add SIMD comparison section

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# Variable-width Variable-packed SIMD / Simple-V / Parallelism Extension Proposal

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# Summary

Key insight: Simple-V is intended as an abstraction layer to provide
a consistent "API" to parallelisation of existing *and future* operations.
*Actual* internal hardware-level parallelism is *not* required, such
that Simple-V may be viewed as providing a "compact" or "consolidated"
means of issuing multiple near-identical arithmetic instructions to an
instruction queue (FILO), pending execution.

*Actual* parallelism, if added independently of Simple-V in the form
of Out-of-order restructuring (including parallel ALU lanes) or VLIW
implementations, or SIMD, or anything else, would then benefit *if*
Simple-V was added on top.

# Introduction

This proposal exists so as to be able to satisfy several disparate
requirements: power-conscious, area-conscious, and performance-conscious
designs all pull an ISA and its implementation in different conflicting
directions, as do the specific intended uses for any given implementation.

Additionally, the existing P (SIMD) proposal and the V (Vector) proposals,
whilst each extremely powerful in their own right and clearly desirable,
are also:

* Clearly independent in their origins (Cray and AndesStar v3 respectively)
  so need work to adapt to the RISC-V ethos and paradigm
* Are sufficiently large so as to make adoption (and exploration for
  analysis and review purposes) prohibitively expensive
* Both contain partial duplication of pre-existing RISC-V instructions
  (an undesirable characteristic)
* Both have independent and disparate methods for introducing parallelism
  at the instruction level.
* Both require that their respective parallelism paradigm be implemented
  along-side and integral to their respective functionality *or not at all*.
* Both independently have methods for introducing parallelism that
  could, if separated, benefit
  *other areas of RISC-V not just DSP or Floating-point respectively*.

Therefore it makes a huge amount of sense to have a means and method
of introducing instruction parallelism in a flexible way that provides
implementors with the option to choose exactly where they wish to offer
performance improvements and where they wish to optimise for power
and/or area (and if that can be offered even on a per-operation basis that
would provide even more flexibility).

Additionally it makes sense to *split out* the parallelism inherent within
each of P and V, and to see if each of P and V then, in *combination* with
a "best-of-both" parallelism extension, could be added on *on top* of
this proposal, to topologically provide the exact same functionality of
each of P and V.

Furthermore, an additional goal of this proposal is to reduce the number
of opcodes utilised by each of P and V as they currently stand, leveraging
existing RISC-V opcodes where possible, and also potentially allowing
P and V to make use of Compressed Instructions as a result.

**TODO**: reword this to better suit this document:

Having looked at both P and V as they stand, they're _both_ very much
"separate engines" that, despite both their respective merits and
extremely powerful features, don't really cleanly fit into the RV design
ethos (or the flexible extensibility) and, as such, are both in danger
of not being widely adopted.  I'm inclined towards recommending:

* splitting out the DSP aspects of P-SIMD to create a single-issue DSP
* splitting out the polymorphism, esoteric data types (GF, complex
  numbers) and unusual operations of V to create a single-issue "Esoteric
  Floating-Point" extension
* splitting out the loop-aspects, vector aspects and data-width aspects
  of both P and V to a *new* "P-SIMD / Simple-V" and requiring that they
  apply across *all* Extensions, whether those be DSP, M, Base, V, P -
  everything.

**TODO**: propose overflow registers be actually one of the integer regs
(flowing to multiple regs).

**TODO**: propose "mask" (predication) registers likewise.  combination with
standard RV instructions and overflow registers extremely powerful

## CSRs marking registers as Vector

A 32-bit CSR would be needed (1 bit per integer register) to indicate
whether a register was, if referred to, implicitly to be treated as
a vector.

A second 32-bit CSR would be needed (1 bit per floating-point register)
to indicate whether a floating-point register was to be treated as a
vector.

In this way any standard (current or future) operation involving
register operands may detect if the operation is to be vector-vector,
vector-scalar or scalar-scalar (standard) simply through a single
bit test.

## CSR vector-length and CSR SIMD packed-bitwidth

**TODO** analyse each of these:

* splitting out the loop-aspects, vector aspects and data-width aspects
* integer reg 0 *and* fp reg0 share CSR vlen 0 *and* CSR packed-bitwidth 0
* integer reg 1 *and* fp reg1 share CSR vlen 1 *and* CSR packed-bitwidth 1
* ....
* .... 

instead:

* CSR vlen 0 *and* CSR packed-bitwidth 0 register contain extra bits
  specifying an *INDEX* of WHICH int/fp register they refer to
* CSR vlen 1 *and* CSR packed-bitwidth 1 register contain extra bits
  specifying an *INDEX* of WHICH int/fp register they refer to
* ...
* ...

Have to be very *very* careful about not implementing too few of those
(or too many).  Assess implementation impact on decode latency.  Is it
worth it?

Implementation of the latter:

Operation involving (referring to) register M:

    bitwidth = default # default for opcode?
    vectorlen = 1 # scalar
    
    for (o = 0, o < 2, o++)
      if (CSR-Vector_registernum[o] == M)
          bitwidth = CSR-Vector_bitwidth[o]
          vectorlen = CSR-Vector_len[o]
          break

and for the former it would simply be:

    bitwidth = CSR-Vector_bitwidth[M]
    vectorlen = CSR-Vector_len[M]

Alternatives:

* One single "global" vector-length CSR

## Stride

**TODO**: propose two LOAD/STORE offset CSRs, which mark a particular
register as being "if you use this reg in LOAD/STORE, use the offset
amount CSRoffsN (N=0,1) instead of treating LOAD/STORE as contiguous".
can be used for matrix spanning.

> For LOAD/STORE, could a better option be to interpret the offset in the 
> opcode as a stride instead, so "LOAD t3, 12(t2)" would, if t3 is 
> configured as a length-4 vector base, result in t3 = *t2, t4 = *(t2+12), 
> t5 = *(t2+24), t6 = *(t2+32)?  Perhaps include a bit in the 
> vector-control CSRs to select between offset-as-stride and unit-stride 
> memory accesses? 

So there would be an instruction like this:

| SETOFF | On=rN | OBank={float|int} | Smode={offs|unit} | OFFn=rM |
| opcode | 5 bit | 1 bit             | 1 bit             | 5 bit, OFFn=XLEN |


which would mean:

* CSR-Offset register n <= (float|int) register number N
* CSR-Offset Stride-mode = offset or unit
* CSR-Offset amount register n = contents of register M

LOAD rN, ldoffs(rM) would then be (assuming packed bit-width not set):

    offs = 0
    stride = 1
    vector-len = CSR-Vector-length register N
  
    for (o = 0, o < 2, o++)
      if (CSR-Offset register o == M)
          offs = CSR-Offset amount register o
          if CSR-Offset Stride-mode == offset:
              stride = ldoffs
          break
   
    for (i = 0, i < vector-len; i++)
      r[N+i] = mem[(offs*i + r[M+i])*stride]

# Analysis and discussion of Vector vs SIMD

There are four combined areas between the two proposals that help with
parallelism without over-burdening the ISA with a huge proliferation of
instructions:

* Fixed vs variable parallelism (fixed or variable "M" in SIMD)
* Implicit vs fixed instruction bit-width (integral to instruction or not)
* Implicit vs explicit type-conversion (compounded on bit-width)
* Implicit vs explicit inner loops.
* Masks / tagging (selecting/preventing certain indexed elements from execution)

The pros and cons of each are discussed and analysed below.

## Fixed vs variable parallelism length

In David Patterson and Andrew Waterman's analysis of SIMD and Vector
ISAs, the analysis comes out clearly in favour of (effectively) variable
length SIMD.  As SIMD is a fixed width, typically 4, 8 or in extreme cases
16 or 32 simultaneous operations, the setup, teardown and corner-cases of SIMD
are extremely burdensome except for applications whose requirements
*specifically* match the *precise and exact* depth of the SIMD engine.

Thus, SIMD, no matter what width is chosen, is never going to be acceptable
for general-purpose computation, and in the context of developing a
general-purpose ISA, is never going to satisfy 100 percent of implementors.

That basically leaves "variable-length vector" as the clear *general-purpose*
winner, at least in terms of greatly simplifying the instruction set,
reducing the number of instructions required for any given task, and thus
reducing power consumption for the same.

