| /* ix87 specific implementation of arcsinh. |
| Copyright (C) 1996, 2005 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 Lesser General Public |
| License as published by the Free Software Foundation; either |
| version 2.1 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 |
| Lesser General Public License for more details. |
| |
| You should have received a copy of the GNU Lesser General Public |
| License along with the GNU C Library; 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(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(__ieee754_acosh) |
| movl 8(%esp), %ecx |
| cmpl $0x3ff00000, %ecx |
| jl 5f // < 1 => invalid |
| fldln2 // log(2) |
| fldl 4(%esp) // x : log(2) |
| cmpl $0x41b00000, %ecx |
| ja 3f // x > 2^28 |
| #ifdef PIC |
| LOAD_PIC_REG (dx) |
| #endif |
| cmpl $0x40000000, %ecx |
| ja 4f // x > 2 |
| |
| // 1 <= x <= 2 => y = log1p(x-1+sqrt(2*(x-1)+(x-1)^2)) |
| fsubl MO(one) // x-1 : log(2) |
| fld %st // x-1 : x-1 : log(2) |
| fmul %st(1) // (x-1)^2 : x-1 : log(2) |
| fadd %st(1) // x-1+(x-1)^2 : x-1 : log(2) |
| fadd %st(1) // 2*(x-1)+(x-1)^2 : x-1 : log(2) |
| fsqrt // sqrt(2*(x-1)+(x-1)^2) : x-1 : log(2) |
| faddp // x-1+sqrt(2*(x-1)+(x-1)^2) : log(2) |
| fcoml MO(limit) |
| fnstsw |
| sahf |
| ja 2f |
| fyl2xp1 // log1p(x-1+sqrt(2*(x-1)+(x-1)^2)) |
| ret |
| |
| 2: faddl MO(one) // x+sqrt(2*(x-1)+(x-1)^2) : log(2) |
| fyl2x // log(x+sqrt(2*(x-1)+(x-1)^2)) |
| ret |
| |
| // x > 2^28 => y = log(x) + log(2) |
| .align ALIGNARG(4) |
| 3: fyl2x // log(x) |
| fldln2 // log(2) : log(x) |
| faddp // log(x)+log(2) |
| ret |
| |
| // 2^28 > x > 2 => y = log(2*x - 1/(x+sqrt(x*x-1))) |
| .align ALIGNARG(4) |
| 4: 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) |
| fsubl MO(one) // x^2-1 : x : 2*x : log(2) |
| fsqrt // sqrt(x^2-1) : x : 2*x : log(2) |
| faddp // x+sqrt(x^2-1) : 2*x : log(2) |
| fdivrl MO(one) // 1/(x+sqrt(x^2-1)) : 2*x : log(2) |
| fsubrp // 2*x+1/(x+sqrt(x^2)-1) : log(2) |
| fyl2x // log(2*x+1/(x+sqrt(x^2-1))) |
| ret |
| |
| // x < 1 => NaN |
| .align ALIGNARG(4) |
| 5: fldz |
| fdiv %st, %st(0) |
| ret |
| END(__ieee754_acosh) |
