dnl AMD K7 mpn_mul_basecase -- multiply two mpn numbers. dnl Copyright 1999, 2000, 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., 51 Franklin Street, dnl Fifth Floor, Boston, MA 02110-1301, USA. include(`../config.m4') C K7: approx 4.42 cycles per cross product at around 20x20 limbs (16 C limbs/loop unrolling). dnl K7 UNROLL_COUNT cycles/product (at around 20x20) dnl 8 4.67 dnl 16 4.59 dnl 32 4.42 dnl Maximum possible with the current code is 32. dnl dnl At 32 the typical 13-26 limb sizes from the karatsuba code will get dnl done with a straight run through a block of code, no inner loop. Using dnl 32 gives 1k of code, but the k7 has a 64k L1 code cache. deflit(UNROLL_COUNT, 32) C void mpn_mul_basecase (mp_ptr wp, C mp_srcptr xp, mp_size_t xsize, C mp_srcptr yp, mp_size_t ysize); C C Calculate xp,xsize multiplied by yp,ysize, storing the result in C wp,xsize+ysize. C C This routine is essentially the same as mpn/generic/mul_basecase.c, but C it's faster because it does most of the mpn_addmul_1() startup C calculations only once. The saving is 15-25% on typical sizes coming from C the Karatsuba multiply code. ifdef(`PIC',` deflit(UNROLL_THRESHOLD, 5) ',` deflit(UNROLL_THRESHOLD, 5) ') defframe(PARAM_YSIZE,20) defframe(PARAM_YP, 16) defframe(PARAM_XSIZE,12) defframe(PARAM_XP, 8) defframe(PARAM_WP, 4) TEXT ALIGN(32) PROLOGUE(mpn_mul_basecase) deflit(`FRAME',0) movl PARAM_XSIZE, %ecx movl PARAM_YP, %eax movl PARAM_XP, %edx movl (%eax), %eax C yp low limb cmpl $2, %ecx ja L(xsize_more_than_two) je L(two_by_something) C one limb by one limb mull (%edx) movl PARAM_WP, %ecx movl %eax, (%ecx) movl %edx, 4(%ecx) ret C ----------------------------------------------------------------------------- L(two_by_something): deflit(`FRAME',0) decl PARAM_YSIZE pushl %ebx defframe_pushl(`SAVE_EBX') movl %eax, %ecx C yp low limb movl PARAM_WP, %ebx pushl %esi defframe_pushl(`SAVE_ESI') movl %edx, %esi C xp movl (%edx), %eax C xp low limb jnz L(two_by_two) C two limbs by one limb mull %ecx movl %eax, (%ebx) movl 4(%esi), %eax movl %edx, %esi C carry mull %ecx addl %eax, %esi movl %esi, 4(%ebx) movl SAVE_ESI, %esi adcl $0, %edx movl %edx, 8(%ebx) movl SAVE_EBX, %ebx addl $FRAME, %esp ret C ----------------------------------------------------------------------------- C Could load yp earlier into another register. ALIGN(16) L(two_by_two): C eax xp low limb C ebx wp C ecx yp low limb C edx C esi xp C edi C ebp dnl FRAME carries on from previous mull %ecx C xp[0] * yp[0] push %edi defframe_pushl(`SAVE_EDI') movl %edx, %edi C carry, for wp[1] movl %eax, (%ebx) movl 4(%esi), %eax mull %ecx C xp[1] * yp[0] addl %eax, %edi movl PARAM_YP, %ecx adcl $0, %edx movl 4(%ecx), %ecx C yp[1] movl %edi, 4(%ebx) movl 4(%esi), %eax C xp[1] movl %edx, %edi C carry, for wp[2] mull %ecx C xp[1] * yp[1] addl %eax, %edi adcl $0, %edx movl (%esi), %eax C xp[0] movl %edx, %esi C carry, for wp[3] mull %ecx C xp[0] * yp[1] addl %eax, 4(%ebx) adcl %edx, %edi movl %edi, 8(%ebx) adcl $0, %esi movl SAVE_EDI, %edi movl %esi, 12(%ebx) movl SAVE_ESI, %esi movl SAVE_EBX, %ebx addl $FRAME, %esp ret C ----------------------------------------------------------------------------- ALIGN(16) L(xsize_more_than_two): C The first limb of yp is processed with a simple mpn_mul_1 style loop C inline. Unrolling this doesn't seem worthwhile since it's only run once C (whereas the addmul below is run ysize-1 many times). A