## Implicit vs fixed instruction bit-width

SIMD again has a severe disadvantage here, over Vector: huge proliferation
of specialist instructions that target 8-bit, 16-bit, 32-bit, 64-bit, and
have to then have operations *for each and between each*.  It gets very
messy, very quickly.

The V-Extension on the other hand proposes to set the bit-width of
future instructions on a per-register basis, such that subsequent instructions
involving that register are *implicitly* of that particular bit-width until
otherwise changed or reset.

This has some extremely useful properties, without being particularly
burdensome to implementations, given that instruction decode already has
to direct the operation to a correctly-sized width ALU engine, anyway.

Not least: in places where an ISA was previously constrained (due for
whatever reason, including limitations of the available operand spcace),
implicit bit-width allows the meaning of certain operations to be
type-overloaded *without* pollution or alteration of frozen and immutable
instructions, in a fully backwards-compatible fashion.

## Implicit and explicit type-conversion

The Draft 2.3 V-extension proposal has (deprecated) polymorphism to help
deal with over-population of instructions, such that type-casting from
integer (and floating point) of various sizes is automatically inferred
due to "type tagging" that is set with a special instruction.  A register
will be *specifically* marked as "16-bit Floating-Point" and, if added
to an operand that is specifically tagged as "32-bit Integer" an implicit
type-conversion will take placce *without* requiring that type-conversion
to be explicitly done with its own separate instruction.

However, implicit type-conversion is not only quite burdensome to
implement (explosion of inferred type-to-type conversion) but also is
never really going to be complete.  It gets even worse when bit-widths
also have to be taken into consideration.

Overall, type-conversion is generally best to leave to explicit
type-conversion instructions, or in definite specific use-cases left to
be part of an actual instruction (DSP or FP)

## Zero-overhead loops vs explicit loops

The initial Draft P-SIMD Proposal by Chuanhua Chang of Andes Technology
contains an extremely interesting feature: zero-overhead loops.  This
proposal would basically allow an inner loop of instructions to be
repeated indefinitely, a fixed number of times.

Its specific advantage over explicit loops is that the pipeline in a DSP
can potentially be kept completely full *even in an in-order single-issue
implementation*.  Normally, it requires a superscalar architecture and
out-of-order execution capabilities to "pre-process" instructions in
order to keep ALU pipelines 100% occupied.

By bringing that capability in, this proposal could offer a way to increase
pipeline activity even in simpler implementations in the one key area
which really matters: the inner loop.

However when looking at much more comprehensive schemes
"A portable specification of zero-overhead loop control hardware
applied to embedded processors" (ZOLC), optimising only the single
inner loop seems inadequate, tending to suggest that ZOLC may be
better off being proposed as an entirely separate Extension.

## Mask and Tagging (Predication)

Tagging (aka Masks aka Predication) is a pseudo-method of implementing
simplistic branching in a parallel fashion, by allowing execution on
elements of a vector to be switched on or off depending on the results
of prior operations in the same array position.

The reason for considering this is simple: by *definition* it
is not possible to perform individual parallel branches in a SIMD
(Single-Instruction, **Multiple**-Data) context.  Branches (modifying
of the Program Counter) will result in *all* parallel data having
a different instruction executed on it: that's just the definition of
SIMD, and it is simply unavoidable.

So these are the ways in which conditional execution may be implemented:

* explicit compare and branch: BNE x, y -> offs would jump offs
  instructions if x was not equal to y
* explicit store of tag condition: CMP x, y -> tagbit
* implicit (condition-code) ADD results in a carry, carry bit implicitly
  (or sometimes explicitly) goes into a "tag" (mask) register

The first of these is a "normal" branch method, which is flat-out impossible
to parallelise without look-ahead and effectively rewriting instructions.
This would defeat the purpose of RISC.

The latter two are where parallelism becomes easy to do without complexity:
every operation is modified to be "conditionally executed" (in an explicit
way directly in the instruction format *or* implicitly).

RVV (Vector-Extension) proposes to have *explicit* storing of the compare
in a tag/mask register, and to *explicitly* have every vector operation
*require* that its operation be "predicated" on the bits within an
explicitly-named tag/mask register.

SIMD (P-Extension) has not yet published precise documentation on what its
schema is to be: there is however verbal indication at the time of writing
that:

> The "compare" instructions in the DSP/SIMD ISA proposed by Andes will
> be executed using the same compare ALU logic for the base ISA with some
> minor modifications to handle smaller data types. The function will not
> be duplicated.

This is an *implicit* form of predication as the base RV ISA does not have
condition-codes or predication.  By adding a CSR it becomes possible
to also tag certain registers as "predicated if referenced as a destination".
Example:

    // in future operations if r0 is the destination use r5 as 
    // the PREDICATION register
    IMPLICICSRPREDICATE r0, r5
    // store the compares in r5 as the PREDICATION register 
    CMPEQ8 r5, r1, r2
    // r0 is used here.  ah ha!  that means it's predicated using r5! 
    ADD8 r0, r1, r3

With enough registers (and there are enough registers) some fairly
complex predication can be set up and yet still execute without significant
stalling, even in a simple non-superscalar architecture.

### Retro-fitting Predication into branch-explicit ISA

One of the goals of this parallelism proposal is to avoid instruction
duplication.  However, with the base ISA having been designed explictly
to *avoid* condition-codes entirely, shoe-horning predication into it
bcomes quite challenging.

However what if all branch instructions, if referencing a vectorised
register, were instead given *completely new analogous meanings* that
resulted in a parallel bit-wise predication register being set?  This
would have to be done for both C.BEQZ and C.BNEZ, as well as BEQ, BNE,
BLT and BGE.

We might imagine that FEQ, FLT and FLT would also need to be converted,
however these are effectively *already* in the precise form needed and
do not need to be converted *at all*!  The difference is that FEQ, FLT
and FLE *specifically* write a 1 to an integer register if the condition
holds, and 0 if not.  All that needs to be done here is to say, "if
the integer register is tagged with a bit that says it is a predication
register, the **bit** in the integer register is set based on the
current vector index" instead.

There is, in the standard Conditional Branch instruction, more than
adequate space to interpret it in a similar fashion:

[[!table  data="""
  31    |30 ..... 25 |24 ... 20 | 19 ... 15 | 14 ...... 12 | 11 .......  8 |      7  | 6 ....... 0 |
imm[12] | imm[10:5]  |        rs2 |     rs1 |       funct3 |      imm[4:1] | imm[11] |    opcode   |
 1      |        6   |      5   |      5    |       3      |     4         |  1      |   7         |
   offset[12,10:5]  ||    src2  |    src1   |  BEQ         |    offset[11,4:1]      || BRANCH      |
"""]]

This would become:

[[!table  data="""
  31    |30 ..... 25 |24 ... 20 | 19 ... 15 | 14 ...... 12 | 11 .......  8 |      7  | 6 ....... 0 |
imm[12] | imm[10:5]  |        rs2 |     rs1 |       funct3 |      imm[4:1] | imm[11] |    opcode   |
 1      |        6   |      5   |      5    |       3      |     4         |  1      |   7         |
   reserved         ||    src2  |    src1   |  BEQ         |   predicate rs3        || BRANCH      |
"""]]

Similarly the C.BEQZ and C.BNEZ instruction format may be retro-fitted,
with the interesting side-effect that there is space within what is presently
the "immediate offset" field to reinterpret that to add in not only a bit
field to distinguish between floating-point compare and integer compare,
not only to add in a second source register, but also use some of the bits as
a predication target as well.

[[!table  data="""
15 ...... 13 | 12 ...........  10 | 9..... 7 | 6 ................. 2 | 1 .. 0 |
   funct3    |       imm          |   rs10   |         imm           |   op   |
      3      |         3          |    3     |           5           |   2    |
   C.BEQZ    |   offset[8,4:3]    |   src    |   offset[7:6,2:1,5]   |   C1   |
"""]]

Now uses the CS format:

[[!table  data="""
15 ...... 13 | 12 ...........  10 | 9..... 7 | 6 .. 5 | 4......... 2 | 1 .. 0 |
   funct3    |       imm          |   rs10   |  imm   |              |   op   |
      3      |         3          |    3     |  2     |  3           |   2    |
   C.BEQZ    |   predicate rs3    |   src1   |  I/F B | src2         |   C1   |
"""]]

Bit 6 would be decoded as "operation refers to Integer or Float" including
interpreting src1 and src2 accordingly as outlined in Table 12.2 of the
"C" Standard, version 2.0,
whilst Bit 5 would allow the operation to be extended, in combination with
funct3 = 110 or 111: a combination of four distinct comparison operators.

