dnl x86 generic mpn_sqr_basecase -- square an mpn number. dnl Copyright 1999, 2000, 2002, 2003 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 modify dnl it under the terms of the GNU Lesser General Public License as published dnl by the Free Software Foundation; either version 2 of the License, or (at dnl your option) any later version. 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 Lesser General Public dnl 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; see the file COPYING.LIB. If not, write to dnl the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, dnl Boston, MA 02110-1301, USA. include(`../config.m4') C cycles/crossproduct cycles/triangleproduct C P5: C P6: C K6: C K7: C P4: 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 size is C small. C C The mul1 loop is not unrolled like mul_1.asm, it doesn't seem worth the C code size to do so here. C C Enhancements: C C The addmul loop here is also not unrolled like aorsmul_1.asm and C mul_basecase.asm are. Perhaps it should be done. It'd add to the C complexity, but if it's worth doing in the other places then it should be C worthwhile here. C C A fully-unrolled style like other sqr_basecase.asm versions (k6, k7, p6) C might be worth considering. That'd add quite a bit to the code size, but C only as much as is used would be dragged into L1 cache. defframe(PARAM_SIZE,12) defframe(PARAM_SRC, 8) defframe(PARAM_DST, 4) TEXT ALIGN(8) 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) ja L(three_or_more) C ----------------------------------------------------------------------------- C one limb only C eax src C ebx C ecx dst C edx movl (%eax), %eax mull %eax movl %eax, (%ecx) movl %edx, 4(%ecx) ret C ----------------------------------------------------------------------------- ALIGN(8) L(two_limbs): C eax src C ebx C ecx dst C edx pushl %ebx pushl %ebp movl %eax, %ebx movl (%eax), %eax mull %eax C src[0]^2 pushl %esi pushl %edi movl %edx, %esi C dst[1] movl %eax, (%ecx) C dst[0] movl 4(%ebx), %eax mull %eax C src[1]^2 movl %eax, %edi C dst[2] movl %edx, %ebp C dst[3] movl (%ebx), %eax mull 4(%ebx) C src[0]*src[1] addl %eax, %esi adcl %edx, %edi adcl $0, %ebp addl %esi, %eax adcl %edi, %edx movl %eax, 4(%ecx) adcl $0, %ebp movl %edx, 8(%ecx) movl %ebp, 12(%ecx) popl %edi popl %esi popl %ebp popl %ebx ret C ----------------------------------------------------------------------------- ALIGN(8) L(three_or_more): deflit(`FRAME',0) C eax src C ebx C ecx dst C edx size pushl %ebx FRAME_pushl() pushl %edi FRAME_pushl() pushl %esi FRAME_pushl() pushl %ebp FRAME_pushl() leal (%ecx,%edx,4), %edi C &dst[size], end of this mul1 leal (%eax,%edx,4), %esi C &src[size] C First multiply src[0]*src[1..size-1] and store at dst[1..size]. movl (%eax), %ebp C src[0], multiplier movl %edx, %ecx negl %ecx C -size xorl %ebx, %ebx C clear carry limb incl %ecx C -(size-1) L(mul1): C eax scratch C ebx carry C ecx counter, limbs, negative C edx scratch C esi &src[size] C edi &dst[size] C ebp multiplier movl (%esi,%ecx,4), %eax mull %ebp addl %eax, %ebx adcl $0, %edx movl %ebx, (%edi,%ecx,4) movl %edx, %ebx incl %ecx jnz L(mul1) movl %ebx, (%edi) C Add products src[n]*src[n+1..size-1] at dst[2*n-1...], for C n=1..size-2. C C The last products src[size-2]*src[size-1], which is the end corner C of the product triangle, is handled separately at the end to save C looping overhead. If size is 3 then it's only this that needs to C be done. C C In the outer loop %esi is a constant, and %edi just advances by 1 C limb each time. The size of the operation decreases by 1 limb C each time. C eax C ebx carry (needing carry flag added) C ecx C edx C esi &src[size] C edi &dst[size] C ebp movl PARAM_SIZE, %ecx subl $3, %ecx jz L(corner) negl %ecx dnl re-use parameter space define(VAR_OUTER,`PARAM_DST') L(outer): C eax C ebx C ecx C edx outer loop counter, -(size-3) to -1 C esi &src[size] C edi dst, pointing at stored carry limb of previous loop C ebp movl %ecx, VAR_OUTER addl $4, %edi C advance dst end movl -8(%esi,%ecx,4), %ebp C next multiplier subl $1, %ecx xorl %ebx, %ebx C initial carry limb L(inner): C eax scratch C ebx carry (needing carry flag added) C ecx counter, -n-1 to -1 C edx scratch C esi &src[size] C edi dst end of this addmul C ebp multiplier movl (%esi,%ecx,4), %eax mull %ebp addl %ebx, %eax adcl $0, %edx addl %eax, (%edi,%ecx,4) adcl $0, %edx movl %edx, %ebx addl $1, %ecx jl L(inner) movl %ebx, (%edi) movl VAR_OUTER, %ecx incl %ecx jnz L(outer) L(corner): C esi &src[size] C edi &dst[2*size-3] movl -4(%esi), %eax mull -8(%esi) C src[size-1]*src[size-2] addl %eax, 0(%edi) adcl $0, %edx movl %edx, 4(%edi) C dst high limb C ----------------------------------------------------------------------------- C Left shift of dst[1..2*size-2], high bit shifted out becomes dst[2*size-1]. movl PARAM_SIZE, %eax negl %eax addl $1, %eax C -(size-1) and clear carry L(lshift): C eax counter, negative C ebx next limb C ecx C edx C esi C edi &dst[2*size-4] C ebp rcll 8(%edi,%eax,8) rcll 12(%edi,%eax,8) incl %eax jnz L(lshift) adcl %eax, %eax C high bit out movl %eax, 8(%edi) C dst most significant limb C Now add in the squares on the diagonal, namely 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. movl PARAM_SRC, %esi movl (%esi), %eax C src[0] mull %eax C src[0]^2 movl PARAM_SIZE, %ecx leal (%esi,%ecx,4), %esi C src end negl %ecx C -size movl %edx, %ebx C initial carry movl %eax, 12(%edi,%ecx,8) C dst[0] incl %ecx C -(size-1) L(diag): C eax scratch (low product) C ebx carry limb C ecx counter, -(size-1) to -1 C edx scratch (high product) C esi &src[size] C edi &dst[2*size-3] C ebp scratch (fetched dst limbs) movl (%esi,%ecx,4), %eax mull %eax addl %ebx, 8(%edi,%ecx,8) movl %edx, %ebx adcl %eax, 12(%edi,%ecx,8) adcl $0, %ebx incl %ecx jnz L(diag) addl %ebx, 8(%edi) C dst most significant limb popl %ebp popl %esi popl %edi popl %ebx ret EPILOGUE()