projects / thirdparty / glibc.git / blame
| Commit | Line | Data |
|---|---|---|
| d38cd08c | 1 | /* ix87 specific implementation of arcsinh. |
| a334319f | 2 | Copyright (C) 1996 Free Software Foundation, Inc. |
| d38cd08c UD |
3 | This file is part of the GNU C Library. |
| 4 | Contributed by Ulrich Drepper <drepper@cygnus.com>, 1996. | |
| 5 | ||
| 6 | The GNU C Library is free software; you can redistribute it and/or | |
| 41bdb6e2 AJ |
7 | modify it under the terms of the GNU Lesser General Public |
| 8 | License as published by the Free Software Foundation; either | |
| 9 | version 2.1 of the License, or (at your option) any later version. | |
| d38cd08c UD |
10 | |
| 11 | The GNU C Library is distributed in the hope that it will be useful, | |
| 12 | but WITHOUT ANY WARRANTY; without even the implied warranty of | |
| 13 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
| 41bdb6e2 | 14 | Lesser General Public License for more details. |
| d38cd08c | 15 | |
| 41bdb6e2 AJ |
16 | You should have received a copy of the GNU Lesser General Public |
| 17 | License along with the GNU C Library; if not, write to the Free | |
| 18 | Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA | |
| 19 | 02111-1307 USA. */ | |
| d38cd08c UD |
20 | |
| 21 | #include <machine/asm.h> | |
| 22 | ||
| 23 | #ifdef __ELF__ | |
| 24 | .section .rodata | |
| 25 | #else | |
| 26 | .text | |
| 27 | #endif | |
| 28 | ||
| 29 | .align ALIGNARG(4) | |
| 30 | ASM_TYPE_DIRECTIVE(one,@object) | |
| 31 | one: .double 1.0 | |
| 32 | ASM_SIZE_DIRECTIVE(one) | |
| 33 | ASM_TYPE_DIRECTIVE(limit,@object) | |
| 34 | limit: .double 0.29 | |
| 35 | ASM_SIZE_DIRECTIVE(limit) | |
| 36 | ||
| 37 | #ifdef PIC | |
| 38 | #define MO(op) op##@GOTOFF(%edx) | |
| 39 | #else | |
| 40 | #define MO(op) op | |
| 41 | #endif | |
| 42 | ||
| 43 | .text | |
| 44 | ENTRY(__ieee754_acosh) | |
| 45 | movl 8(%esp), %ecx | |
| 46 | cmpl $0x3ff00000, %ecx | |
| 47 | jl 5f // < 1 => invalid | |
| 48 | fldln2 // log(2) | |
| 49 | fldl 4(%esp) // x : log(2) | |
| 50 | cmpl $0x41b00000, %ecx | |
| 51 | ja 3f // x > 2^28 | |
| 52 | #ifdef PIC | |
| a334319f UD |
53 | call 1f |
| 54 | 1: popl %edx | |
| 55 | addl $_GLOBAL_OFFSET_TABLE_+[.-1b], %edx | |
| d38cd08c UD |
56 | #endif |
| 57 | cmpl $0x40000000, %ecx | |
| 58 | ja 4f // x > 2 | |
| 59 | ||
| 60 | // 1 <= x <= 2 => y = log1p(x-1+sqrt(2*(x-1)+(x-1)^2)) | |
| 61 | fsubl MO(one) // x-1 : log(2) | |
| 62 | fld %st // x-1 : x-1 : log(2) | |
| 63 | fmul %st(1) // (x-1)^2 : x-1 : log(2) | |
| 64 | fadd %st(1) // x-1+(x-1)^2 : x-1 : log(2) | |
| 65 | fadd %st(1) // 2*(x-1)+(x-1)^2 : x-1 : log(2) | |
| 66 | fsqrt // sqrt(2*(x-1)+(x-1)^2) : x-1 : log(2) | |
| 67 | faddp // x-1+sqrt(2*(x-1)+(x-1)^2) : log(2) | |
| 68 | fcoml MO(limit) | |
| 69 | fnstsw | |
| 70 | sahf | |
| 71 | ja 2f | |
| 72 | fyl2xp1 // log1p(x-1+sqrt(2*(x-1)+(x-1)^2)) | |
| 73 | ret | |
| 74 | ||
| 75 | 2: faddl MO(one) // x+sqrt(2*(x-1)+(x-1)^2) : log(2) | |
| 76 | fyl2x // log(x+sqrt(2*(x-1)+(x-1)^2)) | |
| 77 | ret | |
| 78 | ||
| 79 | // x > 2^28 => y = log(x) + log(2) | |
| 80 | .align ALIGNARG(4) | |
| 81 | 3: fyl2x // log(x) | |
| 82 | fldln2 // log(2) : log(x) | |
| 83 | faddp // log(x)+log(2) | |
| 84 | ret | |
| 85 | ||
| 86 | // 2^28 > x > 2 => y = log(2*x - 1/(x+sqrt(x*x-1))) | |
| 87 | .align ALIGNARG(4) | |
| 88 | 4: fld %st // x : x : log(2) | |
| 89 | fadd %st, %st(1) // x : 2*x : log(2) | |
| 90 | fld %st // x : x : 2*x : log(2) | |
| 91 | fmul %st(1) // x^2 : x : 2*x : log(2) | |
| 92 | fsubl MO(one) // x^2-1 : x : 2*x : log(2) | |
| 93 | fsqrt // sqrt(x^2-1) : x : 2*x : log(2) | |
| 94 | faddp // x+sqrt(x^2-1) : 2*x : log(2) | |
| 95 | fdivrl MO(one) // 1/(x+sqrt(x^2-1)) : 2*x : log(2) | |
| 96 | fsubrp // 2*x+1/(x+sqrt(x^2)-1) : log(2) | |
| 97 | fyl2x // log(2*x+1/(x+sqrt(x^2-1))) | |
| 98 | ret | |
| 99 | ||
| 100 | // x < 1 => NaN | |
| 101 | .align ALIGNARG(4) | |
| 102 | 5: fldz | |
| 103 | fdiv %st, %st(0) | |
| 104 | ret | |
| 105 | END(__ieee754_acosh) |