## Conclusions

In the above sections the five different ways where parallel instruction
execution has closely and loosely inter-related implications for the ISA and
for implementors, were outlined.  The pluses and minuses came out as
follows:

* Fixed vs variable parallelism: <b>variable</b>
* Implicit (indirect) vs fixed (integral) instruction bit-width: <b>indirect</b>
* Implicit vs explicit type-conversion: <b>explicit</b>
* Implicit vs explicit inner loops: <b>implicit but best done separately</b>
* Tag or no-tag: <b>Complex but highly beneficial</b>

In particular:

* variable-length vectors came out on top because of the high setup, teardown
  and corner-cases associated with the fixed width of SIMD.
* Implicit bit-width helps to extend the ISA to escape from
  former limitations and restrictions (in a backwards-compatible fashion),
  whilst also leaving implementors free to simmplify implementations
  by using actual explicit internal parallelism.
* Implicit (zero-overhead) loops provide a means to keep pipelines
  potentially 100% occupied in a single-issue in-order implementation
  i.e. *without* requiring a super-scalar or out-of-order architecture,
  but doing a proper, full job (ZOLC) is an entirely different matter.

Constructing a SIMD/Simple-Vector proposal based around four of these five
requirements would therefore seem to be a logical thing to do.

# Instruction Format

**TODO** *basically borrow from both P and V, which should be quite simple
to do, with the exception of Tag/no-tag, which needs a bit more
thought.  V's Section 17.19 of Draft V2.3 spec is reminiscent of B's BGS
gather-scatterer, and, if implemented, could actually be a really useful
way to span 8-bit up to 64-bit groups of data, where BGS as it stands
and described by Clifford does **bits** of up to 16 width.  Lots to
look at and investigate!*

# Note on implementation of parallelism

One extremely important aspect of this proposal is to respect and support
implementors desire to focus on power, area or performance.  In that regard,
it is proposed that implementors be free to choose whether to implement
the Vector (or variable-width SIMD) parallelism as sequential operations
with a single ALU, fully parallel (if practical) with multiple ALUs, or
a hybrid combination of both.

In Broadcom's Videocore-IV, they chose hybrid, and called it "Virtual
Parallelism".  They achieve a 16-way SIMD at an **instruction** level
by providing a combination of a 4-way parallel ALU *and* an externally
transparent loop that feeds 4 sequential sets of data into each of the
4 ALUs.

Also in the same core, it is worth noting that particularly uncommon
but essential operations (Reciprocal-Square-Root for example) are
*not* part of the 4-way parallel ALU but instead have a *single* ALU.
Under the proposed Vector (varible-width SIMD) implementors would
be free to do precisely that: i.e. free to choose *on a per operation
basis* whether and how much "Virtual Parallelism" to deploy.

It is absolutely critical to note that it is proposed that such choices MUST
be **entirely transparent** to the end-user and the compiler.  Whilst
a Vector (varible-width SIM) may not precisely match the width of the
parallelism within the implementation, the end-user **should not care**
and in this way the performance benefits are gained but the ISA remains
straightforward.  All that happens at the end of an instruction run is: some
parallel units (if there are any) would remain offline, completely
transparently to the ISA, the program, and the compiler.

The "SIMD considered harmful" trap of having huge complexity and extra
instructions to deal with corner-cases is thus avoided, and implementors
get to choose precisely where to focus and target the benefits of their
implementation efforts, without "extra baggage".

# Example of vector / vector, vector / scalar, scalar / scalar => vector add

    register CSRvectorlen[XLEN][4]; # not quite decided yet about this one...
    register CSRpredicate[XLEN][4]; # 2^4 is max vector length
    register CSRreg_is_vectorised[XLEN]; # just for fun support scalars as well
    register x[32][XLEN];

    function op_add(rd, rs1, rs2, predr)
    {
       /* note that this is ADD, not PADD */
       int i, id, irs1, irs2;
       # checks CSRvectorlen[rd] == CSRvectorlen[rs] etc. ignored
       # also destination makes no sense as a scalar but what the hell...
       for (i = 0, id=0, irs1=0, irs2=0; i<CSRvectorlen[rd]; i++)
          if (CSRpredicate[predr][i]) # i *think* this is right...
             x[rd+id] <= x[rs1+irs1] + x[rs2+irs2];
          # now increment the idxs
          if (CSRreg_is_vectorised[rd]) # bitfield check rd, scalar/vector?
             id += 1;
          if (CSRreg_is_vectorised[rs1]) # bitfield check rs1, scalar/vector?
             irs1 += 1;
          if (CSRreg_is_vectorised[rs2]) # bitfield check rs2, scalar/vector?
             irs2 += 1;
    }

# V-Extension to Simple-V Comparative Analysis

This section covers the ways in which Simple-V is comparable
to, or more flexible than, V-Extension (V2.3-draft).  Also covered is
one major weak-point (register files are fixed size, where V is
arbitrary length), and how best to deal with that, should V be adapted
to be on top of Simple-V.

The first stages of this section go over each of the sections of V2.3-draft V
where appropriate

## 17.3 Shape Encoding

Simple-V's proposed means of expressing whether a register (from the
standard integer or the standard floating-point file) is a scalar or
a vector is to simply set the vector length to 1.  The instruction
would however have to specify which register file (integer or FP) that
the vector-length was to be applied to.

Extended shapes (2-D etc) would not be part of Simple-V at all.

## 17.4 Representation Encoding

Simple-V would not have representation-encoding.  This is part of
polymorphism, which is considered too complex to implement (TODO: confirm?)

## 17.5 Element Bitwidth

This is directly equivalent to Simple-V's "Packed", and implies that
integer (or floating-point) are divided down into vector-indexable
chunks of size Bitwidth.

In this way it becomes possible to have ADD effectively and implicitly
turn into ADDb (8-bit add), ADDw (16-bit add) and so on, and where
vector-length has been set to greater than 1, it becomes a "Packed"
(SIMD) instruction.

It remains to be decided what should be done when RV32 / RV64 ADD (sized)
opcodes are used.  One useful idea would be, on an RV64 system where
a 32-bit-sized ADD was performed, to simply use the least significant
32-bits of the register (exactly as is currently done) but at the same
time to *respect the packed bitwidth as well*.

The extended encoding (Table 17.6) would not be part of Simple-V.

## 17.6 Base Vector Extension Supported Types

TODO: analyse.  probably exactly the same.

## 17.7 Maximum Vector Element Width

No equivalent in Simple-V

## 17.8 Vector Configuration Registers

TODO: analyse.

## 17.9 Legal Vector Unit Configurations

TODO: analyse

## 17.10 Vector Unit CSRs

TODO: analyse

> Ok so this is an aspect of Simple-V that I hadn't thought through,
> yet (proposal / idea only a few days old!).  in V2.3-Draft ISA Section
> 17.10 the CSRs are listed.  I note that there's some general-purpose
> CSRs (including a global/active vector-length) and 16 vcfgN CSRs.  i
> don't precisely know what those are for.

>  In the Simple-V proposal, *every* register in both the integer
> register-file *and* the floating-point register-file would have at
> least a 2-bit "data-width" CSR and probably something like an 8-bit
> "vector-length" CSR (less in RV32E, by exactly one bit).

>  What I *don't* know is whether that would be considered perfectly
> reasonable or completely insane.  If it turns out that the proposed
> Simple-V CSRs can indeed be stored in SRAM then I would imagine that
> adding somewhere in the region of 10 bits per register would be... okay? 
> I really don't honestly know.

>  Would these proposed 10-or-so-bit per-register Simple-V CSRs need to
> be multi-ported? No I don't believe they would.

## 17.11 Maximum Vector Length (MVL)

Basically implicitly this is set to the maximum size of the register
file multiplied by the number of 8-bit packed ints that can fit into
a register (4 for RV32, 8 for RV64 and 16 for RV128).

