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140 lines
3.7 KiB
ArmAsm
140 lines
3.7 KiB
ArmAsm
/* ix87 specific implementation of arcsinh.
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Copyright (C) 1996-1997, 2005, 2012 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Ulrich Drepper <drepper@cygnus.com>, 1996.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, write to the Free
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Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
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02111-1307 USA. */
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#include <machine/asm.h>
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.section .rodata
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.align ALIGNARG(4)
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ASM_TYPE_DIRECTIVE(huge,@object)
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huge: .tfloat 1e+4930
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ASM_SIZE_DIRECTIVE(huge)
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.align ALIGNARG(4)
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/* Please note that we use double value for 1.0. This number
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has an exact representation and so we don't get accuracy
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problems. The advantage is that the code is simpler. */
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ASM_TYPE_DIRECTIVE(one,@object)
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one: .double 1.0
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ASM_SIZE_DIRECTIVE(one)
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/* It is not important that this constant is precise. It is only
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a value which is known to be on the safe side for using the
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fyl2xp1 instruction. */
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ASM_TYPE_DIRECTIVE(limit,@object)
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limit: .double 0.29
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ASM_SIZE_DIRECTIVE(limit)
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#ifdef PIC
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#define MO(op) op##@GOTOFF(%edx)
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#else
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#define MO(op) op
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#endif
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.text
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ENTRY(__asinhl)
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movl 12(%esp), %ecx
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movl $0x7fff, %eax
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andl %ecx, %eax
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andl $0x8000, %ecx
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movl %eax, %edx
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orl $0xffff8000, %edx
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incl %edx
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jz 7f // x in ±Inf or NaN
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xorl %ecx, 12(%esp)
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fldt 4(%esp) // |x|
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cmpl $0x3fde, %eax
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jb 2f // |x| < 2^-34
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fldln2 // log(2) : |x|
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cmpl $0x4020, %eax
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fxch // |x| : log(2)
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ja 3f // |x| > 2^34
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#ifdef PIC
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LOAD_PIC_REG (dx)
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#endif
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cmpl $0x4000, %eax
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ja 5f // |x| > 2
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// 2^-34 <= |x| <= 2 => y = sign(x)*log1p(|x|+|x|^2/(1+sqrt(1+|x|^2)))
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fld %st // |x| : |x| : log(2)
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fmul %st(1) // |x|^2 : |x| : log(2)
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fld %st // |x|^2 : |x|^2 : |x| : log(2)
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faddl MO(one) // 1+|x|^2 : |x|^2 : |x| : log(2)
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fsqrt // sqrt(1+|x|^2) : |x|^2 : |x| : log(2)
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faddl MO(one) // 1+sqrt(1+|x|^2) : |x|^2 : |x| : log(2)
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fdivrp // |x|^2/(1+sqrt(1+|x|^2)) : |x| : log(2)
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faddp // |x|+|x|^2/(1+sqrt(1+|x|^2)) : log(2)
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fcoml MO(limit)
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fnstsw
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sahf
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ja 6f
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fyl2xp1
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jecxz 4f
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fchs
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4: ret
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7: fldt 4(%esp)
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ret
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6: faddl MO(one)
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fyl2x
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jecxz 4f
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fchs
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4: ret
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// |x| < 2^-34 => y = x (inexact iff |x| != 0.0)
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.align ALIGNARG(4)
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2:
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#ifdef PIC
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LOAD_PIC_REG (dx)
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#endif
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jecxz 4f
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fchs // x
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4: fld %st // x : x
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fldt MO(huge) // huge : x : x
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faddp // huge+x : x
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fstp %st(0) // x
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ret
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// |x| > 2^34 => y = sign(x) * (log(|x|) + log(2))
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.align ALIGNARG(4)
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3: fyl2x // log(|x|)
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fldln2 // log(2) : log(|x|)
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faddp // log(|x|)+log(2)
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jecxz 4f
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fchs
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4: ret
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// |x| > 2 => y = sign(x) * log(2*|x| + 1/(|x|+sqrt(x*x+1)))
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.align ALIGNARG(4)
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5: fld %st // |x| : |x| : log(2)
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fadd %st, %st(1) // |x| : 2*|x| : log(2)
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fld %st // |x| : |x| : 2*|x| : log(2)
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fmul %st(1) // |x|^2 : |x| : 2*|x| : log(2)
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faddl MO(one) // 1+|x|^2 : |x| : 2*|x| : log(2)
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fsqrt // sqrt(1+|x|^2) : |x| : 2*|x| : log(2)
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faddp // |x|+sqrt(1+|x|^2) : 2*|x| : log(2)
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fdivrl MO(one) // 1/(|x|+sqrt(1+|x|^2)) : 2*|x| : log(2)
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faddp // 2*|x|+1/(|x|+sqrt(1+|x|^2)) : log(2)
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fyl2x // log(2*|x|+1/(|x|+sqrt(1+|x|^2)))
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jecxz 4f
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fchs
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4: ret
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END(__asinhl)
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weak_alias (__asinhl, asinhl)
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