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authorThomas Voss <mail@thomasvoss.com> 2024-06-21 23:36:36 +0200
committerThomas Voss <mail@thomasvoss.com> 2024-06-21 23:42:26 +0200
commita89a14ef5da44684a16b204e7a70460cc8c4922a (patch)
treeb23b4c6b155977909ef508fdae2f48d33d802813 /vendor/gmp-6.3.0/mpn/ia64/README
parent1db63fcedab0b288820d66e100b1877b1a5a8851 (diff)
Basic constant folding implementation
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+Copyright 2000-2005 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library.
+
+The GNU MP Library is free software; you can redistribute it and/or modify
+it under the terms of either:
+
+ * the GNU Lesser General Public License as published by the Free
+ Software Foundation; either version 3 of the License, or (at your
+ option) any later version.
+
+or
+
+ * the GNU General Public License as published by the Free Software
+ Foundation; either version 2 of the License, or (at your option) any
+ later version.
+
+or both in parallel, as here.
+
+The GNU MP Library is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received copies of the GNU General Public License and the
+GNU Lesser General Public License along with the GNU MP Library. If not,
+see https://www.gnu.org/licenses/.
+
+
+
+ IA-64 MPN SUBROUTINES
+
+
+This directory contains mpn functions for the IA-64 architecture.
+
+
+CODE ORGANIZATION
+
+ mpn/ia64 itanium-2, and generic ia64
+
+The code here has been optimized primarily for Itanium 2. Very few Itanium 1
+chips were ever sold, and Itanium 2 is more powerful, so the latter is what
+we concentrate on.
+
+
+
+CHIP NOTES
+
+The IA-64 ISA keeps instructions three and three in 128 bit bundles.
+Programmers/compilers need to put explicit breaks `;;' when there are WAW or
+RAW dependencies, with some notable exceptions. Such "breaks" are typically
+at the end of a bundle, but can be put between operations within some bundle
+types too.
+
+The Itanium 1 and Itanium 2 implementations can under ideal conditions
+execute two bundles per cycle. The Itanium 1 allows 4 of these instructions
+to do integer operations, while the Itanium 2 allows all 6 to be integer
+operations.
+
+Taken cloop branches seem to insert a bubble into the pipeline most of the
+time on Itanium 1.
+
+Loads to the fp registers bypass the L1 cache and thus get extremely long
+latencies, 9 cycles on the Itanium 1 and 6 cycles on the Itanium 2.
+
+The software pipeline stuff using br.ctop instruction causes delays, since
+many issue slots are taken up by instructions with zero predicates, and
+since many extra instructions are needed to set things up. These features
+are clearly designed for code density, not speed.
+
+Misc pipeline limitations (Itanium 1):
+* The getf.sig instruction can only execute in M0.
+* At most four integer instructions/cycle.
+* Nops take up resources like any plain instructions.
+
+Misc pipeline limitations (Itanium 2):
+* The getf.sig instruction can only execute in M0.
+* Nops take up resources like any plain instructions.
+
+
+ASSEMBLY SYNTAX
+
+.align pads with nops in a text segment, but gas 2.14 and earlier
+incorrectly byte-swaps its nop bundle in big endian mode (eg. hpux), making
+it come out as break instructions. We use the ALIGN() macro in
+mpn/ia64/ia64-defs.m4 when it might be executed across. That macro
+suppresses any .align if the problem is detected by configure. Lack of
+alignment might hurt performance but will at least be correct.
+
+foo:: to create a global symbol is not accepted by gas. Use separate
+".global foo" and "foo:" instead.
+
+.global is the standard global directive. gas accepts .globl, but hpux "as"
+doesn't.
+
+.proc / .endp generates the appropriate .type and .size information for ELF,
+so the latter directives don't need to be given explicitly.
+
+.pred.rel "mutex"... is standard for annotating predicate register
+relationships. gas also accepts .pred.rel.mutex, but hpux "as" doesn't.
+
+.pred directives can't be put on a line with a label, like
+".Lfoo: .pred ...", the HP assembler on HP-UX 11.23 rejects that.
+gas is happy with it, and past versions of HP had seemed ok.
+
+// is the standard comment sequence, but we prefer "C" since it inhibits m4
+macro expansion. See comments in ia64-defs.m4.
+
+
+REGISTER USAGE
+
+Special:
+ r0: constant 0
+ r1: global pointer (gp)
+ r8: return value
+ r12: stack pointer (sp)
+ r13: thread pointer (tp)
+Caller-saves: r8-r11 r14-r31 f6-f15 f32-f127
+Caller-saves but rotating: r32-
+
+
+================================================================
+mpn_add_n, mpn_sub_n:
+
+The current code runs at 1.25 c/l on Itanium 2.
+
+================================================================
+mpn_mul_1:
+
+The current code runs at 2 c/l on Itanium 2.
+
+Using a blocked approach, working off of 4 separate places in the operands,
+one could make use of the xma accumulation, and approach 1 c/l.
+
+ ldf8 [up]
+ xma.l
+ xma.hu
+ stf8 [wrp]
+
+================================================================
+mpn_addmul_1:
+
+The current code runs at 2 c/l on Itanium 2.
+
+It seems possible to use a blocked approach, as with mpn_mul_1. We should
+read rp[] to integer registers, allowing for just one getf.sig per cycle.
