
+	jb	2f			// |x| < 2^-34
+	fldln2				// log(2) : |x|
+	cmpl	$0x4020, %eax
+	fxch				// |x| : log(2)
+	ja	3f			// |x| > 2^34
+#ifdef	PIC
+	call	1f
+1:	popl	%edx
+	addl	$_GLOBAL_OFFSET_TABLE_+[.-1b], %edx
+#endif
+	cmpl	$0x4000, %eax
+	ja	5f			// |x| > 2
+
+	// 2^-34 <= |x| <= 2 => y = sign(x)*log1p(|x|+|x|^2/(1+sqrt(1+|x|^2)))
+	fld	%st			// |x| : |x| : log(2)
+	fmul	%st(1)			// |x|^2 : |x| : log(2)
+	fld	%st			// |x|^2 : |x|^2 : |x| : log(2)
+	faddl	MO(one)			// 1+|x|^2 : |x|^2 : |x| : log(2)
+	fsqrt				// sqrt(1+|x|^2) : |x|^2 : |x| : log(2)
+	faddl	MO(one)			// 1+sqrt(1+|x|^2) : |x|^2 : |x| : log(2)
+	fdivrp				// |x|^2/(1+sqrt(1+|x|^2)) : |x| : log(2)
+	faddp				// |x|+|x|^2/(1+sqrt(1+|x|^2)) : log(2)
+	fcoml	MO(limit)
+	fnstsw
+	sahf
+	ja	6f
+	fyl2xp1
+	jecxz	4f
+	fchs
+4:	ret
+
+7:	fldt	4(%esp)
+	ret
+
+6:	faddl	MO(one)
+	fyl2x
+	jecxz	4f
+	fchs
+4:	ret
+
+	// |x| < 2^-34 => y = x (inexact iff |x| != 0.0)
+	.align ALIGNARG(4)
+2:
+#ifdef	PIC
+	call	1f
+1:	popl	%edx
+	addl	$_GLOBAL_OFFSET_TABLE_+[.-1b], %edx
+#endif
+	jecxz	4f
+	fchs				// x
+4:	fld	%st			// x : x
+	fldt	MO(huge)		// huge : x : x
+	faddp				// huge+x : x
+	fstp	%st(0)			// x
+	ret
+
+	// |x| > 2^34 => y = sign(x) * (log(|x|) + log(2))
+	.align ALIGNARG(4)
+3:	fyl2x				// log(|x|)
+	fldln2				// log(2) : log(|x|)
+	faddp				// log(|x|)+log(2)
+	jecxz	4f
+	fchs
+4:	ret
+
+	// |x| > 2 => y = sign(x) * log(2*|x| + 1/(|x|+sqrt(x*x+1)))
+	.align ALIGNARG(4)
+5:	fld	%st			// |x| : |x| : log(2)
+	fadd	%st, %st(1)		// |x| : 2*|x| : log(2)
+	fld	%st			// |x| : |x| : 2*|x| : log(2)
+	fmul	%st(1)			// |x|^2 : |x| : 2*|x| : log(2)
+	faddl	MO(one)			// 1+|x|^2 : |x| : 2*|x| : log(2)
+	fsqrt				// sqrt(1+|x|^2) : |x| : 2*|x| : log(2)
+	faddp				// |x|+sqrt(1+|x|^2) : 2*|x| : log(2)
+	fdivrl	MO(one)			// 1/(|x|+sqrt(1+|x|^2)) : 2*|x| : log(2)
+	faddp				// 2*|x|+1/(|x|+sqrt(1+|x|^2)) : log(2)
+	fyl2x				// log(2*|x|+1/(|x|+sqrt(1+|x|^2)))
+	jecxz	4f
+	fchs
+4:	ret
+END(__asinhl)
+weak_alias (__asinhl, asinhl)