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authorUlrich Drepper <drepper@redhat.com>1999-07-14 00:54:57 +0000
committerUlrich Drepper <drepper@redhat.com>1999-07-14 00:54:57 +0000
commitabfbdde177c3a7155070dda1b2cdc8292054cc26 (patch)
treee021306b596381fbf8311d2b7eb294e918ff17c8 /sysdeps/i386/fpu/s_asinh.S
parent86421aa57ecfd70963ae66848bd6a6dd3b8e0fe6 (diff)
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Update.
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diff --git a/sysdeps/i386/fpu/s_asinh.S b/sysdeps/i386/fpu/s_asinh.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: .double 1e+300
+ ASM_SIZE_DIRECTIVE(huge)
+ ASM_TYPE_DIRECTIVE(one,@object)
+one: .double 1.0
+ ASM_SIZE_DIRECTIVE(one)
+ 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(__asinh)
+ movl 8(%esp), %ecx
+ movl $0x7fffffff, %eax
+ andl %ecx, %eax
+ andl $0x80000000, %ecx
+ movl %eax, %edx
+ orl $0x800fffff, %edx
+ incl %edx
+ jz 7f // x in ħInf or NaN
+ xorl %ecx, 8(%esp)
+ fldl 4(%esp) // |x|
+ cmpl $0x3e300000, %eax
+ jb 2f // |x| < 2^-28
+ fldln2 // log(2) : |x|
+ cmpl $0x41b00000, %eax
+ fxch // |x| : log(2)
+ ja 3f // |x| > 2^28
+#ifdef PIC
+ call 1f
+1: popl %edx
+ addl $_GLOBAL_OFFSET_TABLE_+[.-1b], %edx
+#endif
+ cmpl $0x40000000, %eax
+ ja 5f // |x| > 2
+
+ // 2^-28 <= |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: fldl 4(%esp)
+ ret
+
+6: faddl MO(one)
+ fyl2x
+ jecxz 4f
+ fchs
+4: ret
+
+ // |x| < 2^-28 => 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
+ faddl MO(huge) // huge+x : x
+ fstp %st(0) // x
+ ret
+
+ // |x| > 2^28 => 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(__asinh)
+weak_alias (__asinh, asinh)