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|
dnl Alpha mpn_invert_limb -- Invert a normalized limb.
dnl Copyright 1996, 2000, 2001, 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 2.1 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., 59 Temple Place - Suite 330, Boston,
dnl MA 02111-1307, USA.
include(`../config.m4')
C cycles/limb
C EV4: 175
C EV5: 125
C EV6: 67
C This is based on ideas of Peter L. Montgomery.
ASM_START()
FLOAT64($C36,9223372036854775808.0) C 2^63
PROLOGUE(mpn_invert_limb,gp)
lda r30,-16(r30)
addq r16,r16,r1
bne r1,$73
lda r0,-1
br r31,$Lend
$73:
srl r16,1,r1
stq r1,0(r30)
ldt f11,0(r30)
cvtqt f11,f1
LEA(r1,$C36)
ldt f10,0(r1) C f10 = 2^63
divt f10,f1,f10 C f10 = 2^63 / (u / 2)
LEA(r2,$invtab-4096)
srl r16,52,r1 C extract high 8 bits
addq r1,r1,r1 C align ...0000bbbbbbbb0
addq r1,r2,r1 C compute array offset
ldq_u r2,0(r1) C load quadword containing our 16 bits
bigend(`addq r1,1,r1')
extwl r2,r1,r2 C extract desired 16 bits
sll r2,48,r0
umulh r16,r0,r1
addq r16,r1,r3
stq r3,0(r30)
ldt f11,0(r30)
cvtqt f11,f1
mult f1,f10,f1
cvttqc f1,f1
stt f1,0(r30)
ldq r4,0(r30)
subq r0,r4,r0
umulh r16,r0,r1
mulq r16,r0,r2
addq r16,r1,r3
bge r3,$Loop2
$Loop1: addq r2,r16,r2
cmpult r2,r16,r1
addq r3,r1,r3
addq r0,1,r0
blt r3,$Loop1
$Loop2: cmpult r2,r16,r1
subq r0,1,r0
subq r3,r1,r3
subq r2,r16,r2
bge r3,$Loop2
$Lend:
lda r30,16(r30)
ret r31,(r26),1
EPILOGUE(mpn_invert_limb)
DATASTART($invtab)
.word 0xffff,0xffc0,0xff80,0xff40,0xff00,0xfec0,0xfe81,0xfe41
.word 0xfe01,0xfdc2,0xfd83,0xfd43,0xfd04,0xfcc5,0xfc86,0xfc46
.word 0xfc07,0xfbc8,0xfb8a,0xfb4b,0xfb0c,0xfacd,0xfa8e,0xfa50
.word 0xfa11,0xf9d3,0xf994,0xf956,0xf918,0xf8d9,0xf89b,0xf85d
.word 0xf81f,0xf7e1,0xf7a3,0xf765,0xf727,0xf6ea,0xf6ac,0xf66e
.word 0xf631,0xf5f3,0xf5b6,0xf578,0xf53b,0xf4fd,0xf4c0,0xf483
.word 0xf446,0xf409,0xf3cc,0xf38f,0xf352,0xf315,0xf2d8,0xf29c
.word 0xf25f,0xf222,0xf1e6,0xf1a9,0xf16d,0xf130,0xf0f4,0xf0b8
.word 0xf07c,0xf03f,0xf003,0xefc7,0xef8b,0xef4f,0xef14,0xeed8
.word 0xee9c,0xee60,0xee25,0xede9,0xedae,0xed72,0xed37,0xecfb
