X-Git-Url: https://oss.titaniummirror.com/gitweb?a=blobdiff_plain;f=gmp%2Fmpn%2Fx86%2Fp6%2Fsqr_basecase.asm;fp=gmp%2Fmpn%2Fx86%2Fp6%2Fsqr_basecase.asm;h=05a31f1a154358cdf8fa4abb8fd6610c368a7d1c;hb=6fed43773c9b0ce596dca5686f37ac3fc0fa11c0;hp=0000000000000000000000000000000000000000;hpb=27b11d56b743098deb193d510b337ba22dc52e5c;p=msp430-gcc.git diff --git a/gmp/mpn/x86/p6/sqr_basecase.asm b/gmp/mpn/x86/p6/sqr_basecase.asm new file mode 100644 index 00000000..05a31f1a --- /dev/null +++ b/gmp/mpn/x86/p6/sqr_basecase.asm @@ -0,0 +1,638 @@ +dnl Intel P6 mpn_sqr_basecase -- square an mpn number. + +dnl Copyright 1999, 2000, 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 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 P6: approx 4.0 cycles per cross product, or 7.75 cycles per triangular +C product (measured on the speed difference between 20 and 40 limbs, +C which is the Karatsuba recursing range). + + +dnl These are the same as in mpn/x86/k6/sqr_basecase.asm, see that file for +dnl a description. The only difference here is that UNROLL_COUNT can go up +dnl to 64 (not 63) making SQR_KARATSUBA_THRESHOLD_MAX 67. + +deflit(SQR_KARATSUBA_THRESHOLD_MAX, 67) + +ifdef(`SQR_KARATSUBA_THRESHOLD_OVERRIDE', +`define(`SQR_KARATSUBA_THRESHOLD',SQR_KARATSUBA_THRESHOLD_OVERRIDE)') + +m4_config_gmp_mparam(`SQR_KARATSUBA_THRESHOLD') +deflit(UNROLL_COUNT, eval(SQR_KARATSUBA_THRESHOLD-3)) + + +C void mpn_sqr_basecase (mp_ptr dst, mp_srcptr src, mp_size_t size); +C +C The algorithm is basically the same as mpn/generic/sqr_basecase.c, but a +C lot of function call overheads are avoided, especially when the given size +C is small. +C +C The code size might look a bit excessive, but not all of it is executed so +C it won't all get into the code cache. The 1x1, 2x2 and 3x3 special cases +C clearly apply only to those sizes; mid sizes like 10x10 only need part of +C the unrolled addmul; and big sizes like 40x40 that do use the full +C unrolling will least be making good use of it, because 40x40 will take +C something like 7000 cycles. + +defframe(PARAM_SIZE,12) +defframe(PARAM_SRC, 8) +defframe(PARAM_DST, 4) + + TEXT + ALIGN(32) +PROLOGUE(mpn_sqr_basecase) +deflit(`FRAME',0) + + movl PARAM_SIZE, %edx + + movl PARAM_SRC, %eax + + cmpl $2, %edx + movl PARAM_DST, %ecx + je L(two_limbs) + + movl (%eax), %eax + ja L(three_or_more) + + +C ----------------------------------------------------------------------------- +C one limb only + C eax src limb + C ebx + C ecx dst + C edx + + mull %eax + + movl %eax, (%ecx) + movl %edx, 4(%ecx) + + ret + + +C ----------------------------------------------------------------------------- +L(two_limbs): + C eax src + C ebx + C ecx dst + C edx + +defframe(SAVE_ESI, -4) +defframe(SAVE_EBX, -8) +defframe(SAVE_EDI, -12) +defframe(SAVE_EBP, -16) +deflit(`STACK_SPACE',16) + + subl $STACK_SPACE, %esp +deflit(`FRAME',STACK_SPACE) + + movl %esi, SAVE_ESI + movl %eax, %esi + movl (%eax), %eax + + mull %eax C src[0]^2 + + movl %eax, (%ecx) C dst[0] + movl 4(%esi), %eax + + movl %ebx, SAVE_EBX + movl %edx, %ebx C dst[1] + + mull %eax C src[1]^2 + + movl %edi, SAVE_EDI + movl %eax, %edi C dst[2] + movl (%esi), %eax + + movl %ebp, SAVE_EBP + movl %edx, %ebp C dst[3] + + mull 4(%esi) C src[0]*src[1] + + addl %eax, %ebx + movl SAVE_ESI, %esi + + adcl %edx, %edi + + adcl $0, %ebp + addl %ebx, %eax + movl SAVE_EBX, %ebx + + adcl %edi, %edx + movl SAVE_EDI, %edi + + adcl $0, %ebp + + movl %eax, 4(%ecx) + + movl %ebp, 12(%ecx) + movl SAVE_EBP, %ebp + + movl %edx, 8(%ecx) + addl $FRAME, %esp + + ret + + +C ----------------------------------------------------------------------------- +L(three_or_more): + C eax src low limb + C ebx + C ecx dst + C edx size +deflit(`FRAME',0) + + pushl %esi defframe_pushl(`SAVE_ESI') + cmpl $4, %edx + + movl PARAM_SRC, %esi + jae L(four_or_more) + + +C ----------------------------------------------------------------------------- +C three limbs + + C eax src low limb + C ebx + C ecx dst + C edx + C esi src + C edi + C ebp + + pushl %ebp defframe_pushl(`SAVE_EBP') + pushl %edi defframe_pushl(`SAVE_EDI') + + mull %eax C src[0] ^ 2 + + movl %eax, (%ecx) + movl %edx, 4(%ecx) + + movl 4(%esi), %eax + xorl %ebp, %ebp + + mull %eax C src[1] ^ 2 + + movl %eax, 8(%ecx) + movl %edx, 12(%ecx) + movl 8(%esi), %eax + + pushl %ebx defframe_pushl(`SAVE_EBX') + + mull %eax C src[2] ^ 2 + + movl %eax, 16(%ecx) + movl %edx, 20(%ecx) + + movl (%esi), %eax + + mull 4(%esi) C src[0] * src[1] + + movl %eax, %ebx + movl %edx, %edi + + movl (%esi), %eax + + mull 8(%esi) C src[0] * src[2] + + addl %eax, %edi + movl %edx, %ebp + + adcl $0, %ebp + movl 4(%esi), %eax + + mull 8(%esi) C src[1] * src[2] + + xorl %esi, %esi + addl %eax, %ebp + + C eax + C ebx dst[1] + C ecx dst + C edx dst[4] + C esi zero, will be dst[5] + C edi dst[2] + C ebp dst[3] + + adcl $0, %edx + addl %ebx, %ebx + + adcl %edi, %edi + + adcl %ebp, %ebp + + adcl %edx, %edx + movl 4(%ecx), %eax + + adcl $0, %esi + addl %ebx, %eax + + movl %eax, 4(%ecx) + movl 8(%ecx), %eax + + adcl %edi, %eax + movl 12(%ecx), %ebx + + adcl %ebp, %ebx + movl 16(%ecx), %edi + + movl %eax, 8(%ecx) + movl SAVE_EBP, %ebp + + movl %ebx, 12(%ecx) + movl SAVE_EBX, %ebx + + adcl %edx, %edi + movl 20(%ecx), %eax + + movl %edi, 16(%ecx) + movl SAVE_EDI, %edi + + adcl %esi, %eax C no carry out of this + movl SAVE_ESI, %esi + + movl %eax, 20(%ecx) + addl $FRAME, %esp + + ret + + + +C ----------------------------------------------------------------------------- +defframe(VAR_COUNTER,-20) +defframe(VAR_JMP, -24) +deflit(`STACK_SPACE',24) + +L(four_or_more): + C eax src low limb + C ebx + C ecx + C edx size + C esi src + C edi + C ebp +deflit(`FRAME',4) dnl %esi already pushed + +C First multiply src[0]*src[1..size-1] and store at dst[1..size]. + + subl $STACK_SPACE-FRAME, %esp +deflit(`FRAME',STACK_SPACE) + movl $1, %ecx + + movl %edi, SAVE_EDI + movl PARAM_DST, %edi + + movl %ebx, SAVE_EBX + subl %edx, %ecx C -(size-1) + + movl %ebp, SAVE_EBP + movl $0, %ebx C initial carry + + leal (%esi,%edx,4), %esi C &src[size] + movl %eax, %ebp C multiplier + + leal -4(%edi,%edx,4), %edi C &dst[size-1] + + +C This loop runs at just over 6 c/l. + +L(mul_1): + C eax scratch + C