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Annotation of OpenXM_contrib/gmp/mpn/x86/k6/mode1o.asm, Revision 1.1.1.1

1.1       ohara       1: dnl  AMD K6 mpn_modexact_1_odd -- exact division style remainder.
                      2:
                      3: dnl  Copyright 2000, 2001, 2002 Free Software Foundation, Inc.
                      4: dnl
                      5: dnl  This file is part of the GNU MP Library.
                      6: dnl
                      7: dnl  The GNU MP Library is free software; you can redistribute it and/or
                      8: dnl  modify it under the terms of the GNU Lesser General Public License as
                      9: dnl  published by the Free Software Foundation; either version 2.1 of the
                     10: dnl  License, or (at your option) any later version.
                     11: dnl
                     12: dnl  The GNU MP Library is distributed in the hope that it will be useful,
                     13: dnl  but WITHOUT ANY WARRANTY; without even the implied warranty of
                     14: dnl  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
                     15: dnl  Lesser General Public License for more details.
                     16: dnl
                     17: dnl  You should have received a copy of the GNU Lesser General Public
                     18: dnl  License along with the GNU MP Library; see the file COPYING.LIB.  If
                     19: dnl  not, write to the Free Software Foundation, Inc., 59 Temple Place -
                     20: dnl  Suite 330, Boston, MA 02111-1307, USA.
                     21:
                     22: include(`../config.m4')
                     23:
                     24:
                     25: C K6: 10.0 cycles/limb
                     26:
                     27:
                     28: C mp_limb_t mpn_modexact_1_odd (mp_srcptr src, mp_size_t size,
                     29: C                               mp_limb_t divisor);
                     30: C mp_limb_t mpn_modexact_1c_odd (mp_srcptr src, mp_size_t size,
                     31: C                                mp_limb_t divisor, mp_limb_t carry);
                     32: C
                     33: C A special case for high<divisor at the end measured only about 4 cycles
                     34: C faster, and so isn't used.
                     35: C
                     36: C A special case for size==1 using a divl rather than the inverse measured
                     37: C only about 5 cycles faster, and so isn't used.  When size==1 and
                     38: C high<divisor it can skip a division and be a full 24 cycles faster, but
                     39: C this isn't an important case.
                     40:
                     41: defframe(PARAM_CARRY,  16)
                     42: defframe(PARAM_DIVISOR,12)
                     43: defframe(PARAM_SIZE,   8)
                     44: defframe(PARAM_SRC,    4)
                     45:
                     46:        TEXT
                     47:
                     48:        ALIGN(32)
                     49: PROLOGUE(mpn_modexact_1c_odd)
                     50: deflit(`FRAME',0)
                     51:
                     52:        movl    PARAM_DIVISOR, %ecx
                     53:        pushl   %esi            FRAME_pushl()
                     54:
                     55:        movl    PARAM_CARRY, %edx
                     56:        jmp     L(start_1c)
                     57:
                     58: ifdef(`PIC',`
                     59: L(movl_eip_edi):
                     60:        movl    (%esp), %edi
                     61:        ret
                     62: ')
                     63:
                     64: EPILOGUE()
                     65:
                     66:
                     67:        ALIGN(16)
                     68: PROLOGUE(mpn_modexact_1_odd)
                     69: deflit(`FRAME',0)
                     70:
                     71:        movl    PARAM_DIVISOR, %ecx
                     72:        pushl   %esi            FRAME_pushl()
                     73:
                     74:        xorl    %edx, %edx
                     75: L(start_1c):
                     76:        pushl   %edi            FRAME_pushl()
                     77:
                     78:        shrl    %ecx                    C d/2
                     79:        movl    PARAM_DIVISOR, %esi
                     80:
                     81:        andl    $127, %ecx              C d/2, 7 bits
                     82:        pushl   %ebp            FRAME_pushl()
                     83:
                     84: ifdef(`PIC',`
                     85:        call    L(movl_eip_edi)
                     86:
                     87:        addl    $_GLOBAL_OFFSET_TABLE_, %edi
                     88:        C
                     89:        movl    modlimb_invert_table@GOT(%edi), %edi
                     90:        C
                     91: Zdisp( movzbl, 0,(%ecx,%edi), %edi)                    C inv 8 bits
                     92: ',`
                     93:
                     94: dnl non-PIC
                     95:        movzbl  modlimb_invert_table(%ecx), %edi        C inv 8 bits
                     96: ')
                     97:        leal    (%edi,%edi), %ecx       C 2*inv
                     98:
                     99:        imull   %edi, %edi              C inv*inv
                    100:
                    101:        movl    PARAM_SRC, %eax
                    102:        movl    PARAM_SIZE, %ebp
                    103:
                    104:        imull   %esi, %edi              C inv*inv*d
                    105:
                    106:        pushl   %ebx            FRAME_pushl()
                    107:        leal    (%eax,%ebp,4), %ebx     C src end
                    108:
                    109:        subl    %edi, %ecx              C inv = 2*inv - inv*inv*d
                    110:        leal    (%ecx,%ecx), %edi       C 2*inv
                    111:
                    112:        imull   %ecx, %ecx              C inv*inv
                    113:
                    114:        movl    (%eax), %eax            C src low limb
                    115:        negl    %ebp                    C -size
                    116:
                    117:        imull   %esi, %ecx              C inv*inv*d
                    118:
                    119:        subl    %ecx, %edi              C inv = 2*inv - inv*inv*d
                    120:
                    121:        ASSERT(e,`      C d*inv == 1 mod 2^BITS_PER_MP_LIMB
                    122:        pushl   %eax
                    123:        movl    %esi, %eax
                    124:        imull   %edi, %eax
                    125:        cmpl    $1, %eax
                    126:        popl    %eax')
                    127:
                    128:        jmp     L(entry)
                    129:
                    130:
                    131: C Rotating the mul to the top of the loop saves 1 cycle, presumably by
                    132: C hiding the loop control under the imul latency.
                    133: C
                    134: C The run time is 10 cycles, but decoding is only 9 (and the dependent chain
                    135: C only 8).  It's not clear how to get down to 9 cycles.
                    136: C
                    137: C The xor and rcl to handle the carry bit could be an sbb instead, with the
                    138: C the carry bit add becoming a sub, but that doesn't save anything.
                    139:
                    140: L(top):
                    141:        C eax   (low product)
                    142:        C ebx   src end
                    143:        C ecx   carry bit, 0 or 1
                    144:        C edx   (high product, being carry limb)
                    145:        C esi   divisor
                    146:        C edi   inverse
                    147:        C ebp   counter, limbs, negative
                    148:
                    149:        mull    %esi
                    150:
                    151:        movl    (%ebx,%ebp,4), %eax
                    152:        addl    %ecx, %edx              C apply carry bit to carry limb
                    153:        ASSERT(a, `cmpl %edx, %esi')
                    154:
                    155: L(entry):
                    156:        xorl    %ecx, %ecx
                    157:        subl    %edx, %eax              C apply carry limb
                    158:
                    159:        rcll    %ecx
                    160:
                    161:        imull   %edi, %eax
                    162:
                    163:        incl    %ebp
                    164:        jnz     L(top)
                    165:
                    166:
                    167:
                    168:        popl    %ebx
                    169:        popl    %ebp
                    170:
                    171:        mull    %esi
                    172:
                    173:        popl    %edi
                    174:        popl    %esi
                    175:
                    176:        leal    (%ecx,%edx), %eax
                    177:
                    178:        ret
                    179:
                    180: EPILOGUE()

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