call to the C actual mpn_mul_1 will be slowed down by the call and parameter pushing and C popping, and doesn't seem likely to be worthwhile on the typical 13-26 C limb operations the Karatsuba code calls here with. C eax yp[0] C ebx C ecx xsize C edx xp C esi C edi C ebp dnl FRAME doesn't carry on from previous, no pushes yet here defframe(`SAVE_EBX',-4) defframe(`SAVE_ESI',-8) defframe(`SAVE_EDI',-12) defframe(`SAVE_EBP',-16) deflit(`FRAME',0) subl $16, %esp deflit(`FRAME',16) movl %edi, SAVE_EDI movl PARAM_WP, %edi movl %ebx, SAVE_EBX movl %ebp, SAVE_EBP movl %eax, %ebp movl %esi, SAVE_ESI xorl %ebx, %ebx leal (%edx,%ecx,4), %esi C xp end leal (%edi,%ecx,4), %edi C wp end of mul1 negl %ecx L(mul1): C eax scratch C ebx carry C ecx counter, negative C edx scratch C esi xp end C edi wp end of mul1 C ebp multiplier movl (%esi,%ecx,4), %eax mull %ebp addl %ebx, %eax movl %eax, (%edi,%ecx,4) movl $0, %ebx adcl %edx, %ebx incl %ecx jnz L(mul1) movl PARAM_YSIZE, %edx movl PARAM_XSIZE, %ecx movl %ebx, (%edi) C final carry decl %edx jnz L(ysize_more_than_one) movl SAVE_EDI, %edi movl SAVE_EBX, %ebx movl SAVE_EBP, %ebp movl SAVE_ESI, %esi addl $FRAME, %esp ret L(ysize_more_than_one): cmpl $UNROLL_THRESHOLD, %ecx movl PARAM_YP, %eax jae L(unroll) C ----------------------------------------------------------------------------- C simple addmul looping C C eax yp C ebx C ecx xsize C edx ysize-1 C esi xp end C edi wp end of mul1 C ebp leal 4(%eax,%edx,4), %ebp C yp end negl %ecx negl %edx movl (%esi,%ecx,4), %eax C xp low limb movl %edx, PARAM_YSIZE C -(ysize-1) incl %ecx xorl %ebx, %ebx C initial carry movl %ecx, PARAM_XSIZE C -(xsize-1) movl %ebp, PARAM_YP movl (%ebp,%edx,4), %ebp C yp second lowest limb - multiplier jmp L(simple_outer_entry) C this is offset 0x121 so close enough to aligned L(simple_outer_top): C ebp ysize counter, negative movl PARAM_YP, %edx movl PARAM_XSIZE, %ecx C -(xsize-1) xorl %ebx, %ebx C carry movl %ebp, PARAM_YSIZE addl $4, %edi C next position in wp movl (%edx,%ebp,4), %ebp C yp limb - multiplier movl -4(%esi,%ecx,4), %eax C xp low limb L(simple_outer_entry): L(simple_inner): C eax xp limb C ebx carry limb C ecx loop counter (negative) C edx scratch C esi xp end C edi wp end C ebp multiplier mull %ebp addl %eax, %ebx adcl $0, %edx addl %ebx, (%edi,%ecx,4) movl (%esi,%ecx,4), %eax adcl $0, %edx incl %ecx movl %edx, %ebx jnz L(simple_inner) mull %ebp movl PARAM_YSIZE, %ebp addl %eax, %ebx adcl $0, %edx addl %ebx, (%edi) adcl $0, %edx incl %ebp movl %edx, 4(%edi) jnz L(simple_outer_top) movl SAVE_EBX, %ebx movl SAVE_ESI, %esi movl SAVE_EDI, %edi movl SAVE_EBP, %ebp addl $FRAME, %esp ret C ----------------------------------------------------------------------------- C C The unrolled loop is the same as in mpn_addmul_1(), see that code for some C comments. C C VAR_ADJUST is the negative of how many limbs the leals in the inner loop C increment xp and wp. This is used to adjust back xp and wp, and rshifted C to given an initial VAR_COUNTER at the top of the outer loop. C C VAR_COUNTER is for the unrolled loop, running from VAR_ADJUST/UNROLL_COUNT C up to -1, inclusive. C C VAR_JMP is the computed jump into the unrolled loop. C C VAR_XP_LOW is the least significant limb of xp, which is needed at the C start of the unrolled loop. C C PARAM_YSIZE is the outer loop counter, going from -(ysize-1) up to -1, C inclusive. C C PARAM_YP is offset appropriately