+
+ ld8 [rp]
+ ldf8 [up]
+ xma.l
+ xma.hu
+ getf.sig
+ add+add+cmp+cmp
+ st8 [wrp]
+
+These 10 instructions can be scheduled to approach 1.667 cycles, and with
+the 4 cycle latency of xma, this means we need at least 3 blocks. Using
+ldfp8 we could approach 1.583 c/l.
+
+================================================================
+mpn_submul_1:
+
+The current code runs at 2.25 c/l on Itanium 2. Getting to 2 c/l requires
+ldfp8 with all alignment headache that implies.
+
+================================================================
+mpn_addmul_N
+
+For best speed, we need to give up using mpn_addmul_2 as the main multiply
+building block, and instead take multiple v limbs per loop. For the Itanium
+1, we need to take about 8 limbs at a time for full speed. For the Itanium
+2, something like mpn_addmul_4 should be enough.
+
+The add+cmp+cmp+add we use on the other codes is optimal for shortening
+recurrencies (1 cycle) but the sequence takes up 4 execution slots. When
+recurrency depth is not critical, a more standard 3-cycle add+cmp+add is
+better.
+
+/* First load the 8 values from v */
+ ldfp8 v0, v1 = [r35], 16;;
+ ldfp8 v2, v3 = [r35], 16;;
+ ldfp8 v4, v5 = [r35], 16;;
+ ldfp8 v6, v7 = [r35], 16;;
+
+/* In the inner loop, get a new U limb and store a result limb. */
+ mov lc = un
+Loop: ldf8 u0 = [r33], 8
+ ld8 r0 = [r32]
+ xma.l lp0 = v0, u0, hp0
+ xma.hu hp0 = v0, u0, hp0
+ xma.l lp1 = v1, u0, hp1
+ xma.hu hp1 = v1, u0, hp1
+ xma.l lp2 = v2, u0, hp2
+ xma.hu hp2 = v2, u0, hp2
+ xma.l lp3 = v3, u0, hp3
+ xma.hu hp3 = v3, u0, hp3
+ xma.l lp4 = v4, u0, hp4
+ xma.hu hp4 = v4, u0, hp4
+ xma.l lp5 = v5, u0, hp5
+ xma.hu hp5 = v5, u0, hp5
+ xma.l lp6 = v6, u0, hp6
+ xma.hu hp6 = v6, u0, hp6
+ xma.l lp7 = v7, u0, hp7
+ xma.hu hp7 = v7, u0, hp7
+ getf.sig l0 = lp0
+ getf.sig l1 = lp1
+ getf.sig l2 = lp2
+ getf.sig l3 = lp3
+ getf.sig l4 = lp4
+ getf.sig l5 = lp5
+ getf.sig l6 = lp6
+ add+cmp+add xx, l0, r0
+ add+cmp+add acc0, acc1, l1
+ add+cmp+add acc1, acc2, l2
+ add+cmp+add acc2, acc3, l3
+ add+cmp+add acc3, acc4, l4
+ add+cmp+add acc4, acc5, l5
+ add+cmp+add acc5, acc6, l6
+ getf.sig acc6 = lp7
+ st8 [r32] = xx, 8
+ br.cloop Loop
+
+ 49 insn at max 6 insn/cycle: 8.167 cycles/limb8
+ 11 memops at max 2 memops/cycle: 5.5 cycles/limb8
+ 16 fpops at max 2 fpops/cycle: 8 cycles/limb8
+ 21 intops at max 4 intops/cycle: 5.25 cycles/limb8
+ 11+21 memops+intops at max 4/cycle 8 cycles/limb8
+
+================================================================
+mpn_lshift, mpn_rshift
+
+The current code runs at 1 cycle/limb on Itanium 2.
+
+Using 63 separate loops, we could use the double-word shrp instruction.
+That instruction has a plain single-cycle latency. We need 63 loops since
+this instruction only accept immediate count. That would lead to a somewhat
+silly code size, but the speed would be 0.75 c/l on Itanium 2 (by using shrp
+each cycle plus shl/shr going down I1 for a further limb every second
+cycle).
+
+================================================================
+mpn_copyi, mpn_copyd
+
+The current code runs at 0.5 c/l on Itanium 2. But that is just for L1
+cache hit. The 4-way unrolled loop takes just 2 cycles, and thus load-use
+scheduling isn't great. It might be best to actually use modulo scheduled
+loops, since that will allow us to do better load-use scheduling without too
+much unrolling.
+
+Depending on size or operand alignment, we get 1 c/l or 0.5 c/l on Itanium
+2, according to tune/speed. Cache bank conflicts?
+
+
+
+REFERENCES
+
+Intel Itanium Architecture Software Developer's Manual, volumes 1 to 3,
+Intel document 245317-004, 245318-004, 245319-004 October 2002. Volume 1
+includes an Itanium optimization guide.
+
+Intel Itanium Processor-specific Application Binary Interface (ABI), Intel
+document 245370-003, May 2001. Describes C type sizes, dynamic linking,
+etc.
+
+Intel Itanium Architecture Assembly Language Reference Guide, Intel document
+248801-004, 2000-2002. Describes assembly instruction syntax and other
+directives.
+
+Itanium Software Conventions and Runtime Architecture Guide, Intel document
+245358-003, May 2001. Describes calling conventions, including stack
+unwinding requirements.
+
+Intel Itanium Processor Reference Manual for Software Optimization, Intel
+document 245473-003, November 2001.
+
+Intel Itanium-2 Processor Reference Manual for Software Development and
+Optimization, Intel document 251110-003, May 2004.
+
+All the above documents can be found online at
+
+ http://developer.intel.com/design/itanium/manuals.htm