.word 0xecc0,0xec85,0xec4a,0xec0e,0xebd3,0xeb98,0xeb5d,0xeb22
.word 0xeae8,0xeaad,0xea72,0xea37,0xe9fd,0xe9c2,0xe988,0xe94d
.word 0xe913,0xe8d8,0xe89e,0xe864,0xe829,0xe7ef,0xe7b5,0xe77b
.word 0xe741,0xe707,0xe6cd,0xe694,0xe65a,0xe620,0xe5e6,0xe5ad
.word 0xe573,0xe53a,0xe500,0xe4c7,0xe48d,0xe454,0xe41b,0xe3e2
.word 0xe3a9,0xe370,0xe336,0xe2fd,0xe2c5,0xe28c,0xe253,0xe21a
.word 0xe1e1,0xe1a9,0xe170,0xe138,0xe0ff,0xe0c7,0xe08e,0xe056
.word 0xe01e,0xdfe5,0xdfad,0xdf75,0xdf3d,0xdf05,0xdecd,0xde95
.word 0xde5d,0xde25,0xdded,0xddb6,0xdd7e,0xdd46,0xdd0f,0xdcd7
.word 0xdca0,0xdc68,0xdc31,0xdbf9,0xdbc2,0xdb8b,0xdb54,0xdb1d
.word 0xdae6,0xdaae,0xda78,0xda41,0xda0a,0xd9d3,0xd99c,0xd965
.word 0xd92f,0xd8f8,0xd8c1,0xd88b,0xd854,0xd81e,0xd7e8,0xd7b1
.word 0xd77b,0xd745,0xd70e,0xd6d8,0xd6a2,0xd66c,0xd636,0xd600
.word 0xd5ca,0xd594,0xd55f,0xd529,0xd4f3,0xd4bd,0xd488,0xd452
.word 0xd41d,0xd3e7,0xd3b2,0xd37c,0xd347,0xd312,0xd2dd,0xd2a7
.word 0xd272,0xd23d,0xd208,0xd1d3,0xd19e,0xd169,0xd134,0xd100
.word 0xd0cb,0xd096,0xd061,0xd02d,0xcff8,0xcfc4,0xcf8f,0xcf5b
.word 0xcf26,0xcef2,0xcebe,0xce89,0xce55,0xce21,0xcded,0xcdb9
.word 0xcd85,0xcd51,0xcd1d,0xcce9,0xccb5,0xcc81,0xcc4e,0xcc1a
.word 0xcbe6,0xcbb3,0xcb7f,0xcb4c,0xcb18,0xcae5,0xcab1,0xca7e
.word 0xca4b,0xca17,0xc9e4,0xc9b1,0xc97e,0xc94b,0xc918,0xc8e5
.word 0xc8b2,0xc87f,0xc84c,0xc819,0xc7e7,0xc7b4,0xc781,0xc74f
.word 0xc71c,0xc6e9,0xc6b7,0xc684,0xc652,0xc620,0xc5ed,0xc5bb
.word 0xc589,0xc557,0xc524,0xc4f2,0xc4c0,0xc48e,0xc45c,0xc42a
.word 0xc3f8,0xc3c7,0xc395,0xc363,0xc331,0xc300,0xc2ce,0xc29c
.word 0xc26b,0xc239,0xc208,0xc1d6,0xc1a5,0xc174,0xc142,0xc111
.word 0xc0e0,0xc0af,0xc07e,0xc04d,0xc01c,0xbfeb,0xbfba,0xbf89
.word 0xbf58,0xbf27,0xbef6,0xbec5,0xbe95,0xbe64,0xbe33,0xbe03
.word 0xbdd2,0xbda2,0xbd71,0xbd41,0xbd10,0xbce0,0xbcb0,0xbc80
.word 0xbc4f,0xbc1f,0xbbef,0xbbbf,0xbb8f,0xbb5f,0xbb2f,0xbaff
.word 0xbacf,0xba9f,0xba6f,0xba40,0xba10,0xb9e0,0xb9b1,0xb981
.word 0xb951,0xb922,0xb8f2,0xb8c3,0xb894,0xb864,0xb835,0xb806
.word 0xb7d6,0xb7a7,0xb778,0xb749,0xb71a,0xb6eb,0xb6bc,0xb68d
.word 0xb65e,0xb62f,0xb600,0xb5d1,0xb5a2,0xb574,0xb545,0xb516
