dnl AMD K6 mpn_divexact_1 -- mpn by limb exact division. dnl Copyright 2000, 2001, 2002, 2007 Free Software Foundation, Inc. dnl dnl This file is part of the GNU MP Library. dnl dnl The GNU MP Library is free software; you can redistribute it and/or dnl modify it under the terms of the GNU Lesser General Public License as dnl published by the Free Software Foundation; either version 3 of the dnl License, or (at your option) any later version. dnl dnl The GNU MP Library is distributed in the hope that it will be useful, dnl but WITHOUT ANY WARRANTY; without even the implied warranty of dnl MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU dnl Lesser General Public License for more details. dnl dnl You should have received a copy of the GNU Lesser General Public License dnl along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. include(`../config.m4') C divisor C odd even C K6: 10.0 12.0 cycles/limb C K6-2: 10.0 11.5 C void mpn_divexact_1 (mp_ptr dst, mp_srcptr src, mp_size_t size, C mp_limb_t divisor); C C A simple divl is used for size==1. This is about 10 cycles faster for an C odd divisor or 20 cycles for an even divisor. C C The loops are quite sensitive to code alignment, speeds should be C rechecked (odd and even divisor, pic and non-pic) if contemplating C changing anything. defframe(PARAM_DIVISOR,16) defframe(PARAM_SIZE, 12) defframe(PARAM_SRC, 8) defframe(PARAM_DST, 4) dnl re-use parameter space define(VAR_INVERSE,`PARAM_DST') TEXT ALIGN(32) PROLOGUE(mpn_divexact_1) deflit(`FRAME',0) movl PARAM_SIZE, %ecx movl PARAM_SRC, %eax xorl %edx, %edx cmpl $1, %ecx jnz L(two_or_more) movl (%eax), %eax divl PARAM_DIVISOR movl PARAM_DST, %ecx movl %eax, (%ecx) ret L(two_or_more): movl PARAM_DIVISOR, %eax pushl %ebx FRAME_pushl() movl PARAM_SRC, %ebx pushl %ebp FRAME_pushl() L(strip_twos): shrl %eax incl %edx C will get shift+1 jnc L(strip_twos) pushl %esi FRAME_pushl() leal 1(%eax,%eax), %esi C d without twos andl $127, %eax C d/2, 7 bits ifdef(`PIC',` LEA( binvert_limb_table, %ebp) Zdisp( movzbl, 0,(%eax,%ebp), %eax) ',` movzbl binvert_limb_table(%eax), %eax C inv 8 bits ') pushl %edi FRAME_pushl() leal (%eax,%eax), %ebp C 2*inv imull %eax, %eax C inv*inv movl PARAM_DST, %edi imull %esi, %eax C inv*inv*d subl %eax, %ebp C inv = 2*inv - inv*inv*d leal (%ebp,%ebp), %eax C 2*inv imull %ebp, %ebp C inv*inv movl %esi, PARAM_DIVISOR C d without twos leal (%ebx,%ecx,4), %ebx C src end imull %esi, %ebp C inv*inv*d leal (%edi,%ecx,4), %edi C dst end negl %ecx C -size subl %ebp, %eax C inv = 2*inv - inv*inv*d subl $1, %edx C shift amount, and clear carry ASSERT(e,` C expect d*inv == 1 mod 2^BITS_PER_MP_LIMB pushl %eax FRAME_pushl() imull PARAM_DIVISOR, %eax cmpl $1, %eax popl %eax FRAME_popl()') movl %eax, VAR_INVERSE jnz L(even) movl (%ebx,%ecx,4), %esi C src low limb jmp L(odd_entry) ALIGN(16) nop C code alignment L(odd_top): C eax scratch C ebx src end C ecx counter, limbs, negative C edx inverse C esi next limb, adjusted for carry C edi dst end C ebp carry bit, 0 or -1 imull %edx, %esi movl PARAM_DIVISOR, %eax movl %esi, -4(%edi,%ecx,4) mull %esi C carry limb in edx subl %ebp, %edx C apply carry bit movl (%ebx,%ecx,4), %esi L(odd_entry): subl %edx, %esi C apply carry limb movl VAR_INVERSE, %edx sbbl %ebp, %ebp C 0 or -1 incl %ecx jnz L(odd_top) imull %edx, %esi movl %esi, -4(%edi,%ecx,4) popl %edi popl %esi popl %ebp popl %ebx ret L(even): C eax C ebx src end C ecx -size C edx twos C esi C edi dst end C ebp xorl %ebp, %ebp Zdisp( movq, 0,(%ebx,%ecx,4), %mm0) C src[0,1] movd %edx, %mm7 movl VAR_INVERSE, %edx addl $2, %ecx psrlq %mm7, %mm0 movd %mm0, %esi jz L(even_two) C if only two limbs C Out-of-order execution is good enough to hide the load/rshift/movd C latency. Having imul at the top of the loop gives 11.5 c/l instead of 12, C on K6-2. In fact there's only 11 of decode, but nothing running at 11 has C been found. Maybe the fact every second movq is unaligned costs the extra C 0.5. L(even_top): C eax scratch C ebx src end C ecx counter, limbs, negative C edx inverse C esi next limb, adjusted for carry C edi dst end C ebp carry bit, 0 or -1 C C mm0 scratch, source limbs C mm7 twos imull %edx, %esi movl %esi, -8(%edi,%ecx,4) movl PARAM_DIVISOR, %eax mull %esi C carry limb in edx movq -4(%ebx,%ecx,4), %mm0 psrlq %mm7, %mm0 movd %mm0, %esi subl %ebp, %edx C apply carry bit subl %edx, %esi C apply carry limb movl VAR_INVERSE, %edx sbbl %ebp, %ebp C 0 or -1 incl %ecx jnz L(even_top) L(even_two): movd -4(%ebx), %mm0 C src high limb psrlq %mm7, %mm0 imull %edx, %esi movl %esi, -8(%edi) movl PARAM_DIVISOR, %eax mull %esi C carry limb in edx movd %mm0, %esi subl %ebp, %edx C apply carry bit movl VAR_INVERSE, %eax subl %edx, %esi C apply carry limb imull %eax, %esi movl %esi, -4(%edi) popl %edi popl %esi popl %ebp popl %ebx emms_or_femms ret EPILOGUE()