BlockRAM primitives

Using RAMs

We will show a rather elaborate example on how you can, and why you might want to use blockRams. We will build a "small" CPU+Memory+Program ROM where we will slowly evolve to using blockRams. Note that the code is not meant as a de-facto standard on how to do CPU design in CλaSH.

We start with the definition of the Instructions, Register names and machine codes:

{-# LANGUAGE RecordWildCards, TupleSections #-}
module CPU where

import Clash.Prelude

type InstrAddr = Unsigned 8
type MemAddr   = Unsigned 5
type Value     = Signed 8

data Instruction
  = Compute Operator Reg Reg Reg
  | Branch Reg Value
  | Jump Value
  | Load MemAddr Reg
  | Store Reg MemAddr
  | Nop
  deriving (Eq,Show)

data Reg
  = Zero
  | PC
  | RegA
  | RegB
  | RegC
  | RegD
  | RegE
  deriving (Eq,Show,Enum)

data Operator = Add | Sub | Incr | Imm | CmpGt
  deriving (Eq,Show)

data MachCode
  = MachCode
  { inputX  :: Reg
  , inputY  :: Reg
  , result  :: Reg
  , aluCode :: Operator
  , ldReg   :: Reg
  , rdAddr  :: MemAddr
  , wrAddrM :: Maybe MemAddr
  , jmpM    :: Maybe Value
  }

nullCode = MachCode { inputX = Zero, inputY = Zero, result = Zero, aluCode = Imm
                    , ldReg = Zero, rdAddr = 0, wrAddrM = Nothing
                    , jmpM = Nothing
                    }

Next we define the CPU and its ALU:

cpu :: Vec 7 Value          -- ^ Register bank
    -> (Value,Instruction)  -- ^ (Memory output, Current instruction)
    -> ( Vec 7 Value
       , (MemAddr, Maybe (MemAddr,Value), InstrAddr)
       )
cpu regbank (memOut,instr) = (regbank',(rdAddr,(,aluOut) <$> wrAddrM,fromIntegral ipntr))
  where
    -- Current instruction pointer
    ipntr = regbank !! PC

    -- Decoder
    (MachCode {..}) = case instr of
      Compute op rx ry res -> nullCode {inputX=rx,inputY=ry,result=res,aluCode=op}
      Branch cr a          -> nullCode {inputX=cr,jmpM=Just a}
      Jump a               -> nullCode {aluCode=Incr,jmpM=Just a}
      Load a r             -> nullCode {ldReg=r,rdAddr=a}
      Store r a            -> nullCode {inputX=r,wrAddrM=Just a}
      Nop                  -> nullCode

    -- ALU
    regX   = regbank !! inputX
    regY   = regbank !! inputY
    aluOut = alu aluCode regX regY

    -- next instruction
    nextPC = case jmpM of
               Just a | aluOut /= 0 -> ipntr + a
               _                    -> ipntr + 1

    -- update registers
    regbank' = replace Zero   0
             $ replace PC     nextPC
             $ replace result aluOut
             $ replace ldReg  memOut
             $ regbank

alu Add   x y = x + y
alu Sub   x y = x - y
alu Incr  x _ = x + 1
alu Imm   x _ = x
alu CmpGt x y = if x > y then 1 else 0

We initially create a memory out of simple registers:

dataMem :: HiddenClockReset domain gated synchronous
        => Signal domain MemAddr                 -- ^ Read address
        -> Signal domain (Maybe (MemAddr,Value)) -- ^ (write address, data in)
        -> Signal domain Value                   -- ^ data out
dataMem rd wrM = mealy dataMemT (replicate d32 0) (bundle (rd,wrM))
  where
    dataMemT mem (rd,wrM) = (mem',dout)
      where
        dout = mem !! rd
        mem' = case wrM of
                 Just (wr,din) -> replace wr din mem
                 _ -> mem

And then connect everything:

system :: (KnownNat n, HiddenClockReset domain gated synchronous) => Vec n Instruction -> Signal domain Value
system instrs = memOut
  where
    memOut = dataMem rdAddr dout
    (rdAddr,dout,ipntr) = mealyB cpu (replicate d7 0) (memOut,instr)
    instr  = asyncRom instrs <$> ipntr

Create a simple program that calculates the GCD of 4 and 6:

-- Compute GCD of 4 and 6
prog = -- 0 := 4
       Compute Incr Zero RegA RegA :>
       replicate d3 (Compute Incr RegA Zero RegA) ++
       Store RegA 0 :>
       -- 1 := 6
       Compute Incr Zero RegA RegA :>
       replicate d5 (Compute Incr RegA Zero RegA) ++
       Store RegA 1 :>
       -- A := 4
       Load 0 RegA :>
       -- B := 6
       Load 1 RegB :>
       -- start
       Compute CmpGt RegA RegB RegC :>
       Branch RegC 4 :>
       Compute CmpGt RegB RegA RegC :>
       Branch RegC 4 :>
       Jump 5 :>
       -- (a > b)
       Compute Sub RegA RegB RegA :>
       Jump (-6) :>
       -- (b > a)
       Compute Sub RegB RegA RegB :>
       Jump (-8) :>
       -- end
       Store RegA 2 :>
       Load 2 RegC :>
       Nil

And test our system:

>>> sampleN 31 (system prog)
[0,0,0,0,0,4,4,4,4,4,4,4,4,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2]

to see that our system indeed calculates that the GCD of 6 and 4 is 2.

