| Index: gcc/gmp/mpn/alpha/README
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| diff --git a/gcc/gmp/mpn/alpha/README b/gcc/gmp/mpn/alpha/README
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| index 3578c53b856be53b09740e414ec69c423dc3c8d6..0000000000000000000000000000000000000000
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| -Copyright 1996, 1997, 1999, 2000, 2001, 2002, 2003, 2004, 2005 Free Software
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| -Foundation, Inc.
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| -
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| -This file is part of the GNU MP Library.
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| -
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| -The GNU MP Library is free software; you can redistribute it and/or modify it
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| -under the terms of the GNU Lesser General Public License as published by the
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| -Free Software Foundation; either version 3 of the License, or (at your
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| -option) any later version.
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| -
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| -The GNU MP Library is distributed in the hope that it will be useful, but
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| -WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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| -FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License
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| -for more details.
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| -
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| -You should have received a copy of the GNU Lesser General Public License along
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| -with the GNU MP Library. If not, see http://www.gnu.org/licenses/.
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| -
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| -
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| -
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| -
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| -
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| -This directory contains mpn functions optimized for DEC Alpha processors.
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| -
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| -ALPHA ASSEMBLY RULES AND REGULATIONS
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| -
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| -The `.prologue N' pseudo op marks the end of instruction that needs special
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| -handling by unwinding. It also says whether $27 is really needed for computing
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| -the gp. The `.mask M' pseudo op says which registers are saved on the stack,
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| -and at what offset in the frame.
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| -
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| -Cray T3 code is very very different...
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| -
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| -"$6" / "$f6" etc is the usual syntax for registers, but on Unicos instead "r6"
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| -/ "f6" is required. We use the "r6" / "f6" forms, and have m4 defines expand
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| -them to "$6" or "$f6" where necessary.
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| -
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| -"0x" introduces a hex constant in gas and DEC as, but on Unicos "^X" is
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| -required. The X() macro accomodates this difference.
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| -
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| -"cvttqc" is required by DEC as, "cvttq/c" is required by Unicos, and gas will
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| -accept either. We use cvttqc and have an m4 define expand to cvttq/c where
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| -necessary.
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| -
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| -"not" as an alias for "ornot r31, ..." is available in gas and DEC as, but not
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| -the Unicos assembler. The full "ornot" must be used.
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| -
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| -"unop" is not available in Unicos. We make an m4 define to the usual "ldq_u
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| -r31,0(r30)", and in fact use that define on all systems since it comes out the
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| -same.
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| -
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| -"!literal!123" etc explicit relocations as per Tru64 4.0 are apparently not
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| -available in older alpha assemblers (including gas prior to 2.12), according to
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| -the GCC manual, so the assembler macro forms must be used (eg. ldgp).
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| -
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| -
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| -
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| -RELEVANT OPTIMIZATION ISSUES
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| -
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| -EV4
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| -
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| -1. This chip has very limited store bandwidth. The on-chip L1 cache is write-
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| - through, and a cache line is transfered from the store buffer to the off-
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| - chip L2 in as much 15 cycles on most systems. This delay hurts mpn_add_n,
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| - mpn_sub_n, mpn_lshift, and mpn_rshift.
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| -
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| -2. Pairing is possible between memory instructions and integer arithmetic
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| - instructions.
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| -
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| -3. mulq and umulh are documented to have a latency of 23 cycles, but 2 of these
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| - cycles are pipelined. Thus, multiply instructions can be issued at a rate
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| - of one each 21st cycle.
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| -
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| -EV5
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| -
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| -1. The memory bandwidth of this chip is good, both for loads and stores. The
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| - L1 cache can handle two loads or one store per cycle, but two cycles after a
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| - store, no ld can issue.
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| -
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| -2. mulq has a latency of 12 cycles and an issue rate of 1 each 8th cycle.
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| - umulh has a latency of 14 cycles and an issue rate of 1 each 10th cycle.
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| - (Note that published documentation gets these numbers slightly wrong.)
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| -
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| -3. mpn_add_n. With 4-fold unrolling, we need 37 instructions, whereof 12
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| - are memory operations. This will take at least
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| - ceil(37/2) [dual issue] + 1 [taken branch] = 19 cycles
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| - We have 12 memory cycles, plus 4 after-store conflict cycles, or 16 data
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| - cache cycles, which should be completely hidden in the 19 issue cycles.
