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Annotation of OpenXM_contrib/gmp/mpn/x86/k6/pre_mod_1.asm, Revision 1.1.1.1

1.1       ohara       1: dnl  AMD K6 mpn_preinv_mod_1 -- mpn by 1 remainder, with pre-inverted divisor.
                      2:
                      3: dnl  Copyright 2000, 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: 18.0 cycles/limb
                     26:
                     27:
                     28: C mp_limb_t mpn_preinv_mod_1 (mp_srcptr src, mp_size_t size, mp_limb_t divisor,
                     29: C                             mp_limb_t inverse);
                     30: C
                     31: C This code is only 2 c/l faster than a simple divl, but that's 10% so it's
                     32: C considered worthwhile (just).
                     33: C
                     34: C Future:
                     35: C
                     36: C In theory this code should be made available in mod_1 and mod_1c, but it
                     37: C would take quite a while to overcome the time to calculate an inverse.
                     38: C The threshold would probably be around 20 limbs, or around 30 for an
                     39: C unnormalized divisor.
                     40:
                     41: defframe(PARAM_INVERSE,16)
                     42: defframe(PARAM_DIVISOR,12)
                     43: defframe(PARAM_SIZE,    8)
                     44: defframe(PARAM_SRC,     4)
                     45:
                     46:        TEXT
                     47:        ALIGN(32)
                     48: PROLOGUE(mpn_preinv_mod_1)
                     49: deflit(`FRAME',0)
                     50:
                     51:        ASSERT(ae,`cmpl $1, PARAM_SIZE')
                     52:        ASSERT(nz,`testl $0x80000000, PARAM_DIVISOR')
                     53:
                     54:        movl    PARAM_SIZE, %ecx
                     55:        pushl   %ebp    FRAME_pushl()
                     56:
                     57:        movl    PARAM_SRC, %ebp
                     58:        pushl   %edi    FRAME_pushl()
                     59:
                     60:        movl    PARAM_DIVISOR, %eax
                     61:        pushl   %esi    FRAME_pushl()
                     62:
                     63:        movl    -4(%ebp,%ecx,4), %esi   C src high limb
                     64:        pushl   %ebx    FRAME_pushl()
                     65:
                     66:        movl    %edx, %edi              C first n2 to cancel
                     67:        subl    %eax, %esi              C first n1 = high-divisor
                     68:
                     69:        decl    %ecx
                     70:        jz      L(done_sbbl)
                     71:
                     72: L(top):
                     73:        C eax   scratch
                     74:        C ebx   n10, nadj, q1
                     75:        C ecx   counter, size to 1
                     76:        C edx   scratch
                     77:        C esi   n2
                     78:        C edi   old high, for underflow test
                     79:        C ebp   src
                     80:
                     81:        sbbl    %edx, %edi          C high n-(q1+1)*d, 0 or -1
                     82:
                     83: L(entry):
                     84:        andl    PARAM_DIVISOR, %edi
                     85: L(q1_ff_top):
                     86:        movl    -4(%ebp,%ecx,4), %ebx
                     87:
                     88:        addl    %esi, %edi          C possible addback
                     89:        movl    %ebx, %esi          C n10
                     90:
                     91:        sarl    $31, %ebx           C -n1 = 0 or -1
                     92:        movl    %edi, %eax          C n2
                     93:
                     94:        movl    PARAM_INVERSE, %edx
                     95:        subl    %ebx, %eax          C n2+n1
                     96:
                     97:        mull    %edx                C m*(n2+n1)
                     98:
                     99:        andl    PARAM_DIVISOR, %ebx C -n1 & d
                    100:        addl    %esi, %ebx          C nadj = n10 + (-n1&d), ignoring overflow
                    101:
                    102:        addl    %ebx, %eax          C low m*(n2+n1) + nadj, giving carry flag
                    103:        leal    1(%edi), %ebx       C n2+1
                    104:
                    105:        adcl    %ebx, %edx          C 1+high(n2<<32+m*(n2+n1)+nadj) = q1+1
                    106:
                    107:        movl    PARAM_DIVISOR, %eax C d
                    108:        jz      L(q1_ff)
                    109:
                    110:        mull    %edx                C (q1+1)*d
                    111:
                    112:        subl    %eax, %esi          C low  n-(q1+1)*d
                    113:        loop    L(top)
                    114:
                    115:
                    116:
                    117: L(done_sbbl):
                    118:        sbbl    %edx, %edi          C high n-(q1+1)*d, 0 or -1
                    119:
                    120:        andl    PARAM_DIVISOR, %edi
                    121: L(done_esi_edi):
                    122:        popl    %ebx
                    123:
                    124:        leal    (%esi,%edi), %eax
                    125:        popl    %esi
                    126:
                    127:        popl    %edi
                    128:        popl    %ebp
                    129:
                    130:        ret
                    131:
                    132:
                    133: C Special case for q1=0xFFFFFFFF, giving q=0xFFFFFFFF meaning the low dword
                    134: C of q*d is simply -d and the remainder n-q*d = n10+d.  This is rarely
                    135: C reached.
                    136:
                    137: L(q1_ff):
                    138:        movl    PARAM_DIVISOR, %edi
                    139:        loop    L(q1_ff_top)
                    140:
                    141:        jmp     L(done_esi_edi)
                    142:
                    143:
                    144: EPILOGUE()

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