Improvement 1: using asyncRam

As you can see, it's fairly straightforward to build a memory using registers and read (!!) and write (replace) logic. This might however not result in the most efficient hardware structure, especially when building an ASIC.

Instead it is preferable to use the asyncRam function which has the potential to be translated to a more efficient structure:

system2 :: (KnownNat n, HiddenClockReset domain gated synchronous) => Vec n Instruction -> Signal domain Value
system2 instrs = memOut
  where
    memOut = asyncRam d32 rdAddr dout
    (rdAddr,dout,ipntr) = mealyB cpu (replicate d7 0) (memOut,instr)
    instr  = asyncRom instrs <$> ipntr

Again, we can simulate our system and see that it works. This time however, we need to disregard the first few output samples, because the initial content of an asyncRam is undefined, and consequently, the first few output samples are also undefined. We use the utility function printX to conveniently filter out the undefinedness and replace it with the string X in the few leading outputs.

>>> printX $ sampleN 31 (system2 prog)
[X,X,X,X,X,4,4,4,4,4,4,4,4,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2]

Improvement 2: using blockRam

Finally we get to using blockRam. On FPGAs, asyncRam will be implemented in terms of LUTs, and therefore take up logic resources. FPGAs also have large(r) memory structures called Block RAMs, which are preferred, especially as the memories we need for our application get bigger. The blockRam function will be translated to such a Block RAM.

One important aspect of Block RAMs have a synchronous read port, meaning that, unlike the behaviour of asyncRam, given a read address r at time t, the value v in the RAM at address r is only available at time t+1.

For us that means we need to change the design of our CPU. Right now, upon a load instruction we generate a read address for the memory, and the value at that read address is immediately available to be put in the register bank. Because we will be using a BlockRAM, the value is delayed until the next cycle. We hence need to also delay the register address to which the memory address is loaded:

cpu2 :: (Vec 7 Value,Reg)    -- ^ (Register bank, Load reg addr)
     -> (Value,Instruction)  -- ^ (Memory output, Current instruction)
     -> ( (Vec 7 Value,Reg)
        , (MemAddr, Maybe (MemAddr,Value), InstrAddr)
        )
cpu2 (regbank,ldRegD) (memOut,instr) = ((regbank',ldRegD'),(rdAddr,(,aluOut) <$> wrAddrM,fromIntegral ipntr))
  where
    -- Current instruction pointer
    ipntr = regbank !! PC

    -- Decoder
    (MachCode {..}) = case instr of
      Compute op rx ry res -> nullCode {inputX=rx,inputY=ry,result=res,aluCode=op}
      Branch cr a          -> nullCode {inputX=cr,jmpM=Just a}
      Jump a               -> nullCode {aluCode=Incr,jmpM=Just a}
      Load a r             -> nullCode {ldReg=r,rdAddr=a}
      Store r a            -> nullCode {inputX=r,wrAddrM=Just a}
      Nop                  -> nullCode

    -- ALU
    regX   = regbank !! inputX
    regY   = regbank !! inputY
    aluOut = alu aluCode regX regY

    -- next instruction
    nextPC = case jmpM of
               Just a | aluOut /= 0 -> ipntr + a
               _                    -> ipntr + 1

    -- update registers
    ldRegD'  = ldReg -- Delay the ldReg by 1 cycle
    regbank' = replace Zero   0
             $ replace PC     nextPC
             $ replace result aluOut
             $ replace ldRegD memOut
             $ regbank

We can now finally instantiate our system with a blockRam:

system3 :: (KnownNat n, HiddenClockReset domain gated synchronous) => Vec n Instruction -> Signal domain Value
system3 instrs = memOut
  where
    memOut = blockRam (replicate d32 0) rdAddr dout
    (rdAddr,dout,ipntr) = mealyB cpu2 ((replicate d7 0),Zero) (memOut,instr)
    instr  = asyncRom instrs <$> ipntr

We are, however, not done. We will also need to update our program. The reason being that values that we try to load in our registers won't be loaded into the register until the next cycle. This is a problem when the next instruction immediately depended on this memory value. In our case, this was only the case when the loaded the value 6, which was stored at address 1, into RegB. Our updated program is thus:

prog2 = -- 0 := 4
       Compute Incr Zero RegA RegA :>
       replicate d3 (Compute Incr RegA Zero RegA) ++
       Store RegA 0 :>
       -- 1 := 6
       Compute Incr Zero RegA RegA :>
       replicate d5 (Compute Incr RegA Zero RegA) ++
       Store RegA 1 :>
       -- A := 4
       Load 0 RegA :>
       -- B := 6
       Load 1 RegB :>
       Nop :> -- Extra NOP
       -- start
       Compute CmpGt RegA RegB RegC :>
       Branch RegC 4 :>
       Compute CmpGt RegB RegA RegC :>
       Branch RegC 4 :>
       Jump 5 :>
       -- (a > b)
       Compute Sub RegA RegB RegA :>
       Jump (-6) :>
       -- (b > a)
       Compute Sub RegB RegA RegB :>
       Jump (-8) :>
       -- end
       Store RegA 2 :>
       Load 2 RegC :>
       Nil

When we simulate our system we see that it works. This time again, we need to disregard the first sample, because the initial output of a blockRam is undefined. We use the utility function printX to conveniently filter out the undefinedness and replace it with the string X.

>>> printX $ sampleN 33 (system3 prog2)
[X,0,0,0,0,0,4,4,4,4,4,4,4,4,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2]

This concludes the short introduction to using blockRam.