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| - The computation is inherently serial, with these dependencies:
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| -
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| - ldq ldq
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| - \ /\
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| - (or) addq |
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| - |\ / \ |
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| - | addq cmpult
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| - \ | |
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| - cmpult |
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| - \ /
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| - or
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| -
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| - I.e., 3 operations are needed between carry-in and carry-out, making 12
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| - cycles the absolute minimum for the 4 limbs. We could replace the `or' with
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| - a cmoveq/cmovne, which could issue one cycle earlier that the `or', but that
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| - might waste a cycle on EV4. The total depth remain unaffected, since cmov
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| - has a latency of 2 cycles.
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| -
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| - addq
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| - / \
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| - addq cmpult
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| - | \
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| - cmpult -> cmovne
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| -
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| - Montgomery has a slightly different way of computing carry that requires one
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| - less instruction, but has depth 4 (instead of the current 3). Since the code
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| - is currently instruction issue bound, Montgomery's idea should save us 1/2
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| - cycle per limb, or bring us down to a total of 17 cycles or 4.25 cycles/limb.
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| - Unfortunately, this method will not be good for the EV6.
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| -
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| -4. addmul_1 and friends: We previously had a scheme for splitting the single-
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| - limb operand in 21-bits chunks and the multi-limb operand in 32-bit chunks,
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| - and then use FP operations for every 2nd multiply, and integer operations
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| - for every 2nd multiply.
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| -
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| - But it seems much better to split the single-limb operand in 16-bit chunks,
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| - since we save many integer shifts and adds that way. See powerpc64/README
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| - for some more details.
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| -
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| -EV6
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| -
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| -Here we have a really parallel pipeline, capable of issuing up to 4 integer
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| -instructions per cycle. In actual practice, it is never possible to sustain
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| -more than 3.5 integer insns/cycle due to rename register shortage. One integer
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| -multiply instruction can issue each cycle. To get optimal speed, we need to
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| -pretend we are vectorizing the code, i.e., minimize the depth of recurrences.
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| -
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| -There are two dependencies to watch out for. 1) Address arithmetic
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| -dependencies, and 2) carry propagation dependencies.
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| -
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| -We can avoid serializing due to address arithmetic by unrolling loops, so that
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| -addresses don't depend heavily on an index variable. Avoiding serializing
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| -because of carry propagation is trickier; the ultimate performance of the code
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| -will be determined of the number of latency cycles it takes from accepting
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| -carry-in to a vector point until we can generate carry-out.
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| -
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| -Most integer instructions can execute in either the L0, U0, L1, or U1
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| -pipelines. Shifts only execute in U0 and U1, and multiply only in U1.
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| -
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| -CMOV instructions split into two internal instructions, CMOV1 and CMOV2. CMOV
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| -split the mapping process (see pg 2-26 in cmpwrgd.pdf), suggesting the CMOV
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| -should always be placed as the last instruction of an aligned 4 instruction
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| -block, or perhaps simply avoided.
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| -
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| -Perhaps the most important issue is the latency between the L0/U0 and L1/U1
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| -clusters; a result obtained on either cluster has an extra cycle of latency for
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| -consumers in the opposite cluster. Because of the dynamic nature of the
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| -implementation, it is hard to predict where an instruction will execute.
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| -
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| -
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| -
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| -REFERENCES
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| -
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| -"Alpha Architecture Handbook", version 4, Compaq, October 1998, order number
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| -EC-QD2KC-TE.
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| -
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| -"Alpha 21164 Microprocessor Hardware Reference Manual", Compaq, December 1998,
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| -order number EC-QP99C-TE.
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| -
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| -"Alpha 21264/EV67 Microprocessor Hardware Reference Manual", revision 1.4,
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| -Compaq, September 2000, order number DS-0028B-TE.
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| -
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| -"Compiler Writer's Guide for the Alpha 21264", Compaq, June 1999, order number
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| -EC-RJ66A-TE.
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| -
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| -All of the above are available online from
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| -
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| - http://ftp.digital.com/pub/Digital/info/semiconductor/literature/dsc-library.html
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| - ftp://ftp.compaq.com/pub/products/alphaCPUdocs
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| -
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| -"Tru64 Unix Assembly Language Programmer's Guide", Compaq, March 1996, part
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| -number AA-PS31D-TE.
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| -
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| -"Digital UNIX Calling Standard for Alpha Systems", Digital Equipment Corp,
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| -March 1996, part number AA-PY8AC-TE.
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| -
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| -The above are available online,
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| -
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| - http://h30097.www3.hp.com/docs/pub_page/V40F_DOCS.HTM
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| -
|
| -(Dunno what h30097 means in this URL, but if it moves try searching for "tru64
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| -online documentation" from the main www.hp.com page.)
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| -
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| -
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| -
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| -----------------
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| -Local variables:
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| -mode: text
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| -fill-column: 79
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| -End:
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|