## !7.12 Vector Instruction Formats

No equivalent in Simple-V because *all* instructions of *all* Extensions
are implicitly parallelised (and packed).

## 17.13 Polymorphic Vector Instructions

Polymorphism (implicit type-casting) is deliberately not supported
in Simple-V.

## 17.14 Rapid Configuration Instructions

TODO: analyse if this is useful to have an equivalent in Simple-V

## 17.15 Vector-Type-Change Instructions

TODO: analyse if this is useful to have an equivalent in Simple-V

## 17.16 Vector Length

Has a direct corresponding equivalent.

## 17.17 Predicated Execution

Predicated Execution is another name for "masking" or "tagging".  Masked
(or tagged) implies that there is a bit field which is indexed, and each
bit associated with the corresponding indexed offset register within
the "Vector".  If the tag / mask bit is 1, when a parallel operation is
issued, the indexed element of the vector has the operation carried out.
However if the tag / mask bit is *zero*, that particular indexed element
of the vector does *not* have the requested operation carried out.

In V2.3-draft V, there is a significant (not recommended) difference:
the zero-tagged elements are *set to zero*.  This loses a *significant*
advantage of mask / tagging, particularly if the entire mask register
is itself a general-purpose register, as that general-purpose register
can be inverted, shifted, and'ed, or'ed and so on.  In other words
it becomes possible, especially if Carry/Overflow from each vector
operation is also accessible, to do conditional (step-by-step) vector
operations including things like turn vectors into 1024-bit or greater
operands with very few instructions, by treating the "carry" from
one instruction as a way to do "Conditional add of 1 to the register
next door".  If V2.3-draft V sets zero-tagged elements to zero, such
extremely powerful techniques are simply not possible.

It is noted that there is no mention of an equivalent to BEXT (element
skipping) which would be particularly fascinating and powerful to have.
In this mode, the "mask" would skip elements where its mask bit was zero
in either the source or the destination operand.

Lots to be discussed.

## 17.18 Vector Load/Store Instructions

The Vector Load/Store instructions as proposed in V are extremely powerful
and can be used for reordering and regular restructuring.

Vector Load:

    if (unit-strided) stride = elsize;
    else stride = areg[as2]; // constant-strided
    for (int i=0; i<vl; ++i)
      if ([!]preg[p][i])
        for (int j=0; j<seglen+1; j++)
          vreg[vd+j][i] = mem[areg[as1] + (i*(seglen+1)+j)*stride];

Store:

    if (unit-strided) stride = elsize;
    else stride = areg[as2]; // constant-strided
    for (int i=0; i<vl; ++i)
      if ([!]preg[p][i])
        for (int j=0; j<seglen+1; j++)
          mem[areg[base] + (i*(seglen+1)+j)*stride] = vreg[vd+j][i];

Indexed Load:

    for (int i=0; i<vl; ++i)
      if ([!]preg[p][i])
        for (int j=0; j<seglen+1; j++)
          vreg[vd+j][i] = mem[sreg[base] + vreg[vs2][i] + j*elsize];

Indexed Store:

    for (int i=0; i<vl; ++i)
    if ([!]preg[p][i])
      for (int j=0; j<seglen+1; j++)
        mem[sreg[base] + vreg[vs2][i] + j*elsize] = vreg[vd+j][i];

Keeping these instructions as-is for Simple-V is highly recommended.
However: one of the goals of this Extension is to retro-fit (re-use)
existing RV Load/Store:

[[!table  data="""
31                  20 | 19      15 | 14    12 | 11           7 | 6         0 |
       imm[11:0]       |     rs1    |  funct3  |       rd       |    opcode |
            12         |      5     |    3     |        5       |      7 |
       offset[11:0]    |    base    |  width   |      dest      |    LOAD |
"""]]

[[!table  data="""
31          25 | 24    20 | 19     15 | 14    12 | 11          7 | 6         0 |
 imm[11:5]     |   rs2    |    rs1    |  funct3  |   imm[4:0]    |    opcode |
      7        |    5     |     5     |    3     |       5       |      7 |
 offset[11:5]  |   src    |   base    |  width   |  offset[4:0]  |   STORE |
"""]]


## 17.19 Vector Register Gather

TODO

## TODO, sort

> However, there are also several features that go beyond simply attaching VL
> to a scalar operation and are crucial to being able to vectorize a lot of
> code.  To name a few:
> - Conditional execution (i.e., predicated operations)
> - Inter-lane data movement (e.g. SLIDE, SELECT)
> - Reductions (e.g., VADD with a scalar destination)

 Ok so the Conditional and also the Reductions is one of the reasons
 why as part of SimpleV / variable-SIMD / parallelism (gah gotta think
 of a decent name) i proposed that it be implemented as "if you say r0
 is to be a vector / SIMD that means operations actually take place on
 r0,r1,r2... r(N-1)".

 Consequently any parallel operation could be paused (or... more
 specifically: vectors disabled by resetting it back to a default /
 scalar / vector-length=1) yet the results would actually be in the
 *main register file* (integer or float) and so anything that wasn't
 possible to easily do in "simple" parallel terms could be done *out*
 of parallel "mode" instead.

 I do appreciate that the above does imply that there is a limit to the
 length that SimpleV (whatever) can be parallelised, namely that you
 run out of registers!  my thought there was, "leave space for the main
 V-Ext proposal to extend it to the length that V currently supports".
 Honestly i had not thought through precisely how that would work.

 Inter-lane (SELECT) i saw 17.19 in V2.3-Draft p117, I liked that,
 it reminds me of the discussion with Clifford on bit-manipulation
 (gather-scatter except not Bit Gather Scatter, *data* gather scatter): if
 applied "globally and outside of V and P" SLIDE and SELECT might become
 an extremely powerful way to do fast memory copy and reordering [2[.

 However I haven't quite got my head round how that would work: i am
 used to the concept of register "tags" (the modern term is "masks")
 and i *think* if "masks" were applied to a Simple-V-enhanced LOAD /
 STORE you would get the exact same thing as SELECT.

 SLIDE you could do simply by setting say r0 vector-length to say 16
 (meaning that if referred to in any operation it would be an implicit
 parallel operation on *all* registers r0 through r15), and temporarily
 set say.... r7 vector-length to say... 5.  Do a LOAD on r7 and it would
 implicitly mean "load from memory into r7 through r11".  Then you go
 back and do an operation on r0 and ta-daa, you're actually doing an
 operation on a SLID {SLIDED?) vector.

 The advantage of Simple-V (whatever) over V would be that you could
 actually do *operations* in the middle of vectors (not just SLIDEs)
 simply by (as above) setting r0 vector-length to 16 and r7 vector-length
 to 5.  There would be nothing preventing you from doing an ADD on r0
 (which meant do an ADD on r0 through r15) followed *immediately in the
 next instruction with no setup cost* a MUL on r7 (which actually meant
 "do a parallel MUL on r7 through r11").

 btw it's worth mentioning that you'd get scalar-vector and vector-scalar
 implicitly by having one of the source register be vector-length 1
 (the default) and one being N > 1.  but without having special opcodes
 to do it.  i *believe* (or more like "logically infer or deduce" as
 i haven't got access to the spec) that that would result in a further
 opcode reduction when comparing [draft] V-Ext to [proposed] Simple-V.

 Also, Reduction *might* be possible by specifying that the destination be
 a scalar (vector-length=1) whilst the source be a vector.  However... it
 would be an awful lot of work to go through *every single instruction*
 in *every* Extension, working out which ones could be parallelised (ADD,
 MUL, XOR) and those that definitely could not (DIV, SUB).  Is that worth
 the effort?  maybe.  Would it result in huge complexity? probably.
 Could an implementor just go "I ain't doing *that* as parallel!
 let's make it virtual-parallelism (sequential reduction) instead"?
 absolutely.  So, now that I think it through, Simple-V (whatever)
 covers Reduction as well.  huh, that's a surprise.


> - Vector-length speculation (making it possible to vectorize some loops with
> unknown trip count) - I don't think this part of the proposal is written
> down yet.

