dnl AMD K6 mpn_divrem_1 -- mpn by limb division. dnl Copyright 1999-2003, 2007 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 K6: 20 cycles/limb C mp_limb_t mpn_divrem_1 (mp_ptr dst, mp_size_t xsize, C mp_srcptr src, mp_size_t size, mp_limb_t divisor); C mp_limb_t mpn_divrem_1c (mp_ptr dst, mp_size_t xsize, C mp_srcptr src, mp_size_t size, mp_limb_t divisor, C mp_limb_t carry); C C The code here is basically the same as mpn/x86/divrem_1.asm, but uses loop C instead of decl+jnz, since it comes out 2 cycles/limb faster. C C A test is done to see if the high limb is less than the divisor, and if so C one less div is done. A div is 20 cycles, so assuming high<divisor about C half the time, then this test saves half that amount. The branch C misprediction penalty is less than that. C C Back-to-back div instructions run at 20 cycles, the same as the loop here, C so it seems there's nothing to gain by rearranging the loop. Pairing the C mov and loop instructions was found to gain nothing. C C Enhancements: C C The low-latency K6 multiply might be thought to suit a mul-by-inverse, but C that algorithm has been found to suffer from the relatively poor carry C handling on K6 and too many auxiliary instructions. The fractional part C however could be done at about 13 c/l, if it mattered enough. defframe(PARAM_CARRY, 24) defframe(PARAM_DIVISOR,20) defframe(PARAM_SIZE, 16) defframe(PARAM_SRC, 12) defframe(PARAM_XSIZE, 8) defframe(PARAM_DST, 4) TEXT ALIGN(32) PROLOGUE(mpn_divrem_1c) deflit(`FRAME',0) movl PARAM_SIZE, %ecx pushl %edi FRAME_pushl() movl PARAM_SRC, %edi pushl %esi FRAME_pushl() movl PARAM_DIVISOR, %esi pushl %ebx FRAME_pushl() movl PARAM_DST, %ebx pushl %ebp FRAME_pushl() movl PARAM_XSIZE, %ebp orl %ecx, %ecx C size movl PARAM_CARRY, %edx jz L(fraction) C if size==0 leal -4(%ebx,%ebp,4), %ebx C dst one limb below integer part jmp L(integer_top) EPILOGUE() ALIGN(16) PROLOGUE(mpn_divrem_1) deflit(`FRAME',0) movl PARAM_SIZE, %ecx pushl %edi FRAME_pushl() movl PARAM_SRC, %edi pushl %esi FRAME_pushl() movl PARAM_DIVISOR, %esi orl %ecx,%ecx C size jz L(size_zero) pushl %ebx FRAME_pushl() movl -4(%edi,%ecx,4), %eax C src high limb xorl %edx, %edx movl PARAM_DST, %ebx pushl %ebp FRAME_pushl() movl PARAM_XSIZE, %ebp cmpl %esi, %eax leal -4(%ebx,%ebp,4), %ebx C dst one limb below integer part jae L(integer_entry) C high<divisor, so high of dst is zero, and avoid one div movl %edx, (%ebx,%ecx,4) decl %ecx movl %eax, %edx jz L(fraction) L(integer_top): C eax scratch (quotient) C ebx dst+4*xsize-4 C ecx counter C edx scratch (remainder) C esi divisor C edi src C ebp xsize movl -4(%edi,%ecx,4), %eax L(integer_entry): divl %esi movl %eax, (%ebx,%ecx,4) loop L(integer_top) L(fraction): orl %ebp, %ecx jz L(done) movl PARAM_DST, %ebx L(fraction_top): C eax scratch (quotient) C ebx dst C ecx counter C edx scratch (remainder) C esi divisor C edi C ebp xorl %eax, %eax divl %esi movl %eax, -4(%ebx,%ecx,4) loop L(fraction_top) L(done): popl %ebp movl %edx, %eax popl %ebx popl %esi popl %edi ret L(size_zero): deflit(`FRAME',8) movl PARAM_XSIZE, %ecx xorl %eax, %eax movl PARAM_DST, %edi cld C better safe than sorry, see mpn/x86/README rep stosl popl %esi popl %edi ret EPILOGUE()