.word 0xb4e8,0xb4b9,0xb48a,0xb45c,0xb42e,0xb3ff,0xb3d1,0xb3a2
.word 0xb374,0xb346,0xb318,0xb2e9,0xb2bb,0xb28d,0xb25f,0xb231
.word 0xb203,0xb1d5,0xb1a7,0xb179,0xb14b,0xb11d,0xb0f0,0xb0c2
.word 0xb094,0xb067,0xb039,0xb00b,0xafde,0xafb0,0xaf83,0xaf55
.word 0xaf28,0xaefb,0xaecd,0xaea0,0xae73,0xae45,0xae18,0xadeb
.word 0xadbe,0xad91,0xad64,0xad37,0xad0a,0xacdd,0xacb0,0xac83
.word 0xac57,0xac2a,0xabfd,0xabd0,0xaba4,0xab77,0xab4a,0xab1e
.word 0xaaf1,0xaac5,0xaa98,0xaa6c,0xaa40,0xaa13,0xa9e7,0xa9bb
.word 0xa98e,0xa962,0xa936,0xa90a,0xa8de,0xa8b2,0xa886,0xa85a
.word 0xa82e,0xa802,0xa7d6,0xa7aa,0xa77e,0xa753,0xa727,0xa6fb
.word 0xa6d0,0xa6a4,0xa678,0xa64d,0xa621,0xa5f6,0xa5ca,0xa59f
.word 0xa574,0xa548,0xa51d,0xa4f2,0xa4c6,0xa49b,0xa470,0xa445
.word 0xa41a,0xa3ef,0xa3c4,0xa399,0xa36e,0xa343,0xa318,0xa2ed
.word 0xa2c2,0xa297,0xa26d,0xa242,0xa217,0xa1ed,0xa1c2,0xa197
.word 0xa16d,0xa142,0xa118,0xa0ed,0xa0c3,0xa098,0xa06e,0xa044
.word 0xa01a,0x9fef,0x9fc5,0x9f9b,0x9f71,0x9f47,0x9f1c,0x9ef2
.word 0x9ec8,0x9e9e,0x9e74,0x9e4b,0x9e21,0x9df7,0x9dcd,0x9da3
.word 0x9d79,0x9d50,0x9d26,0x9cfc,0x9cd3,0x9ca9,0x9c80,0x9c56
.word 0x9c2d,0x9c03,0x9bda,0x9bb0,0x9b87,0x9b5e,0x9b34,0x9b0b
.word 0x9ae2,0x9ab9,0x9a8f,0x9a66,0x9a3d,0x9a14,0x99eb,0x99c2
.word 0x9999,0x9970,0x9947,0x991e,0x98f6,0x98cd,0x98a4,0x987b
.word 0x9852,0x982a,0x9801,0x97d8,0x97b0,0x9787,0x975f,0x9736
.word 0x970e,0x96e5,0x96bd,0x9695,0x966c,0x9644,0x961c,0x95f3
.word 0x95cb,0x95a3,0x957b,0x9553,0x952b,0x9503,0x94db,0x94b3
.word 0x948b,0x9463,0x943b,0x9413,0x93eb,0x93c3,0x939b,0x9374
.word 0x934c,0x9324,0x92fd,0x92d5,0x92ad,0x9286,0x925e,0x9237
.word 0x920f,0x91e8,0x91c0,0x9199,0x9172,0x914a,0x9123,0x90fc
.word 0x90d4,0x90ad,0x9086,0x905f,0x9038,0x9011,0x8fea,0x8fc3
.word 0x8f9c,0x8f75,0x8f4e,0x8f27,0x8f00,0x8ed9,0x8eb2,0x8e8b
.word 0x8e65,0x8e3e,0x8e17,0x8df1,0x8dca,0x8da3,0x8d7d,0x8d56
.word 0x8d30,0x8d09,0x8ce3,0x8cbc,0x8c96,0x8c6f,0x8c49,0x8c23
.word 0x8bfc,0x8bd6,0x8bb0,0x8b8a,0x8b64,0x8b3d,0x8b17,0x8af1
.word 0x8acb,0x8aa5,0x8a7f,0x8a59,0x8a33,0x8a0d,0x89e7,0x89c1