 Now that _is_ an interesting concept.  A little scary, i imagine, with
 the possibility of putting a processor into a hard infinite execution
 loop... :)


> Also, note the vector ISA consumes relatively little opcode space (all the
> arithmetic fits in 7/8ths of a major opcode).  This is mainly because data
> type and size is a function of runtime configuration, rather than of opcode.

 yes.  i love that aspect of V, i am a huge fan of polymorphism [1]
 which is why i am keen to advocate that the same runtime principle be
 extended to the rest of the RISC-V ISA [3]

 Yikes that's a lot.  I'm going to need to pull this into the wiki to
 make sure it's not lost.

[1] inherent data type conversion: 25 years ago i designed a hypothetical
hyper-hyper-hyper-escape-code-sequencing ISA based around 2-bit
(escape-extended) opcodes and 2-bit (escape-extended) operands that
only required a fixed 8-bit instruction length.  that relied heavily
on polymorphism and runtime size configurations as well.  At the time
I thought it would have meant one HELL of a lot of CSRs... but then I
met RISC-V and was cured instantly of that delusion^Wmisapprehension :)

[2] Interestingly if you then also add in the other aspect of Simple-V
(the data-size, which is effectively functionally orthogonal / identical
to "Packed" of Packed-SIMD), masked and packed *and* vectored LOAD / STORE
operations become byte / half-word / word augmenters of B-Ext's proposed
"BGS" i.e. where B-Ext's BGS dealt with bits, masked-packed-vectored
LOAD / STORE would deal with 8 / 16 / 32 bits at a time.  Where it
would get really REALLY interesting would be masked-packed-vectored
B-Ext BGS instructions.  I can't even get my head fully round that,
which is a good sign that the combination would be *really* powerful :)

[3] ok sadly maybe not the polymorphism, it's too complicated and I
think would be much too hard for implementors to easily "slide in" to an
existing non-Simple-V implementation.  i say that despite really *really*
wanting IEEE 704 FP Half-precision to end up somewhere in RISC-V in some
fashion, for optimising 3D Graphics.  *sigh*.

## TODO: analyse, auto-increment on unit-stride and constant-stride

so i thought about that for a day or so, and wondered if it would be
possible to propose a variant of zero-overhead loop that included
auto-incrementing the two address registers a2 and a3, as well as
providing a means to interact between the zero-overhead loop and the
vsetvl instruction.  a sort-of pseudo-assembly of that would look like:

    # a2 to be auto-incremented by t0 times 4
    zero-overhead-set-auto-increment a2, t0, 4
    # a2 to be auto-incremented by t0 times 4
    zero-overhead-set-auto-increment a3, t0, 4
    zero-overhead-set-loop-terminator-condition a0 zero
    zero-overhead-set-start-end stripmine, stripmine+endoffset
    stripmine:
    vsetvl t0,a0
    vlw v0, a2
    vlw v1, a3
    vfma v1, a1, v0, v1
    vsw v1, a3
    sub a0, a0, t0
    stripmine+endoffset:

the question is: would something like this even be desirable?  it's a
variant of auto-increment [1].  last time i saw any hint of auto-increment
register opcodes was in the 1980s... 68000 if i recall correctly... yep
see [1]

[1] http://fourier.eng.hmc.edu/e85_old/lectures/instruction/node6.html

Reply:

Another option for auto-increment is for vector-memory-access instructions
to support post-increment addressing for unit-stride and constant-stride
modes.  This can be implemented by the scalar unit passing the operation
to the vector unit while itself executing an appropriate multiply-and-add
to produce the incremented address.  This does *not* require additional
ports on the scalar register file, unlike scalar post-increment addressing
modes.

## TODO: instructions (based on Hwacha) V-Ext duplication analysis

This is partly speculative due to lack of access to an up-to-date
V-Ext Spec (V2.3-draft RVV 0.4-Draft at the time of writing).  However
basin an analysis instead on Hwacha, a cursory examination shows over
an **85%** duplication of V-Ext operand-related instructions when
compared to Simple-V on a standard RG64G base.   Even Vector Fetch
is analogous to "zero-overhead loop".

Exceptions are:

* Vector Indexed Memory Instructions (non-contiguous)
* Vector Atomic Memory Instructions.
* Some of the Vector Misc ops: VEIDX, VFIRST, VCLASS, VPOPC
  and potentially more.
* Consensual Jump

Table of RV32V Instructions

| RV32V      | RV Equivalent (FP)   | RV Equivalent (Int) | Notes |
| -----      | --- | |   |
| VADD       | FADD    | ADD |   |
| VSUB       | FSUB    | SUB |   |
| VSL        |     | SLL |   |
| VSR        |     | SRL |   |
| VAND       |     | AND |   |
| VOR        |     | OR |   |
| VXOR       |     | XOR |   |
| VSEQ       | FEQ | BEQ | {1} |
| VSNE       | !FEQ | BNE | {1} |
| VSLT       | FLT    | BLT | {1} |
| VSGE       | !FLE | BGE | {1} |
| VCLIP      |     | |   |
| VCVT       | FCVT    | |   |
| VMPOP      |     | |   |
| VMFIRST    |     | |   |
| VEXTRACT   |     | |   |
| VINSERT    |     | |   |
| VMERGE     |     | |   |
| VSELECT    |     | |   |
| VSLIDE     |     | |   |
| VDIV       | FDIV    | DIV |   |
| VREM       |     | REM |   |
| VMUL       | FMUL    | MUL |   |
| VMULH      |     | |   |
| VMIN       | FMIN    | |   |
| VMAX       | FMUX    | |   |
| VSGNJ      | FSGNJ    | |   |
| VSGNJN     | FSGNJN    | |   |
| VSGNJX     | FSNGJX    | |   |
| VSQRT      | FSQRT    | |   |
| VCLASS     |     | |   |
| VPOPC      |     | |   |
| VADDI      |     | ADDI |   |
| VSLI       |     | SLI |   |
| VSRI       |     | SRI |   |
| VANDI      |     | ANDI |   |
| VORI       |     | ORI |   |
| VXORI      |     | XORI |   |
| VCLIPI     |     | |   |
| VMADD      | FMADD    | |   |
| VMSUB      | FMSUB    | |   |
| VNMADD     | FNMSUB    | |   |
| VNMSUB     | FNMADD    | |   |
| VLD        | FLD    | LD |   |
| VLDS       |     | LW |   |
| VLDX       |     | LWU |   |
| VST        | FST    | ST |   |
| VSTS       |     | |   |
| VSTX       |     | |   |
| VAMOSWAP   |     | AMOSWAP |   |
| VAMOADD    |     | AMOADD |   |
| VAMOAND    |     | AMOAND |   |
| VAMOOR     |     | AMOOR |   |
| VAMOXOR    |     | AMOXOR |   |
| VAMOMIN    |     | AMOMIN |   |
| VAMOMAX    |     | AMOMAX |   |

Notes:

* {1} retro-fit predication variants into branch instructions (base and C),
  decoding triggered by CSR bit marking register as "Vector type".

## TODO: sort

> I suspect that the "hardware loop" in question is actually a zero-overhead
> loop unit that diverts execution from address X to address Y if a certain
> condition is met.

 not quite.  The zero-overhead loop unit interestingly would be at
an [independent] level above vector-length.  The distinctions are
as follows:

* Vector-length issues *virtual* instructions where the register
  operands are *specifically* altered (to cover a range of registers),
  whereas zero-overhead loops *specifically* do *NOT* alter the operands
  in *ANY* way.

* Vector-length-driven "virtual" instructions are driven by *one*
 and *only* one instruction (whether it be a LOAD, STORE, or pure
 one/two/three-operand opcode) whereas zero-overhead loop units
 specifically apply to *multiple* instructions.

