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Annotation of OpenXM_contrib/gmp/mpn/x86/k7/dive_1.asm, Revision 1.1.1.1

1.1       ohara       1: dnl  AMD K7 mpn_divexact_1 -- mpn by limb exact division.
                      2:
                      3: dnl  Copyright 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 K7: 11.0 cycles/limb
                     26:
                     27:
                     28: C void mpn_divexact_1 (mp_ptr dst, mp_srcptr src, mp_size_t size,
                     29: C                      mp_limb_t divisor);
                     30: C
                     31: C The dependent chain is mul+imul+sub for 11 cycles and that speed is
                     32: C achieved with no special effort.  The load and shrld latencies are hidden
                     33: C by out of order execution.
                     34: C
                     35: C It's a touch faster on size==1 to use the mul-by-inverse than divl.
                     36:
                     37: defframe(PARAM_DIVISOR,16)
                     38: defframe(PARAM_SIZE,   12)
                     39: defframe(PARAM_SRC,    8)
                     40: defframe(PARAM_DST,    4)
                     41:
                     42: defframe(SAVE_EBX,     -4)
                     43: defframe(SAVE_ESI,     -8)
                     44: defframe(SAVE_EDI,    -12)
                     45: defframe(SAVE_EBP,    -16)
                     46: defframe(VAR_INVERSE, -20)
                     47: defframe(VAR_DST_END, -24)
                     48:
                     49: deflit(STACK_SPACE, 24)
                     50:
                     51:        TEXT
                     52:
                     53:        ALIGN(16)
                     54: PROLOGUE(mpn_divexact_1)
                     55: deflit(`FRAME',0)
                     56:
                     57:        movl    PARAM_DIVISOR, %eax
                     58:        subl    $STACK_SPACE, %esp      deflit(`FRAME',STACK_SPACE)
                     59:        movl    $-1, %ecx               C shift count
                     60:
                     61:        movl    %ebp, SAVE_EBP
                     62:        movl    PARAM_SIZE, %ebp
                     63:
                     64:        movl    %esi, SAVE_ESI
                     65:        movl    %edi, SAVE_EDI
                     66:
                     67:        C If there's usually only one or two trailing zero bits then this
                     68:        C should be faster than bsfl.
                     69: L(strip_twos):
                     70:        incl    %ecx
                     71:        shrl    %eax
                     72:        jnc     L(strip_twos)
                     73:
                     74:        movl    %ebx, SAVE_EBX
                     75:        leal    1(%eax,%eax), %ebx      C d without twos
                     76:        andl    $127, %eax              C d/2, 7 bits
                     77:
                     78: ifdef(`PIC',`
                     79:        call    L(movl_eip_edx)
                     80:
                     81:        addl    $_GLOBAL_OFFSET_TABLE_, %edx
                     82:
                     83:        movl    modlimb_invert_table@GOT(%edx), %edx
                     84:
                     85:        movzbl  (%eax,%edx), %eax                       C inv 8 bits
                     86: ',`
                     87: dnl non-PIC
                     88:        movzbl  modlimb_invert_table(%eax), %eax        C inv 8 bits
                     89: ')
                     90:
                     91:        leal    (%eax,%eax), %edx       C 2*inv
                     92:        movl    %ebx, PARAM_DIVISOR     C d without twos
                     93:
                     94:        imull   %eax, %eax              C inv*inv
                     95:
                     96:        movl    PARAM_SRC, %esi
                     97:        movl    PARAM_DST, %edi
                     98:
                     99:        imull   %ebx, %eax              C inv*inv*d
                    100:
                    101:        subl    %eax, %edx              C inv = 2*inv - inv*inv*d
                    102:        leal    (%edx,%edx), %eax       C 2*inv
                    103:
                    104:        imull   %edx, %edx              C inv*inv
                    105:
                    106:        leal    (%esi,%ebp,4), %esi     C src end
                    107:        leal    (%edi,%ebp,4), %edi     C dst end
                    108:        negl    %ebp                    C -size
                    109:
