2020-06-16 13:38:43 +00:00
|
|
|
|
/*-*- mode:unix-assembly; indent-tabs-mode:t; tab-width:8; coding:utf-8 -*-│
|
2020-06-15 14:18:57 +00:00
|
|
|
|
│vi: set et ft=asm ts=8 sw=8 fenc=utf-8 :vi│
|
|
|
|
|
╞══════════════════════════════════════════════════════════════════════════════╡
|
|
|
|
|
│ Copyright 2020 Justine Alexandra Roberts Tunney │
|
|
|
|
|
│ │
|
2020-12-28 01:18:44 +00:00
|
|
|
|
│ Permission to use, copy, modify, and/or distribute this software for │
|
|
|
|
|
│ any purpose with or without fee is hereby granted, provided that the │
|
|
|
|
|
│ above copyright notice and this permission notice appear in all copies. │
|
2020-06-15 14:18:57 +00:00
|
|
|
|
│ │
|
2020-12-28 01:18:44 +00:00
|
|
|
|
│ THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL │
|
|
|
|
|
│ WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED │
|
|
|
|
|
│ WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE │
|
|
|
|
|
│ AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL │
|
|
|
|
|
│ DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR │
|
|
|
|
|
│ PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER │
|
|
|
|
|
│ TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR │
|
|
|
|
|
│ PERFORMANCE OF THIS SOFTWARE. │
|
2020-06-15 14:18:57 +00:00
|
|
|
|
╚─────────────────────────────────────────────────────────────────────────────*/
|
2021-03-01 07:42:35 +00:00
|
|
|
|
#include "libc/macros.internal.h"
|
2020-06-15 14:18:57 +00:00
|
|
|
|
|
2021-02-08 17:19:00 +00:00
|
|
|
|
// Fast log₁₀ when 𝑥 is an integer.
|
|
|
|
|
//
|
|
|
|
|
// @param rdi is uint64 𝑥
|
|
|
|
|
// @domain 0<𝑥<2⁶⁴ ∧ 𝑥∊ℤ
|
2020-06-15 14:18:57 +00:00
|
|
|
|
llog10: .leafprologue
|
|
|
|
|
.profilable
|
|
|
|
|
bsr %rdi,%rax
|
|
|
|
|
jz 3f
|
|
|
|
|
lea llog10data(%rip),%rdx
|
|
|
|
|
movsbl 1(%rdx,%rax),%eax
|
|
|
|
|
cmp 2f-1f(%rdx,%rax,8),%rdi
|
|
|
|
|
sbb $0,%al
|
|
|
|
|
jmp 4f
|
|
|
|
|
3: xor %eax,%eax # domain error
|
|
|
|
|
4: .leafepilogue
|
|
|
|
|
.endfn llog10,globl
|
|
|
|
|
|
|
|
|
|
.rodata
|
|
|
|
|
llog10data:
|
|
|
|
|
1: .byte 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4
|
|
|
|
|
.byte 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9
|
|
|
|
|
.byte 9, 9,10,10,10,11,11,11,12,12,12,12,13,13,13,14
|
|
|
|
|
.byte 14,14,15,15,15,15,16,16,16,17,17,17,18,18,18,18
|
|
|
|
|
.byte 19,19,19
|
|
|
|
|
.align 8
|
|
|
|
|
2: .quad 0
|
|
|
|
|
.quad 10
|
|
|
|
|
.quad 100
|
|
|
|
|
.quad 1000
|
|
|
|
|
.quad 10000
|
|
|
|
|
.quad 100000
|
|
|
|
|
.quad 1000000
|
|
|
|
|
.quad 10000000
|
|
|
|
|
.quad 100000000
|
|
|
|
|
.quad 1000000000
|
|
|
|
|
.quad 10000000000
|
|
|
|
|
.quad 100000000000
|
|
|
|
|
.quad 1000000000000
|
|
|
|
|
.quad 10000000000000
|
|
|
|
|
.quad 100000000000000
|
|
|
|
|
.quad 1000000000000000
|
|
|
|
|
.quad 10000000000000000
|
|
|
|
|
.quad 100000000000000000
|
|
|
|
|
.endobj llog10data
|
|
|
|
|
.previous
|
2020-06-16 02:01:28 +00:00
|
|
|
|
.source __FILE__
|