Where vector-length-driven "virtual" instructions might get conceptually
blurred with zero-overhead loops is LOAD / STORE.  In the case of LOAD /
STORE, to actually be useful, vector-length-driven LOAD / STORE should
increment the LOAD / STORE memory address to correspondingly match the
increment in the register bank.  example:

* set vector-length for r0 to 4
* issue RV32 LOAD from addr 0x1230 to r0

translates effectively to:

* RV32 LOAD from addr 0x1230 to r0
* ...
* ...
* RV32 LOAD from addr 0x123B to r3

# P-Ext ISA

## 16-bit Arithmetic

| Mnemonic           | 16-bit Instruction        | Simple-V Equivalent |
| ------------------ | ------------------------- | ------------------- |
| ADD16 rt, ra, rb   | add                       | RV ADD (bitwidth=16) |
| RADD16 rt, ra, rb  | Signed Halving add        | |
| URADD16 rt, ra, rb | Unsigned Halving add      | |
| KADD16 rt, ra, rb  | Signed Saturating add     | |
| UKADD16 rt, ra, rb | Unsigned Saturating add   | |
| SUB16 rt, ra, rb   | sub                       | RV SUB (bitwidth=16) |
| RSUB16 rt, ra, rb  | Signed Halving sub        | |
| URSUB16 rt, ra, rb | Unsigned Halving sub                | |
| KSUB16 rt, ra, rb  | Signed Saturating sub               | |
| UKSUB16 rt, ra, rb | Unsigned Saturating sub             | |
| CRAS16 rt, ra, rb  | Cross Add & Sub                     | |
| RCRAS16 rt, ra, rb | Signed Halving Cross Add & Sub      | |
| URCRAS16 rt, ra, rb| Unsigned Halving Cross Add & Sub    | |
| KCRAS16 rt, ra, rb | Signed Saturating Cross Add & Sub   | |
| UKCRAS16 rt, ra, rb| Unsigned Saturating Cross Add & Sub | |
| CRSA16 rt, ra, rb  | Cross Sub & Add                     | |
| RCRSA16 rt, ra, rb | Signed Halving Cross Sub & Add      | |
| URCRSA16 rt, ra, rb| Unsigned Halving Cross Sub & Add    | |
| KCRSA16 rt, ra, rb | Signed Saturating Cross Sub & Add   | |
| UKCRSA16 rt, ra, rb| Unsigned Saturating Cross Sub & Add | |

## 8-bit Arithmetic

| Mnemonic           | 16-bit Instruction        | Simple-V Equivalent |
| ------------------ | ------------------------- | ------------------- |
| ADD8 rt, ra, rb    | add                       | RV ADD (bitwidth=8)|
| RADD8 rt, ra, rb   | Signed Halving add        | |
| URADD8 rt, ra, rb  | Unsigned Halving add      | |
| KADD8 rt, ra, rb   | Signed Saturating add     | |
| UKADD8 rt, ra, rb  | Unsigned Saturating add   | |
| SUB8 rt, ra, rb    | sub                       | RV SUB (bitwidth=8)|
| RSUB8 rt, ra, rb   | Signed Halving sub        | |
| URSUB8 rt, ra, rb  | Unsigned Halving sub      | |

# Exceptions

> What does an ADD of two different-sized vectors do in simple-V?

* if the two source operands are not the same, throw an exception.
* if the destination operand is also a vector, and the source is longer
  than the destination, throw an exception.

> And what about instructions like JALR? 
> What does jumping to a vector do? 

* Throw an exception.  Whether that actually results in spawning threads
  as part of the trap-handling remains to be seen.

# Comparison of "Traditional" SIMD, Alt-RVP, Simple-V and RVV Proposals <a name="parallelism_comparisons"></a>

This section compares the various parallelism proposals as they stand,
including traditional SIMD, in terms of features, ease of implementation,
complexity, flexibility, and die area.

## [[alt_rvp]]

Primary benefit of Alt-RVP is the simplicity with which parallelism
may be introduced (effective multiplication of regfiles and associated ALUs).

* plus: the simplicity of the lanes (combined with the regularity of
  allocating identical opcodes multiple independent registers) meaning
  that SRAM or 2R1W can be used for entire regfile (potentially).
* minus: a more complex instruction set where the parallelism is much
  more explicitly directly specified in the instruction and
* minus: if you *don't* have an explicit instruction (opcode) and you
  need one, the only place it can be added is... in the vector unit and
* minus: opcode functions (and associated ALUs) duplicated in Alt-RVP are
  not useable or accessible in other Extensions.
* plus-and-minus: Lanes may be utilised for high-speed context-switching
  but with the down-side that they're an all-or-nothing part of the Extension.
  No Alt-RVP: no fast register-bank switching.
* plus: Lane-switching would mean that complex operations not suited to
  parallelisation can be carried out, followed by further parallel Lane-based
  work, without moving register contents down to memory (and back)
* minus: Access to registers across multiple lanes is challenging. "Solution"
  is to drop data into memory and immediately back in again (like MMX).

## Simple-V

Primary benefit of Simple-V is the OO abstraction of parallel principles
from actual hardware.  It's an API in effect that's designed to be
slotted in to an existing implementation (just after instruction decode)
with minimum disruption and effort.

* minus: the complexity of having to use register renames, OoO, VLIW,
  register file cacheing, all of which has been done before but is a
  pain
* plus: transparent re-use of existing opcodes as-is just indirectly
  saying "this register's now a vector" which
* plus: means that future instructions also get to be inherently
  parallelised because there's no "separate vector opcodes"
* plus: Compressed instructions may also be (indirectly) parallelised
* minus: the indirect nature of Simple-V means that setup (setting
  a CSR register to indicate vector length, a separate one to indicate
  that it is a predicate register and so on) means a little more setup
  time than Alt-RVP or RVV's "direct and within the (longer) instruction"
  approach.
* plus: shared register file meaning that, like Alt-RVP, complex
  operations not suited to parallelisation may be carried out interleaved
  between parallelised instructions *without* requiring data to be dropped
  down to memory and back (into a separate vectorised register engine).
* plus-and-maybe-minus: re-use of integer and floating-point 32-wide register
  files means that huge parallel workloads would use up considerable
  chunks of the register file.  However in the case of RV64 and 32-bit
  operations, that effectively means 64 slots are available for parallel
  operations.
* plus: inherent parallelism (actual parallel ALUs) doesn't actually need to
  be added, yet the instruction opcodes remain unchanged (and still appear
  to be parallel).  consistent "API" regardless of actual internal parallelism:
  even an in-order single-issue implementation with a single ALU would still
  appear to have parallel vectoristion.
* hard-to-judge: if actual inherent underlying ALU parallelism is added it's
  hard to say if there would be pluses or minuses (on die area).  At worse it
  would be "no worse" than existing register renaming, OoO, VLIW and register
  file cacheing schemes.

## RVV (as it stands, Draft 0.4 Section 17, RISC-V ISA V2.3-Draft)

RVV is extremely well-designed and has some amazing features, including
2D reorganisation of memory through LOAD/STORE "strides".

* plus: regular predictable workload means that implmentations may
  streamline effects on L1/L2 Cache.
* plus: regular and clear parallel workload also means that lanes
  (similar to Alt-RVP) may be used as an implementation detail,
  using either SRAM or 2R1W registers.
* plus: separate engine with no impact on the rest of an implementation
* minus: separate *complex* engine with no RTL (ALUs, Pipeline stages) reuse
  really feasible.
* minus: no ISA abstraction or re-use either: additions to other Extensions
  do not gain parallelism, resulting in prolific duplication of functionality
  inside RVV *and out*.
* minus: when operations require a different approach (scalar operations
  using the standard integer or FP regfile) an entire vector must be
  transferred out to memory, into standard regfiles, then back to memory,
  then back to the vector unit, this to occur potentially multiple times.
* minus: will never fit into Compressed instruction space (as-is.  May
  be able to do so if "indirect" features of Simple-V are partially adopted).
* plus-and-slight-minus: extended variants may address up to 256
  vectorised registers (requires 48/64-bit opcodes to do it).
* minus-and-partial-plus: separate engine plus complexity increases
  implementation time and die area, meaning that adoption is likely only
  to be in high-performance specialist supercomputing (where it will
  be absolutely superb).

## Traditional SIMD

The only really good things about SIMD are how easy it is to implement and
get good performance.  Unfortunately that makes it quite seductive...