                    110:        imull   %ebx, %edx              C inv*inv*d
                    111:
                    112:        subl    %edx, %eax              C inv = 2*inv - inv*inv*d
                    113:
                    114:        ASSERT(e,`      C expect d*inv == 1 mod 2^BITS_PER_MP_LIMB
                    115:        pushl   %eax    FRAME_pushl()
                    116:        imull   PARAM_DIVISOR, %eax
                    117:        cmpl    $1, %eax
                    118:        popl    %eax    FRAME_popl()')
                    119:
                    120:        movl    %eax, VAR_INVERSE
                    121:        movl    (%esi,%ebp,4), %eax     C src[0]
                    122:
                    123:        incl    %ebp
                    124:        jz      L(one)
                    125:
                    126:        movl    (%esi,%ebp,4), %edx     C src[1]
                    127:
                    128:        shrdl(  %cl, %edx, %eax)
                    129:
                    130:        movl    %edi, VAR_DST_END
                    131:        xorl    %ebx, %ebx
                    132:        jmp     L(entry)
                    133:
                    134: ifdef(`PIC',`
                    135: L(movl_eip_edx):
                    136:        movl    (%esp), %edx
                    137:        ret
                    138: ')
                    139:
                    140:        ALIGN(8)
                    141: L(top):
                    142:        C eax   q
                    143:        C ebx   carry bit, 0 or 1
                    144:        C ecx   shift
                    145:        C edx
                    146:        C esi   src end
                    147:        C edi   dst end
                    148:        C ebp   counter, limbs, negative
                    149:
                    150:        mull    PARAM_DIVISOR           C carry limb in edx
                    151:
                    152:        movl    -4(%esi,%ebp,4), %eax
                    153:        movl    (%esi,%ebp,4), %edi
                    154:
                    155:        shrdl(  %cl, %edi, %eax)
                    156:
                    157:        subl    %ebx, %eax              C apply carry bit
                    158:        setc    %bl
                    159:        movl    VAR_DST_END, %edi
                    160:
                    161:        subl    %edx, %eax              C apply carry limb
                    162:        adcl    $0, %ebx
                    163:
                    164: L(entry):
                    165:        imull   VAR_INVERSE, %eax
                    166:
                    167:        movl    %eax, -4(%edi,%ebp,4)
                    168:        incl    %ebp
                    169:        jnz     L(top)
                    170:
                    171:
                    172:        mull    PARAM_DIVISOR           C carry limb in edx
                    173:
                    174:        movl    -4(%esi), %eax          C src high limb
                    175:        shrl    %cl, %eax
                    176:        movl    SAVE_ESI, %esi
                    177:
                    178:        subl    %ebx, %eax              C apply carry bit
                    179:        movl    SAVE_EBX, %ebx
                    180:        movl    SAVE_EBP, %ebp
                    181:
                    182:        subl    %edx, %eax              C apply carry limb
                    183:
                    184:        imull   VAR_INVERSE, %eax
                    185:
                    186:        movl    %eax, -4(%edi)
                    187:        movl    SAVE_EDI, %edi
                    188:        addl    $STACK_SPACE, %esp
                    189:
                    190:        ret
                    191:
                    192:
                    193: L(one):
                    194:        shrl    %cl, %eax
                    195:        movl    SAVE_ESI, %esi
                    196:        movl    SAVE_EBX, %ebx
                    197:
                    198:        imull   VAR_INVERSE, %eax
                    199:
                    200:        movl    SAVE_EBP, %ebp
                    201:        movl    %eax, -4(%edi)
                    202:
                    203:        movl    SAVE_EDI, %edi
                    204:        addl    $STACK_SPACE, %esp
                    205:
                    206:        ret
                    207:
                    208: EPILOGUE()

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