.word 0x899c,0x8976,0x8950,0x892a,0x8904,0x88df,0x88b9,0x8893
.word 0x886e,0x8848,0x8823,0x87fd,0x87d8,0x87b2,0x878d,0x8767
.word 0x8742,0x871d,0x86f7,0x86d2,0x86ad,0x8687,0x8662,0x863d
.word 0x8618,0x85f3,0x85ce,0x85a9,0x8583,0x855e,0x8539,0x8514
.word 0x84f0,0x84cb,0x84a6,0x8481,0x845c,0x8437,0x8412,0x83ee
.word 0x83c9,0x83a4,0x8380,0x835b,0x8336,0x8312,0x82ed,0x82c9
.word 0x82a4,0x8280,0x825b,0x8237,0x8212,0x81ee,0x81ca,0x81a5
.word 0x8181,0x815d,0x8138,0x8114,0x80f0,0x80cc,0x80a8,0x8084
.word 0x8060,0x803c,0x8018,0x7ff4,0x7fd0,0x7fac,0x7f88,0x7f64
.word 0x7f40,0x7f1c,0x7ef8,0x7ed4,0x7eb1,0x7e8d,0x7e69,0x7e45
.word 0x7e22,0x7dfe,0x7ddb,0x7db7,0x7d93,0x7d70,0x7d4c,0x7d29
.word 0x7d05,0x7ce2,0x7cbf,0x7c9b,0x7c78,0x7c55,0x7c31,0x7c0e
.word 0x7beb,0x7bc7,0x7ba4,0x7b81,0x7b5e,0x7b3b,0x7b18,0x7af5
.word 0x7ad2,0x7aaf,0x7a8c,0x7a69,0x7a46,0x7a23,0x7a00,0x79dd
.word 0x79ba,0x7997,0x7975,0x7952,0x792f,0x790c,0x78ea,0x78c7
.word 0x78a4,0x7882,0x785f,0x783c,0x781a,0x77f7,0x77d5,0x77b2
.word 0x7790,0x776e,0x774b,0x7729,0x7706,0x76e4,0x76c2,0x76a0
.word 0x767d,0x765b,0x7639,0x7617,0x75f5,0x75d2,0x75b0,0x758e
.word 0x756c,0x754a,0x7528,0x7506,0x74e4,0x74c2,0x74a0,0x747e
.word 0x745d,0x743b,0x7419,0x73f7,0x73d5,0x73b4,0x7392,0x7370
.word 0x734f,0x732d,0x730b,0x72ea,0x72c8,0x72a7,0x7285,0x7264
.word 0x7242,0x7221,0x71ff,0x71de,0x71bc,0x719b,0x717a,0x7158
.word 0x7137,0x7116,0x70f5,0x70d3,0x70b2,0x7091,0x7070,0x704f
.word 0x702e,0x700c,0x6feb,0x6fca,0x6fa9,0x6f88,0x6f67,0x6f46
.word 0x6f26,0x6f05,0x6ee4,0x6ec3,0x6ea2,0x6e81,0x6e60,0x6e40
.word 0x6e1f,0x6dfe,0x6dde,0x6dbd,0x6d9c,0x6d7c,0x6d5b,0x6d3a
.word 0x6d1a,0x6cf9,0x6cd9,0x6cb8,0x6c98,0x6c77,0x6c57,0x6c37
.word 0x6c16,0x6bf6,0x6bd6,0x6bb5,0x6b95,0x6b75,0x6b54,0x6b34
.word 0x6b14,0x6af4,0x6ad4,0x6ab4,0x6a94,0x6a73,0x6a53,0x6a33
.word 0x6a13,0x69f3,0x69d3,0x69b3,0x6993,0x6974,0x6954,0x6934
.word 0x6914,0x68f4,0x68d4,0x68b5,0x6895,0x6875,0x6855,0x6836
.word 0x6816,0x67f6,0x67d7,0x67b7,0x6798,0x6778,0x6758,0x6739
.word 0x6719,0x66fa,0x66db,0x66bb,0x669c,0x667c,0x665d,0x663e
.word 0x661e,0x65ff,0x65e0,0x65c0,0x65a1,0x6582,0x6563,0x6544
