dnl Intel P6 mpn_modexact_1_odd -- exact division style remainder. dnl Copyright 2001, 2002 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 2.1 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 dnl License along with the GNU MP Library; see the file COPYING.LIB. If dnl not, write to the Free Software Foundation, Inc., 59 Temple Place - dnl Suite 330, Boston, MA 02111-1307, USA. include(`../config.m4') C odd even divisor C P6: 10.0 12.0 cycles/limb C void mpn_divexact_1 (mp_ptr dst, mp_srcptr src, mp_size_t size, C mp_limb_t divisor); C C The odd case is basically the same as mpn_modexact_1_odd, just with an C extra store, and it runs at the same 10 cycles which is the dependent C chain. C C The shifts for the even case aren't on the dependent chain so in principle C it could run the same too, but nothing running at 10 has been found. C Perhaps there's too many uops (an extra 4 over the odd case). defframe(PARAM_DIVISOR,16) defframe(PARAM_SIZE, 12) defframe(PARAM_SRC, 8) defframe(PARAM_DST, 4) defframe(SAVE_EBX, -4) defframe(SAVE_ESI, -8) defframe(SAVE_EDI, -12) defframe(SAVE_EBP, -16) defframe(VAR_INVERSE, -20) deflit(STACK_SPACE, 20) TEXT ALIGN(16) PROLOGUE(mpn_divexact_1) deflit(`FRAME',0) movl PARAM_DIVISOR, %eax subl $STACK_SPACE, %esp FRAME_subl_esp(STACK_SPACE) movl %esi, SAVE_ESI movl PARAM_SRC, %esi movl %ebx, SAVE_EBX movl PARAM_SIZE, %ebx bsfl %eax, %ecx C trailing twos movl %ebp, SAVE_EBP shrl %cl, %eax C d without twos movl %eax, %edx shrl %eax C d/2 without twos movl %edx, PARAM_DIVISOR andl $127, %eax ifdef(`PIC',` call L(movl_eip_ebp) addl $_GLOBAL_OFFSET_TABLE_, %ebp movl modlimb_invert_table@GOT(%ebp), %ebp movzbl (%eax,%ebp), %ebp C inv 8 bits ',` dnl non-PIC movzbl modlimb_invert_table(%eax), %ebp C inv 8 bits ') leal (%ebp,%ebp), %eax C 2*inv imull %ebp, %ebp C inv*inv movl %edi, SAVE_EDI movl PARAM_DST, %edi leal (%esi,%ebx,4), %esi C src end imull PARAM_DIVISOR, %ebp C inv*inv*d subl %ebp, %eax C inv = 2*inv - inv*inv*d leal (%eax,%eax), %ebp C 2*inv imull %eax, %eax C inv*inv leal (%edi,%ebx,4), %edi C dst end negl %ebx C -size movl %edi, PARAM_DST imull PARAM_DIVISOR, %eax C inv*inv*d subl %eax, %ebp C inv = 2*inv - inv*inv*d ASSERT(e,` C d*inv == 1 mod 2^BITS_PER_MP_LIMB movl PARAM_DIVISOR, %eax imull %ebp, %eax cmpl $1, %eax') movl %ebp, VAR_INVERSE movl (%esi,%ebx,4), %eax C src[0] orl %ecx, %ecx jnz L(even) C ecx initial carry is zero jmp L(odd_entry) C The dependent chain here is C C subl %edx, %eax 1 C imull %ebp, %eax 4 C mull PARAM_DIVISOR 5 C ---- C total 10 C C and this is the measured speed. No special scheduling is necessary, out C of order execution hides the load latency. L(odd_top): C eax scratch (src limb) C ebx counter, limbs, negative C ecx carry bit C edx carry limb, high of last product C esi &src[size] C edi &dst[size] C ebp mull PARAM_DIVISOR movl (%esi,%ebx,4), %eax subl %ecx, %eax sbbl %ecx, %ecx subl %edx, %eax sbbl $0, %ecx L(odd_entry): imull VAR_INVERSE, %eax movl %eax, (%edi,%ebx,4) negl %ecx incl %ebx jnz L(odd_top) movl SAVE_ESI, %esi movl SAVE_EDI, %edi movl SAVE_EBP, %ebp movl SAVE_EBX, %ebx addl $STACK_SPACE, %esp ret L(even): C eax src[0] C ebx counter, limbs, negative C ecx shift C edx C esi C edi C ebp xorl %ebp, %ebp C initial carry bit xorl %edx, %edx C initial carry limb (for size==1) incl %ebx jz L(even_one) movl (%esi,%ebx,4), %edi C src[1] shrdl( %cl, %edi, %eax) jmp L(even_entry) L(even_top): C eax scratch C ebx counter, limbs, negative C ecx shift C edx scratch C esi &src[size] C edi &dst[size] and scratch C ebp carry bit movl (%esi,%ebx,4), %edi mull PARAM_DIVISOR movl -4(%esi,%ebx,4), %eax shrdl( %cl, %edi, %eax) subl %ebp, %eax sbbl %ebp, %ebp subl %edx, %eax sbbl $0, %ebp L(even_entry): imull VAR_INVERSE, %eax movl PARAM_DST, %edi negl %ebp movl %eax, -4(%edi,%ebx,4) incl %ebx jnz L(even_top) mull PARAM_DIVISOR movl -4(%esi), %eax L(even_one): shrl %cl, %eax movl SAVE_ESI, %esi subl %ebp, %eax movl SAVE_EBP, %ebp subl %edx, %eax movl SAVE_EBX, %ebx imull VAR_INVERSE, %eax movl %eax, -4(%edi) movl SAVE_EDI, %edi addl $STACK_SPACE, %esp ret ifdef(`PIC',` L(movl_eip_ebp): movl (%esp), %ebp ret ') EPILOGUE()