* plus: really straightforward, ALU basically does several packed operations
  at once.  Parallelism is inherent at the ALU, making the addition of
  SIMD-style parallelism an easy decision that has zero significant impact
  on the rest of any given architectural design and layout.
* plus (continuation): SIMD in simple in-order single-issue designs can
  therefore result in superb throughput, easily achieved even with a very
  simple execution model.
* minus: ridiculously complex setup and corner-cases that disproportionately
  increase instruction count on what would otherwise be a "simple loop",
  should the number of elements in an array not happen to exactly match
  the SIMD group width.
* minus: getting data usefully out of registers (if separate regfiles
  are used) means outputting to memory and back.
* minus: quite a lot of supplementary instructions for bit-level manipulation
  are needed in order to efficiently extract (or prepare) SIMD operands.
* minus: MASSIVE proliferation of ISA both in terms of opcodes in one
  dimension and parallelism (width): an at least O(N^2) and quite probably
  O(N^3) ISA proliferation that often results in several thousand
  separate instructions.  all requiring separate and distinct corner-case
  algorithms!
* minus: EVEN BIGGER proliferation of SIMD ISA if the functionality of
  8, 16, 32 or 64-bit reordering is built-in to the SIMD instruction.
  For example: add (high|low) 16-bits of r1 to (low|high) of r2 requires
  four separate and distinct instructions: one for (r1:low r2:high),
  one for (r1:high r2:low), one for (r1:high r2:high) and one for
  (r1:low r2:low) *per function*.
* minus: EVEN BIGGER proliferation of SIMD ISA if there is a mismatch
  between operand and result bit-widths.  In combination with high/low
  proliferation the situation is made even worse.
* minor-saving-grace: some implementations *may* have predication masks
  that allow control over individual elements within the SIMD block.

# Comparison *to* Traditional SIMD: Alt-RVP, Simple-V and RVV Proposals <a name="simd_comparison"></a>

This section compares the various parallelism proposals as they stand,
*against* traditional SIMD as opposed to *alongside* SIMD.  In other words,
the question is asked "How can each of the proposals effectively implement
(or replace) SIMD"?

## [[alt_rvp]]

* Alt-RVP would not actually replace SIMD but would augment it: just as with
  a SIMD architecture where the ALU becomes responsible for the parallelism,
  Alt-RVP ALUs would likewise be so responsible... with *additional*
  (lane-based) parallelism on top.
* Thus at least some of the downsides of SIMD are avoided (architectural
  upgrades introducing 128-bit then 256-bit then 512-bit variants of the
  exact same 64-bit SIMD block)
* Thus, unfortunately, Alt-RVP would suffer the same inherent proliferation
  of instructions as SIMD, albeit not quite as badly (due to Lanes).
* In the same discussion for Alt-RVP, an additional proposal was made to
  be able to subdivide the bits of each register lane (columns) down into
  arbitrary bit-lengths (RGB 565 for example).
* A recommendation was given instead to make the subdivisions down to 32-bit,
  16-bit or even 8-bit, effectively dividing the registerfile into
  Lane0(H), Lane0(L), Lane1(H) ... LaneN(L) or further.  If inter-lane
  "swapping" instructions were then introduced, some of the disadvantages
  of SIMD could be mitigated.

## RVV

* RVV is designed to replace SIMD with a better paradigm: arbitrary-length
  parallelism.
* However whilst SIMD is usually designed for single-issue in-order simple
  DSPs with a focus on Multimedia (Audio, Video and Image processing),
  RVV's primary focus appears to be on Supercomputing: optimisation of
  mathematical operations that fit into the OpenCL space.
* Adding functions (operations) that would normally fit (in parallel) 
  into a SIMD instruction requires an equivalent to be added to the
  RVV Extension, if one does not exist.  Given the specialist nature of
  some SIMD instructions (8-bit or 16-bit saturated or halving add),
  this possibility seems extremely unlikely to occur, even if the
  implementation overhead of RVV were acceptable (compared to
  normal SIMD/DSP-style single-issue in-order simplicity).

## Simple-V

* Simple-V borrows hugely from RVV as it is intended to be easy to
  topologically transplant every single instruction from RVV (as
  designed) into Simple-V equivalents, with *zero loss of functionality
   or capability*.
* With the "parallelism" abstracted out, a hypothetical SIMD-less "DSP"
  Extension which contained the basic primitives (non-parallelised
  8, 16 or 32-bit SIMD operations) inherently *become* parallel,
  automatically.
* Additionally, standard operations (ADD, MUL) that would normally have
  to have special SIMD-parallel opcodes added need no longer have *any*
  of the length-dependent variants (2of 32-bit ADDs in a 64-bit register,
  4of 32-bit ADDs in a 128-bit register) because Simple-V takes the
  *standard* RV opcodes (present and future) and automatically parallelises
  them.
* By inheriting the RVV feature of arbitrary vector-length, then just as
  with RVV the corner-cases and ISA proliferation of SIMD is avoided.
* Whilst not entirely finalised, registers are expected to be
  capable of being subdivided down to an implementor-chosen bitwidth
  in the underlying hardware (r1 becomes r1[31..24] r1[23..16] r1[15..8]
  and r1[7..0], or just r1[31..16] r1[15..0]) where implementors can
  choose to have separate independent 8-bit ALUs or dual-SIMD 16-bit
  ALUs that perform twin 8-bit operations as they see fit, or anything
  else including no subdivisions at all.
* Even though implementors have that choice even to have full 64-bit
  (with RV64) SIMD, they *must* provide predication that transparently
  switches off appropriate units on the last loop, thus neatly fitting
  underlying SIMD ALU implementations *into* the arbitrary vector-length
  RVV paradigm, keeping the uniform consistent API that is a key strategic
  feature of Simple-V.
* With Simple-V fitting into the standard register files, certain classes
  of SIMD operations such as High/Low arithmetic (r1[31..16] + r2[15..0])
  can be done by applying *Parallelised* Bit-manipulation operations
  followed by parallelised *straight* versions of element-to-element
  arithmetic operations, even if the bit-manipulation operations require
  changing the bitwidth of the "vectors" to do so.  Predication can
  be utilised to skip high words (or low words) in source or destination.
* In essence, the key downside of SIMD - massive duplication of
  identical functions over time as an architecture evolves from 32-bit
  wide SIMD all the way up to 512-bit, is avoided with Simple-V, through
  vector-style parallelism being dropped on top of 8-bit or 16-bit
  operations, all the while keeping a consistent ISA-level "API" irrespective
  of implementor design choices (or indeed actual implementations).

# Impementing V on top of Simple-V

* Number of Offset CSRs extends from 2
* Extra register file: vector-file
* Setup of Vector length and bitwidth CSRs now can specify vector-file
  as well as integer or float file.
* TODO

# Implementing P (renamed to DSP) on top of Simple-V

* Implementors indicate chosen bitwidth support in Vector-bitwidth CSR
  (caveat: anything not specified drops through to software-emulation / traps)
* TODO

# Register reordering <a name="register_reordering"></a>

## Register File 

| Reg Num | Bits |
| ------- | ---- |
| r0 | (32..0) |
| r1 | (32..0) |
| r2 | (32..0) |
| r3 | (32..0) |
| r4 | (32..0) |
| r5 | (32..0) |
| r6 | (32..0) |
| r7 | (32..0) |

## Vectorised CSR

May not be an actual CSR: may be generated from Vector Length CSR:
single-bit is less burdensome on instruction decode phase.

| 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
| - | - | - | - | - | - | - | - |  
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 |

## Vector Length CSR

| Reg Num | (3..0) |
| ------- | ---- |
| r0 | 2 |
| r1 | 0 |
| r2 | 1 |
| r3 | 1 |
| r4 | 3 |
| r5 | 0 |
| r6 | 0 |
| r7 | 1 |

## Virtual Register Reordering:

| Reg Num | Bits (0) | Bits (1) | Bits (2) |
| ------- | -------- | -------- | -------- |
| r0 | (32..0) | (32..0) |
| r2 | (32..0) |
| r3 | (32..0) |
| r4 | (32..0) | (32..0) | (32..0) |
| r7 | (32..0) |

## Example Instruction translation: <a name="example_translation"></a>

Instructions "ADD r2 r4 r4" would result in three instructions being
generated and placed into the FILO:

* ADD r2 r4 r4
* ADD r2 r5 r5
* ADD r2 r6 r6

## Insights 

SIMD register file splitting still to consider.  For RV64, benefits of doubling
(quadrupling in the case of Half-Precision IEEE754 FP) the apparent
size of the floating point register file to 64 (128 in the case of HP)
seem pretty clear and worth the complexity.

