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Annotation of OpenXM_contrib/gmp/mpn/x86/k7/mul_1.asm, Revision 1.1.1.1

1.1       maekawa     1: dnl  AMD K7 mpn_mul_1 -- mpn by limb multiply.
                      2: dnl
                      3: dnl  K7: 3.4 cycles/limb (at 16 limbs/loop).
                      4:
                      5:
                      6: dnl  Copyright (C) 1999, 2000 Free Software Foundation, Inc.
                      7: dnl
                      8: dnl  This file is part of the GNU MP Library.
                      9: dnl
                     10: dnl  The GNU MP Library is free software; you can redistribute it and/or
                     11: dnl  modify it under the terms of the GNU Lesser General Public License as
                     12: dnl  published by the Free Software Foundation; either version 2.1 of the
                     13: dnl  License, or (at your option) any later version.
                     14: dnl
                     15: dnl  The GNU MP Library is distributed in the hope that it will be useful,
                     16: dnl  but WITHOUT ANY WARRANTY; without even the implied warranty of
                     17: dnl  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
                     18: dnl  Lesser General Public License for more details.
                     19: dnl
                     20: dnl  You should have received a copy of the GNU Lesser General Public
                     21: dnl  License along with the GNU MP Library; see the file COPYING.LIB.  If
                     22: dnl  not, write to the Free Software Foundation, Inc., 59 Temple Place -
                     23: dnl  Suite 330, Boston, MA 02111-1307, USA.
                     24:
                     25:
                     26: include(`../config.m4')
                     27:
                     28:
                     29: dnl  K7: UNROLL_COUNT cycles/limb
                     30: dnl           8           3.9
                     31: dnl          16           3.4
                     32: dnl          32           3.4
                     33: dnl          64           3.35
                     34: dnl  Maximum possible with the current code is 64.
                     35:
                     36: deflit(UNROLL_COUNT, 16)
                     37:
                     38:
                     39: C mp_limb_t mpn_mul_1 (mp_ptr dst, mp_srcptr src, mp_size_t size,
                     40: C                      mp_limb_t multiplier);
                     41: C mp_limb_t mpn_mul_1c (mp_ptr dst, mp_srcptr src, mp_size_t size,
                     42: C                       mp_limb_t multiplier, mp_limb_t carry);
                     43: C
                     44: C Multiply src,size by mult and store the result in dst,size.
                     45: C Return the carry limb from the top of the result.
                     46: C
                     47: C mpn_mul_1c() accepts an initial carry for the calculation, it's added into
                     48: C the low limb of the destination.
                     49: C
                     50: C Variations on the unrolled loop have been tried, with the current
                     51: C registers or with the counter on the stack to free up ecx.  The current
                     52: C code is the fastest found.
                     53: C
                     54: C An interesting effect is that removing the stores "movl %ebx, disp0(%edi)"
                     55: C from the unrolled loop actually slows it down to 5.0 cycles/limb.  Code
                     56: C with this change can be tested on sizes of the form UNROLL_COUNT*n+1
                     57: C without having to change the computed jump.  There's obviously something
                     58: C fishy going on, perhaps with what execution units the mul needs.
                     59:
                     60: defframe(PARAM_CARRY,     20)
                     61: defframe(PARAM_MULTIPLIER,16)
                     62: defframe(PARAM_SIZE,      12)
                     63: defframe(PARAM_SRC,       8)
                     64: defframe(PARAM_DST,       4)
                     65:
                     66: defframe(SAVE_EBP, -4)
                     67: defframe(SAVE_EDI, -8)
                     68: defframe(SAVE_ESI, -12)
                     69: defframe(SAVE_EBX, -16)
                     70: deflit(STACK_SPACE, 16)
                     71:
                     72: dnl  Must have UNROLL_THRESHOLD >= 2, since the unrolled loop can't handle 1.
                     73: ifdef(`PIC',`
                     74: deflit(UNROLL_THRESHOLD, 7)
                     75: ',`
                     76: deflit(UNROLL_THRESHOLD, 5)
                     77: ')
                     78:
                     79:        .text
                     80:        ALIGN(32)
                     81: PROLOGUE(mpn_mul_1c)
                     82: deflit(`FRAME',0)
                     83:        movl    PARAM_CARRY, %edx
                     84:        jmp     LF(mpn_mul_1,start_nc)
                     85: EPILOGUE()
                     86:
                     87:
                     88: PROLOGUE(mpn_mul_1)
                     89: deflit(`FRAME',0)
                     90:        xorl    %edx, %edx      C initial carry
                     91: L(start_nc):
                     92:        movl    PARAM_SIZE, %ecx
                     93:        subl    $STACK_SPACE, %esp
                     94: deflit(`FRAME', STACK_SPACE)
                     95:
                     96:        movl    %edi, SAVE_EDI
                     97:        movl    %ebx, SAVE_EBX
                     98:        movl    %edx, %ebx
                     99:
                    100:        movl    %esi, SAVE_ESI
                    101:        movl    PARAM_SRC, %esi
                    102:        cmpl    $UNROLL_THRESHOLD, %ecx
                    103:
                    104:        movl    PARAM_DST, %edi
                    105:        movl    %ebp, SAVE_EBP
                    106:        jae     L(unroll)
                    107:
                    108:        leal    (%esi,%ecx,4), %esi
                    109:        leal    (%edi,%ecx,4), %edi
                    110:        negl    %ecx
                    111:
                    112:        movl    PARAM_MULTIPLIER, %ebp
                    113:
                    114: L(simple):
                    115:        C eax   scratch
                    116:        C ebx   carry
                    117:        C ecx   counter (negative)
                    118:        C edx   scratch
                    119:        C esi   src
                    120:        C edi   dst
                    121:        C ebp   multiplier
                    122:
                    123:        movl    (%esi,%ecx,4), %eax
                    124:
                    125:        mull    %ebp
                    126:
                    127:        addl    %ebx, %eax
                    128:        movl    %eax, (%edi,%ecx,4)
                    129:        movl    $0, %ebx
                    130:
                    131:        adcl    %edx, %ebx
                    132:        incl    %ecx
                    133:        jnz     L(simple)
                    134:
                    135:        movl    %ebx, %eax
                    136:        movl    SAVE_EBX, %ebx
                    137:        movl    SAVE_ESI, %esi
                    138:
                    139:        movl    SAVE_EDI, %edi
                    140:        movl    SAVE_EBP, %ebp
                    141:        addl    $STACK_SPACE, %esp
                    142:
                    143:        ret
                    144:
                    145:
                    146: C -----------------------------------------------------------------------------
                    147: C The mov to load the next source limb is done well ahead of the mul, this
                    148: C is necessary for full speed.  It leads to one limb handled separately
                    149: C after the loop.