so that the PARAM_YSIZE counter can be C added to give the location of the next limb of yp, which is the multiplier C in the unrolled loop. C C The trick with VAR_ADJUST means it's only necessary to do one fetch in the C outer loop to take care of xp, wp and the inner loop counter. defframe(VAR_COUNTER, -20) defframe(VAR_ADJUST, -24) defframe(VAR_JMP, -28) defframe(VAR_XP_LOW, -32) deflit(VAR_EXTRA_SPACE, 16) L(unroll): C eax yp C ebx C ecx xsize C edx ysize-1 C esi xp end C edi wp end of mul1 C ebp movl PARAM_XP, %esi movl 4(%eax), %ebp C multiplier (yp second limb) leal 4(%eax,%edx,4), %eax C yp adjust for ysize indexing movl PARAM_WP, %edi movl %eax, PARAM_YP negl %edx movl %edx, PARAM_YSIZE leal UNROLL_COUNT-2(%ecx), %ebx C (xsize-1)+UNROLL_COUNT-1 decl %ecx C xsize-1 movl (%esi), %eax C xp low limb andl $-UNROLL_MASK-1, %ebx negl %ecx subl $VAR_EXTRA_SPACE, %esp deflit(`FRAME',16+VAR_EXTRA_SPACE) negl %ebx andl $UNROLL_MASK, %ecx movl %ebx, VAR_ADJUST movl %ecx, %edx shll $4, %ecx sarl $UNROLL_LOG2, %ebx C 17 code bytes per limb ifdef(`PIC',` call L(pic_calc) L(unroll_here): ',` leal L(unroll_entry) (%ecx,%edx,1), %ecx ') negl %edx movl %eax, VAR_XP_LOW movl %ecx, VAR_JMP leal 4(%edi,%edx,4), %edi C wp and xp, adjust for unrolling, leal 4(%esi,%edx,4), %esi C and start at second limb jmp L(unroll_outer_entry) ifdef(`PIC',` L(pic_calc): C See mpn/x86/README about old gas bugs leal (%ecx,%edx,1), %ecx addl $L(unroll_entry)-L(unroll_here), %ecx addl (%esp), %ecx ret_internal ') C -------------------------------------------------------------------------- ALIGN(32) L(unroll_outer_top): C ebp ysize counter, negative movl VAR_ADJUST, %ebx movl PARAM_YP, %edx movl VAR_XP_LOW, %eax movl %ebp, PARAM_YSIZE C store incremented ysize counter leal 4(%edi,%ebx,4), %edi leal (%esi,%ebx,4), %esi sarl $UNROLL_LOG2, %ebx movl (%edx,%ebp,4), %ebp C yp next multiplier movl VAR_JMP, %ecx L(unroll_outer_entry): mull %ebp testb $1, %cl C and clear carry bit movl %ebx, VAR_COUNTER movl $0, %ebx movl $0, %ecx cmovz( %eax, %ecx) C eax into low carry, zero into high carry limb cmovnz( %eax, %ebx) C Extra fetch of VAR_JMP is bad, but registers are tight jmp *VAR_JMP C ----------------------------------------------------------------------------- ALIGN(32) L(unroll_top): C eax xp limb C ebx carry high C ecx carry low C edx scratch C esi xp+8 C edi wp C ebp yp multiplier limb C C VAR_COUNTER loop counter, negative C C 17 bytes each limb L(unroll_entry): deflit(CHUNK_COUNT,2) forloop(`i', 0, UNROLL_COUNT/CHUNK_COUNT-1, ` deflit(`disp0', eval(i*CHUNK_COUNT*4 ifelse(UNROLL_BYTES,256,-128))) deflit(`disp1', eval(disp0 + 4)) Zdisp( movl, disp0,(%esi), %eax) adcl %edx, %ebx mull %ebp Zdisp( addl, %ecx, disp0,(%edi)) movl $0, %ecx adcl %eax, %ebx movl disp1(%esi), %eax adcl %edx, %ecx mull %ebp addl %ebx, disp1(%edi) movl $0, %ebx adcl %eax, %ecx ') incl VAR_COUNTER leal UNROLL_BYTES(%esi), %esi leal UNROLL_BYTES(%edi), %edi jnz L(unroll_top) C eax C ebx zero C ecx low C edx high C esi C edi wp, pointing at second last limb) C ebp C C carry flag to be added to high deflit(`disp0', ifelse(UNROLL_BYTES,256,-128)) deflit(`disp1', eval(disp0-0 + 4)) movl PARAM_YSIZE, %ebp adcl $0, %edx addl %ecx, disp0(%edi) adcl $0, %edx incl %ebp movl %edx, disp1(%edi) jnz L(unroll_outer_top) movl SAVE_ESI, %esi movl SAVE_EBP, %ebp movl SAVE_EDI, %edi movl SAVE_EBX, %ebx addl $FRAME, %esp ret EPILOGUE()