64 virtual 32-bit F.P. registers and given that 32-bit FP operations are
done on 64-bit registers it's not so conceptually difficult.  May even
be achieved by *actually* splitting the regfile into 64 virtual 32-bit
registers such that a 64-bit FP scalar operation is dropped into (r0.H
r0.L) tuples.  Implementation therefore hidden through register renaming.

Implementations intending to introduce VLIW, OoO and parallelism
(even without Simple-V) would then find that the instructions are
generated quicker (or in a more compact fashion that is less heavy
on caches).  Interestingly we observe then that Simple-V is about
"consolidation of instruction generation", where actual parallelism
of underlying hardware is an implementor-choice that could just as
equally be applied *without* Simple-V even being implemented.

# Analysis of CSR decoding on latency <a name="csr_decoding_analysis"></a>

It could indeed have been logically deduced (or expected), that there
would be additional decode latency in this proposal, because if
overloading the opcodes to have different meanings, there is guaranteed
to be some state, some-where, directly related to registers.

There are several cases:

* All operands vector-length=1 (scalars), all operands
  packed-bitwidth="default": instructions are passed through direct as if
  Simple-V did not exist.  Simple-V is, in effect, completely disabled.
* At least one operand vector-length > 1, all operands
  packed-bitwidth="default": any parallel vector ALUs placed on "alert",
  virtual parallelism looping may be activated.
* All operands vector-length=1 (scalars), at least one
  operand packed-bitwidth != default: degenerate case of SIMD,
  implementation-specific complexity here (packed decode before ALUs or
  *IN* ALUs)
* At least one operand vector-length > 1, at least one operand
  packed-bitwidth != default: parallel vector ALUs (if any)
  placed on "alert", virtual parallelsim looping may be activated,
  implementation-specific SIMD complexity kicks in (packed decode before
  ALUs or *IN* ALUs).

Bear in mind that the proposal includes that the decision whether
to parallelise in hardware or whether to virtual-parallelise (to
dramatically simplify compilers and also not to run into the SIMD
instruction proliferation nightmare) *or* a transprent combination
of both, be done on a *per-operand basis*, so that implementors can
specifically choose to create an application-optimised implementation
that they believe (or know) will sell extremely well, without having
"Extra Standards-Mandated Baggage" that would otherwise blow their area
or power budget completely out the window.

Additionally, two possible CSR schemes have been proposed, in order to
greatly reduce CSR space:

* per-register CSRs (vector-length and packed-bitwidth)
* a smaller number of CSRs with the same information but with an *INDEX*
  specifying WHICH register in one of three regfiles (vector, fp, int)
  the length and bitwidth applies to.

(See "CSR vector-length and CSR SIMD packed-bitwidth" section for details)

In addition, LOAD/STORE has its own associated proposed CSRs that
mirror the STRIDE (but not yet STRIDE-SEGMENT?) functionality of
V (and Hwacha).

Also bear in mind that, for reasons of simplicity for implementors,
I was coming round to the idea of permitting implementors to choose
exactly which bitwidths they would like to support in hardware and which
to allow to fall through to software-trap emulation.

So the question boils down to:

* whether either (or both) of those two CSR schemes have significant
  latency that could even potentially require an extra pipeline decode stage
* whether there are implementations that can be thought of which do *not*
  introduce significant latency
* whether it is possible to explicitly (through quite simply
  disabling Simple-V-Ext) or implicitly (detect the case all-vlens=1,
  all-simd-bitwidths=default) switch OFF any decoding, perhaps even to
  the extreme of skipping an entire pipeline stage (if one is needed)
* whether packed bitwidth and associated regfile splitting is so complex
  that it should definitely, definitely be made mandatory that implementors
  move regfile splitting into the ALU, and what are the implications of that
* whether even if that *is* made mandatory, is software-trapped
  "unsupported bitwidths" still desirable, on the basis that SIMD is such
  a complete nightmare that *even* having a software implementation is
  better, making Simple-V have more in common with a software API than
  anything else.

Whilst the above may seem to be severe minuses, there are some strong
pluses:

* Significant reduction of V's opcode space: over 85%.
* Smaller reduction of P's opcode space: around 10%.
* The potential to use Compressed instructions in both Vector and SIMD
  due to the overloading of register meaning (implicit vectorisation,
  implicit packing)
* Not only present but also future extensions automatically gain parallelism.
* Already mentioned but worth emphasising: the simplification to compiler
  writers and assembly-level writers of having the same consistent ISA
  regardless of whether the internal level of parallelism (number of
  parallel ALUs) is only equal to one ("virtual" parallelism), or is
  greater than one, should not be underestimated.

# Appendix

# Reducing Register Bank porting

This looks quite reasonable.
<https://www.princeton.edu/~rblee/ELE572Papers/MultiBankRegFile_ISCA2000.pdf>

The main details are outlined on page 4.  They propose a 2-level register
cache hierarchy, note that registers are typically only read once, that
you never write back from upper to lower cache level but always go in a
cycle lower -> upper -> ALU -> lower, and at the top of page 5 propose
a scheme where you look ahead by only 2 instructions to determine which
registers to bring into the cache.

The nice thing about a vector architecture is that you *know* that
*even more* registers are going to be pulled in: Hwacha uses this fact
to optimise L1/L2 cache-line usage (avoid thrashing), strangely enough
by *introducing* deliberate latency into the execution phase.



# References

* SIMD considered harmful <https://www.sigarch.org/simd-instructions-considered-harmful/>
* Link to first proposal <https://groups.google.com/a/groups.riscv.org/forum/#!topic/isa-dev/GuukrSjgBH8>
* Recommendation by Jacob Bachmeyer to make zero-overhead loop an
  "implicit program-counter" <https://groups.google.com/a/groups.riscv.org/d/msg/isa-dev/vYVi95gF2Mo/SHz6a4_lAgAJ>
* Re-continuing P-Extension proposal <https://groups.google.com/a/groups.riscv.org/forum/#!msg/isa-dev/IkLkQn3HvXQ/SEMyC9IlAgAJ>
* First Draft P-SIMD (DSP) proposal <https://groups.google.com/a/groups.riscv.org/forum/#!topic/isa-dev/vYVi95gF2Mo>
* B-Extension discussion <https://groups.google.com/a/groups.riscv.org/forum/#!topic/isa-dev/zi_7B15kj6s>
* Broadcom VideoCore-IV <https://docs.broadcom.com/docs/12358545>
  Figure 2 P17 and Section 3 on P16.
* Hwacha <https://www2.eecs.berkeley.edu/Pubs/TechRpts/2015/EECS-2015-262.html>
* Hwacha <https://www2.eecs.berkeley.edu/Pubs/TechRpts/2015/EECS-2015-263.html>
* Vector Workshop <http://riscv.org/wp-content/uploads/2015/06/riscv-vector-workshop-june2015.pdf>
* Predication <https://groups.google.com/a/groups.riscv.org/forum/#!topic/isa-dev/XoP4BfYSLXA>
* Branch Divergence <https://jbush001.github.io/2014/12/07/branch-divergence-in-parallel-kernels.html>
* Life of Triangles (3D) <https://jbush001.github.io/2016/02/27/life-of-triangle.html>
* Videocore-IV <https://github.com/hermanhermitage/videocoreiv/wiki/VideoCore-IV-3d-Graphics-Pipeline>
* Discussion proposing CSRs that change ISA definition
  <https://groups.google.com/a/groups.riscv.org/forum/#!topic/isa-dev/InzQ1wr_3Ak>
* Zero-overhead loops <https://pdfs.semanticscholar.org/dbaa/66985cc730d4b44d79f519e96ec9c43ab5b7.pdf>
* Multi-ported VLIW Register File Implementation <https://ce-publications.et.tudelft.nl/publications/1517_multiple_contexts_in_a_multiported_vliw_register_file_impl.pdf>
* Fast context save/restore proposal <https://groups.google.com/a/groups.riscv.org/d/msgid/isa-dev/57F823FA.6030701%40gmail.com>
* Register File Bank Cacheing <https://www.princeton.edu/~rblee/ELE572Papers/MultiBankRegFile_ISCA2000.pdf>