ebx carry + C ecx counter, limbs, negative, -(size-1) to -1 + C edx scratch + C esi &src[size] + C edi &dst[size-1] + C ebp multiplier + + movl %ebp, %eax + + mull (%esi,%ecx,4) + + addl %ebx, %eax + movl $0, %ebx + + adcl %edx, %ebx + movl %eax, 4(%edi,%ecx,4) + + incl %ecx + jnz L(mul_1) + + + movl %ebx, 4(%edi) + + +C Addmul src[n]*src[n+1..size-1] at dst[2*n-1...], for each n=1..size-2. +C +C The last two addmuls, which are the bottom right corner of the product +C triangle, are left to the end. These are src[size-3]*src[size-2,size-1] +C and src[size-2]*src[size-1]. If size is 4 then it's only these corner +C cases that need to be done. +C +C The unrolled code is the same as mpn_addmul_1(), see that routine for some +C comments. +C +C VAR_COUNTER is the outer loop, running from -(size-4) to -1, inclusive. +C +C VAR_JMP is the computed jump into the unrolled code, stepped by one code +C chunk each outer loop. + +dnl This is also hard-coded in the address calculation below. +deflit(CODE_BYTES_PER_LIMB, 15) + +dnl With &src[size] and &dst[size-1] pointers, the displacements in the +dnl unrolled code fit in a byte for UNROLL_COUNT values up to 32, but above +dnl that an offset must be added to them. +deflit(OFFSET, +ifelse(eval(UNROLL_COUNT>32),1, +eval((UNROLL_COUNT-32)*4), +0)) + + C eax + C ebx carry + C ecx + C edx + C esi &src[size] + C edi &dst[size-1] + C ebp + + movl PARAM_SIZE, %ecx + + subl $4, %ecx + jz L(corner) + + movl %ecx, %edx + negl %ecx + + shll $4, %ecx +ifelse(OFFSET,0,,`subl $OFFSET, %esi') + +ifdef(`PIC',` + call L(pic_calc) +L(here): +',` + leal L(unroll_inner_end)-eval(2*CODE_BYTES_PER_LIMB)(%ecx,%edx), %ecx +') + negl %edx + +ifelse(OFFSET,0,,`subl $OFFSET, %edi') + + C The calculated jump mustn't be before the start of the available + C code. This is the limit that UNROLL_COUNT puts on the src operand + C size, but checked here using the jump address directly. + + ASSERT(ae, + `movl_text_address( L(unroll_inner_start), %eax) + cmpl %eax, %ecx') + + +C ----------------------------------------------------------------------------- + ALIGN(16) +L(unroll_outer_top): + C eax + C ebx high limb to store + C ecx VAR_JMP + C edx VAR_COUNTER, limbs, negative + C esi &src[size], constant + C edi dst ptr, second highest limb of last addmul + C ebp + + movl -12+OFFSET(%esi,%edx,4), %ebp C multiplier + movl %edx, VAR_COUNTER + + movl -8+OFFSET(%esi,%edx,4), %eax C first limb of multiplicand + + mull %ebp + +define(cmovX,`ifelse(eval(UNROLL_COUNT%2),1,`cmovz($@)',`cmovnz($@)')') + + testb $1, %cl + + movl %edx, %ebx C high carry + leal 4(%edi), %edi + + movl %ecx, %edx C jump + + movl %eax, %ecx C low carry + leal CODE_BYTES_PER_LIMB(%edx), %edx + + cmovX( %ebx, %ecx) C high carry reverse + cmovX( %eax, %ebx) C low carry reverse + movl %edx, VAR_JMP + jmp *%edx + + + C Must be on an even address here so the low bit of the jump address + C will indicate which way around ecx/ebx should start. + + ALIGN(2) + +L(unroll_inner_start): + C eax scratch + C ebx carry high + C ecx carry low + C edx scratch + C esi src pointer + C edi dst pointer + C ebp multiplier + C + C 15 code bytes each limb + C ecx/ebx reversed on each chunk + +forloop(`i', UNROLL_COUNT, 1, ` + deflit(`disp_src', eval(-i*4 + OFFSET)) + deflit(`disp_dst', eval(disp_src)) + + m4_assert(`disp_src>=-128 && disp_src<128') + m4_assert(`disp_dst>=-128 && disp_dst<128') + +ifelse(eval(i%2),0,` +Zdisp( movl, disp_src,(%esi), %eax) + mull %ebp +Zdisp( addl, %ebx, disp_dst,(%edi)) + adcl %eax, %ecx + movl %edx, %ebx + adcl $0, %ebx +',` + dnl this one comes out last +Zdisp( movl, disp_src,(%esi), %eax) + mull %ebp +Zdisp( addl, %ecx, disp_dst,(%edi)) + adcl %eax, %ebx + movl %edx, %ecx + adcl $0, %ecx +') +') +L(unroll_inner_end): + + addl %ebx, m4_empty_if_zero(OFFSET)(%edi) + + movl VAR_COUNTER, %edx + adcl $0, %ecx + + movl %ecx, m4_empty_if_zero(OFFSET+4)(%edi) + movl VAR_JMP, %ecx + + incl %edx + jnz L(unroll_outer_top) + + +ifelse(OFFSET,0,,` + addl $OFFSET, %esi + addl $OFFSET, %edi +') + + +C ----------------------------------------------------------------------------- + ALIGN(16) +L(corner): + C eax + C ebx + C ecx + C edx + C esi &src[size] + C edi &dst[2*size-5] + C ebp + + movl -12(%esi), %eax + + mull -8(%esi) + + addl %eax, (%edi) + movl -12(%esi), %eax + movl $0, %ebx + + adcl %edx, %ebx + + mull -4(%esi) + + addl %eax, %ebx + movl -8(%esi), %eax + + adcl $0, %edx + + addl %ebx, 4(%edi) + movl $0, %ebx + + adcl %edx, %ebx + + mull -4(%esi) + + movl PARAM_SIZE, %ecx + addl %ebx, %eax + + adcl $0, %edx + + movl %eax, 8(%edi) + + movl %edx, 12(%edi) + movl PARAM_DST, %edi + + +C Left shift of dst[1..2*size-2], the bit shifted out becomes dst[2*size-1]. + + subl $1, %ecx C size-1 + xorl %eax, %eax C ready for final adcl, and clear carry + + movl %ecx, %edx + movl PARAM_SRC, %esi + + +L(lshift): + C eax + C ebx + C ecx counter, size-1 to 1 + C edx size-1 (for later use) + C esi src (for later use) + C edi dst, incrementing + C ebp + + rcll 4(%edi) + rcll 8(%edi) + + leal 8(%edi), %edi + decl %ecx + jnz L(lshift) + + + adcl %eax, %eax + + movl %eax, 4(%edi) C dst most significant limb + movl (%esi), %eax C src[0] + + leal 4(%esi,%edx,4), %esi C &src[size] + subl %edx, %ecx C -(size-1) + + +C Now add in the squares on the diagonal, src[0]^2, src[1]^2, ..., +C src[size-1]^2. dst[0] hasn't yet been set at all yet, and just gets the +C low limb of src[0]^2. + + + mull %eax + + movl %eax, (%edi,%ecx,8) C dst[0] + + +L(diag): + C eax scratch + C ebx scratch + C ecx counter, negative + C edx carry + C esi &src[size] + C edi dst[2*size-2] + C ebp + + movl (%esi,%ecx,4), %eax + movl %edx, %ebx + + mull %eax + + addl %ebx, 4(%edi,%ecx,8) + adcl %eax, 8(%edi,%ecx,8) + adcl $0, %edx + + incl %ecx + jnz L(diag) + + + movl SAVE_ESI, %esi + movl SAVE_EBX, %ebx + + addl %edx, 4(%edi) C dst most significant limb + + movl SAVE_EDI, %edi + movl SAVE_EBP, %ebp + addl $FRAME, %esp + ret + + + +C ----------------------------------------------------------------------------- +ifdef(`PIC',` +L(pic_calc): + addl (%esp), %ecx + addl $L(unroll_inner_end)-L(here)-eval(2*CODE_BYTES_PER_LIMB), %ecx + addl %edx, %ecx + ret_internal +') + + +EPILOGUE()