.word 0x6524,0x6505,0x64e6,0x64c7,0x64a8,0x6489,0x646a,0x644b
.word 0x642c,0x640d,0x63ee,0x63cf,0x63b0,0x6391,0x6373,0x6354
.word 0x6335,0x6316,0x62f7,0x62d9,0x62ba,0x629b,0x627c,0x625e
.word 0x623f,0x6221,0x6202,0x61e3,0x61c5,0x61a6,0x6188,0x6169
.word 0x614b,0x612c,0x610e,0x60ef,0x60d1,0x60b3,0x6094,0x6076
.word 0x6058,0x6039,0x601b,0x5ffd,0x5fdf,0x5fc0,0x5fa2,0x5f84
.word 0x5f66,0x5f48,0x5f2a,0x5f0b,0x5eed,0x5ecf,0x5eb1,0x5e93
.word 0x5e75,0x5e57,0x5e39,0x5e1b,0x5dfd,0x5de0,0x5dc2,0x5da4
.word 0x5d86,0x5d68,0x5d4a,0x5d2d,0x5d0f,0x5cf1,0x5cd3,0x5cb6
.word 0x5c98,0x5c7a,0x5c5d,0x5c3f,0x5c21,0x5c04,0x5be6,0x5bc9
.word 0x5bab,0x5b8e,0x5b70,0x5b53,0x5b35,0x5b18,0x5afb,0x5add
.word 0x5ac0,0x5aa2,0x5a85,0x5a68,0x5a4b,0x5a2d,0x5a10,0x59f3
.word 0x59d6,0x59b8,0x599b,0x597e,0x5961,0x5944,0x5927,0x590a
.word 0x58ed,0x58d0,0x58b3,0x5896,0x5879,0x585c,0x583f,0x5822
.word 0x5805,0x57e8,0x57cb,0x57ae,0x5791,0x5775,0x5758,0x573b
.word 0x571e,0x5702,0x56e5,0x56c8,0x56ac,0x568f,0x5672,0x5656
.word 0x5639,0x561c,0x5600,0x55e3,0x55c7,0x55aa,0x558e,0x5571
.word 0x5555,0x5538,0x551c,0x5500,0x54e3,0x54c7,0x54aa,0x548e
.word 0x5472,0x5456,0x5439,0x541d,0x5401,0x53e5,0x53c8,0x53ac
.word 0x5390,0x5374,0x5358,0x533c,0x5320,0x5304,0x52e8,0x52cb
.word 0x52af,0x5293,0x5277,0x525c,0x5240,0x5224,0x5208,0x51ec
.word 0x51d0,0x51b4,0x5198,0x517c,0x5161,0x5145,0x5129,0x510d
.word 0x50f2,0x50d6,0x50ba,0x509f,0x5083,0x5067,0x504c,0x5030
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.word 0x07b9,0x07a8,0x0798,0x0787,0x0776,0x0765,0x0754,0x0743
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.word 0x038c,0x037b,0x036b,0x035b,0x034a,0x033a,0x0329,0x0319
.word 0x0309,0x02f8,0x02e8,0x02d7,0x02c7,0x02b7,0x02a6,0x0296
.word 0x0286,0x0275,0x0265,0x0255,0x0245,0x0234,0x0224,0x0214
.word 0x0204,0x01f3,0x01e3,0x01d3,0x01c3,0x01b2,0x01a2,0x0192
.word 0x0182,0x0172,0x0161,0x0151,0x0141,0x0131,0x0121,0x0111
.word 0x0101,0x00f0,0x00e0,0x00d0,0x00c0,0x00b0,0x00a0,0x0090
.word 0x0080,0x0070,0x0060,0x0050,0x0040,0x0030,0x0020,0x0010
DATAEND()
ASM_END()
|