                    150: C
                    151: C When unrolling to 32 or more, an offset of +4 is used on the src pointer,
                    152: C to avoid having an 0x80 displacement in the code for the last limb in the
                    153: C unrolled loop.  This is for a fair comparison between 16 and 32 unrolling.
                    154:
                    155: ifelse(eval(UNROLL_COUNT >= 32),1,`
                    156: deflit(SRC_OFFSET,4)
                    157: ',`
                    158: deflit(SRC_OFFSET,)
                    159: ')
                    160:
                    161:        C this is offset 0x62, so close enough to aligned
                    162: L(unroll):
                    163:        C eax
                    164:        C ebx   initial carry
                    165:        C ecx   size
                    166:        C edx
                    167:        C esi   src
                    168:        C edi   dst
                    169:        C ebp
                    170: deflit(`FRAME', STACK_SPACE)
                    171:
                    172:        leal    -1(%ecx), %edx  C one limb handled at end
                    173:        leal    -2(%ecx), %ecx  C and ecx is one less than edx
                    174:        movl    %ebp, SAVE_EBP
                    175:
                    176:        negl    %edx
                    177:        shrl    $UNROLL_LOG2, %ecx      C unrolled loop counter
                    178:        movl    (%esi), %eax            C src low limb
                    179:
                    180:        andl    $UNROLL_MASK, %edx
                    181:        movl    PARAM_DST, %edi
                    182:
                    183:        movl    %edx, %ebp
                    184:        shll    $4, %edx
                    185:
                    186:        C 17 code bytes per limb
                    187: ifdef(`PIC',`
                    188:        call    L(add_eip_to_edx)
                    189: L(here):
                    190: ',`
                    191:        leal    L(entry) (%edx,%ebp), %edx
                    192: ')
                    193:        negl    %ebp
                    194:
                    195:        leal    ifelse(UNROLL_BYTES,256,128+) SRC_OFFSET(%esi,%ebp,4), %esi
                    196:        leal    ifelse(UNROLL_BYTES,256,128) (%edi,%ebp,4), %edi
                    197:        movl    PARAM_MULTIPLIER, %ebp
                    198:
                    199:        jmp     *%edx
                    200:
                    201:
                    202: ifdef(`PIC',`
                    203: L(add_eip_to_edx):
                    204:        C See README.family about old gas bugs
                    205:        leal    (%edx,%ebp), %edx
                    206:        addl    $L(entry)-L(here), %edx
                    207:        addl    (%esp), %edx
                    208:        ret
                    209: ')
                    210:
                    211:
                    212: C ----------------------------------------------------------------------------
                    213:        ALIGN(32)
                    214: L(top):
                    215:        C eax   next src limb
                    216:        C ebx   carry
                    217:        C ecx   counter
                    218:        C edx   scratch
                    219:        C esi   src+4
                    220:        C edi   dst
                    221:        C ebp   multiplier
                    222:        C
                    223:        C 17 code bytes per limb processed
                    224:
                    225: L(entry):
                    226: forloop(i, 0, UNROLL_COUNT-1, `
                    227:        deflit(`disp_dst', eval(i*4 ifelse(UNROLL_BYTES,256,-128)))
                    228:        deflit(`disp_src', eval(disp_dst + 4-(SRC_OFFSET-0)))
                    229:
                    230:        mull    %ebp
                    231:
                    232:        addl    %eax, %ebx
                    233: Zdisp( movl,   disp_src,(%esi), %eax)
                    234: Zdisp( movl,   %ebx, disp_dst,(%edi))
                    235:
                    236:        movl    $0, %ebx
                    237:        adcl    %edx, %ebx
                    238: ')
                    239:
                    240:        decl    %ecx
                    241:
                    242:        leal    UNROLL_BYTES(%esi), %esi
                    243:        leal    UNROLL_BYTES(%edi), %edi
                    244:        jns     L(top)
                    245:
                    246:
                    247: deflit(`disp0', ifelse(UNROLL_BYTES,256,-128))
                    248:
                    249:        mull    %ebp
                    250:
                    251:        addl    %eax, %ebx
                    252:        movl    $0, %eax
                    253:        movl    SAVE_ESI, %esi
                    254:
                    255:        movl    %ebx, disp0(%edi)
                    256:        movl    SAVE_EBX, %ebx
                    257:        movl    SAVE_EDI, %edi
                    258:
                    259:        adcl    %edx, %eax
                    260:        movl    SAVE_EBP, %ebp
                    261:        addl    $STACK_SPACE, %esp
                    262:
                    263:        ret
                    264:
                    265: EPILOGUE()

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