dnl Intel Pentium mpn_divexact_1 -- mpn by limb exact division. dnl Rearranged from mpn/x86/pentium/dive_1.asm by Marco Bodrato. dnl Copyright 2001, 2002, 2011, 2014 Free Software Foundation, Inc. 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 modify dnl it under the terms of either: dnl dnl * the GNU Lesser General Public License as published by the Free dnl Software Foundation; either version 3 of the License, or (at your dnl option) any later version. dnl dnl or dnl dnl * the GNU General Public License as published by the Free Software dnl Foundation; either version 2 of the License, or (at your option) any dnl later version. dnl dnl or both in parallel, as here. dnl dnl The GNU MP Library is distributed in the hope that it will be useful, but dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License dnl for more details. dnl dnl You should have received copies of the GNU General Public License and the dnl GNU Lesser General Public License along with the GNU MP Library. If not, dnl see https://www.gnu.org/licenses/. include(`../config.m4') C divisor C odd even C P54: 24.5 30.5 cycles/limb C P55: 23.0 28.0 MULFUNC_PROLOGUE(mpn_bdiv_q_1 mpn_pi1_bdiv_q_1) C The P55 speeds noted above, 23 cycles odd or 28 cycles even, are as C expected. On P54 in the even case the shrdl pairing nonsense (see C mpn/x86/pentium/README) costs 1 cycle, but it's not clear why there's a C further 1.5 slowdown for both odd and even. defframe(PARAM_SHIFT, 24) defframe(PARAM_INVERSE,20) 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) C mp_limb_t mpn_bdiv_q_1 (mp_ptr dst, mp_srcptr src, mp_size_t size, C mp_limb_t divisor); C PROLOGUE(mpn_bdiv_q_1) deflit(`FRAME',0) movl $-1, %ecx movl PARAM_DIVISOR, %eax L(strip_twos): ASSERT(nz, `orl %eax, %eax') shrl %eax incl %ecx C shift count jnc L(strip_twos) leal 1(%eax,%eax), %edx C d andl $127, %eax C d/2, 7 bits pushl %ebx FRAME_pushl() pushl %ebp FRAME_pushl() ifdef(`PIC',` ifdef(`DARWIN',` LEA( binvert_limb_table, %ebp) movzbl (%eax,%ebp), %eax ',` call L(here) L(here): popl %ebp C eip addl $_GLOBAL_OFFSET_TABLE_+[.-L(here)], %ebp C AGI movl binvert_limb_table@GOT(%ebp), %ebp C AGI movzbl (%eax,%ebp), %eax ') ',` dnl non-PIC movzbl binvert_limb_table(%eax), %eax C inv 8 bits ') movl %eax, %ebp C inv addl %eax, %eax C 2*inv imull %ebp, %ebp C inv*inv imull %edx, %ebp C inv*inv*d subl %ebp, %eax C inv = 2*inv - inv*inv*d movl PARAM_SIZE, %ebx movl %eax, %ebp addl %eax, %eax C 2*inv imull %ebp, %ebp C inv*inv imull %edx, %ebp C inv*inv*d subl %ebp, %eax C inv = 2*inv - inv*inv*d movl %edx, PARAM_DIVISOR C d without twos ASSERT(e,` C expect d*inv == 1 mod 2^GMP_LIMB_BITS pushl %eax FRAME_pushl() imull PARAM_DIVISOR, %eax cmpl $1, %eax popl %eax FRAME_popl()') jmp L(common) EPILOGUE() C mp_limb_t C mpn_pi1_bdiv_q_1 (mp_ptr dst, mp_srcptr src, mp_size_t size, mp_limb_t divisor, C mp_limb_t inverse, int shift) ALIGN(32) PROLOGUE(mpn_pi1_bdiv_q_1) deflit(`FRAME',0) movl PARAM_SHIFT, %ecx pushl %ebx FRAME_pushl() pushl %ebp FRAME_pushl() movl PARAM_SIZE, %ebx movl PARAM_INVERSE, %eax L(common): pushl %esi FRAME_pushl() push %edi FRAME_pushl() movl PARAM_SRC, %esi movl PARAM_DST, %edi movl %eax, VAR_INVERSE leal (%esi,%ebx,4), %esi C src end leal (%edi,%ebx,4), %edi C dst end negl %ebx C -size xorl %ebp, %ebp C initial carry bit orl %ecx, %ecx C shift movl (%esi,%ebx,4), %eax C src low limb jz L(odd_entry) xorl %edx, %edx C initial carry limb (for even, if one) incl %ebx jz L(one) movl (%esi,%ebx,4), %edx C src second limb (for even) shrdl( %cl, %edx, %eax) jmp L(even_entry) ALIGN(8) L(odd_top): C eax scratch C ebx counter, limbs, negative C ecx C edx C esi src end C edi dst end C ebp carry bit, 0 or -1 mull PARAM_DIVISOR movl (%esi,%ebx,4), %eax subl %ebp, %edx subl %edx, %eax sbbl %ebp, %ebp L(odd_entry): imull VAR_INVERSE, %eax movl %eax, (%edi,%ebx,4) incl %ebx jnz L(odd_top) popl %edi popl %esi popl %ebp popl %ebx ret L(even_top): C eax scratch C ebx counter, limbs, negative C ecx twos C edx C esi src end C edi dst end C ebp carry bit, 0 or -1 mull PARAM_DIVISOR subl %ebp, %edx C carry bit movl -4(%esi,%ebx,4), %eax C src limb movl (%esi,%ebx,4), %ebp C and one above it shrdl( %cl, %ebp, %eax) subl %edx, %eax C carry limb sbbl %ebp, %ebp L(even_entry): imull VAR_INVERSE, %eax movl %eax, -4(%edi,%ebx,4) incl %ebx jnz L(even_top) mull PARAM_DIVISOR movl -4(%esi), %eax C src high limb subl %ebp, %edx L(one): shrl %cl, %eax subl %edx, %eax C no carry if division is exact imull VAR_INVERSE, %eax movl %eax, -4(%edi) C dst high limb nop C protect against cache bank clash popl %edi popl %esi popl %ebp popl %ebx ret EPILOGUE() ASM_END()