From e7b86bf0143c9bef1c26248fcda4fb2f2558b519 Mon Sep 17 00:00:00 2001 From: Marius Gavrilescu Date: Thu, 17 May 2018 14:09:26 +0300 Subject: [PATCH] Add report and artifacts used in it --- AIM-514-design.pdf | Bin 0 -> 39430 bytes AIM-514-ir.pdf | Bin 0 -> 33702 bytes devel-cover.png | Bin 0 -> 37699 bytes eval.svg | 286 +++++++++ gating.svg | 288 +++++++++ gc.svg | 404 +++++++++++++ gcram.svg | 225 +++++++ icestick.png | Bin 0 -> 741178 bytes module.svg | 1007 +++++++++++++++++++++++++++++++ reader.svg | 270 +++++++++ report.tex | 1427 ++++++++++++++++++++++++++++++++++++++++++++ writer.svg | 286 +++++++++ 12 files changed, 4193 insertions(+) create mode 100644 AIM-514-design.pdf create mode 100644 AIM-514-ir.pdf create mode 100644 devel-cover.png create mode 100644 eval.svg create mode 100644 gating.svg create mode 100644 gc.svg create mode 100644 gcram.svg create mode 100644 icestick.png create mode 100644 module.svg create mode 100644 reader.svg create mode 100644 report.tex create mode 100644 writer.svg diff --git a/AIM-514-design.pdf b/AIM-514-design.pdf new file mode 100644 index 0000000000000000000000000000000000000000..c348c0117626f037cb48bdd80490fcce2f1eb9fe GIT binary patch literal 39430 zcmZ^KeLR!vAOAUdXr8wy4=H;{iP(-*sDrVLBoZlNRw`1FNGa}Po_4CEQBs}L$zzF_ z98!wA#;NsiO2kTODLR-;j+r+1ef=(dfB*dc_|0Cn-Me>R_jO&Lhxh0G`FyMcS>E

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0000000..aa321f9 --- /dev/null +++ b/module.svg @@ -0,0 +1,1007 @@ + + + + + + + + + + + + image/svg+xml + + + + + + + + clk + addr + din + we + GCRAM + do + + + + + + + + + + + + + clk + cen + Ein + gcop + ram_do + ostate + conn_ea + conn_et + Eout + ram_di + ram_addr + ram_we + step_eval + GC + + Pout + + + + + + + + + + + + + + + + + + clk + cen + rx_byte + rx_signal + READER + active + ram_di + ram_addr + ram_we + + + + + + + + + + + + + clk + cen + tx_busy + P + ram_do + WRITER + tx_byte + tx_signal + finished + ram_addr + + + + + + + + + + + + + + clk + cen + rst + Ein + conn_ea + conn_et + EVAL + ostate + gcop + Eout + + + + + + + + + + + + + + diff --git a/reader.svg b/reader.svg new file mode 100644 index 0000000..8af3983 --- /dev/null +++ b/reader.svg @@ -0,0 +1,270 @@ + + + + + + + + + + + + image/svg+xml + + + + + + + + + + + clk + cen + rx_byte + rx_signal + READER + active + ram_di + ram_addr + ram_we + + + + + + + + + + + + + diff --git a/report.tex b/report.tex new file mode 100644 index 0000000..03a43ea --- /dev/null +++ b/report.tex @@ -0,0 +1,1427 @@ +\documentclass[a4paper,12pt]{report} +\usepackage{color} +\usepackage[cm]{fullpage} +\usepackage{graphicx} +\usepackage{hyperref} +\usepackage{listings} +\usepackage{pdfpages} + +\title{YULE: Yet Unnamed Lisp Evaluator} +\author{Marius Gavrilescu} +\date{May 2018} + +\begin{document} +% title page does not need anchors +\hypersetup{pageanchor=false} +\maketitle +\hypersetup{pageanchor=true} +\lstset{language=Perl, frame=leftline, framexleftmargin=5pt, + showstringspaces=false, showspaces=false, breaklines=true, + postbreak=\mbox{\textcolor{red}{$\hookrightarrow$}\space}} + +\chapter*{Abstract} +Lisp machines are computers designed to run Lisp programs efficiently. +They were first developed in the 1970s, and they have special hardware +support for Lisp. This usually comprises a tagged architecture (each +pointer has a ``type'' field), garbage collection implemented in +hardware, and an instruction set that lends itself well to evaluating +Lisp expressions. + +Between 1975 and 1980, Guy L. Steele and Gerald Jay Sussman wrote a +series of memos on lambda calculus, the Lisp language and its +implementation known collectively as the ``Lambda Papers''. One of +these papers, ``Design of LISP-Based Processors (1979)'' describes how +to implement a Lisp machine processor. If this processor is connected +to a RAM that contains a program, it executes that program and places +the result back into the RAM. + +The aim of YULE is to take the design from the 1979, implement it +today using modern technology and techniques, and bundle it up in a +form that is both easy to use and extend. By going through this +modernisation process, future developers can easily integrate the Lisp +processor into their own design, modifying it as they please. + +The end result of YULE is a small device that can be plugged into a +USB port, and an associated computer program. Running the program +presents a simplified Lisp listener. The user can type a Lisp +expression into the listener, and the listener will respond with the +value of the expression. Under the hood, the listener evaluates Lisp +by sending the expression over USB to the small device and getting +back the result. + +YULE comes with the design files for the hardware, and source code for +the software. All of these are released under a free software license +and published online, which makes it very easy (from both a practical +and a legal standpoint) for future developers to use in their own +projects and modify to fit their purposes better. +\tableofcontents + +\chapter{Introduction} +\section{Motivation} +Lisp machine processors are quite unlike modern processors. Modern +instruction sets are designed for imperative programming. Each +instruction makes the processor execute some operation, such as +loading a register or storing a value in memory. In contrast, a Lisp +machine processor reads an expression from memory, determines its +type, and recursively evaluates it. This operation lends itself to +declarative programming, where the programmer declares an arbitrarly +complicated expression and asks the computer to evaluate it. + +Another common feature of Lisp machine processors is the use of tagged +pointers. Each memory location is a tagged union of two elements: the +value itself, and a tag representing the type of that data. Tagged +architectures are not common today, although some programs still +use tagged pointers by exploiting pointer alignment (if every pointer +is a multiple of 8, then the bottom 3 bits can be used to store a +tag). These tags can be used to store an object's reference count (as +in Objective-C on certain versions of iOS), or information about a +data structure (as in certain implementations of kd-trees). + +The ``Design of LISP-Based Processors (1979)'' paper by Guy L. Steele +and Gerald Jay Sussman \cite{lambda} presents the design of a +relatively simple Lisp machine processor, which is made from two +read-only memories, two buses, and several registers. If this +processor is connected to a RAM containing a Lisp expression in a +certain binary format, the processor will evaluate the expression and +place the result back in memory. + +This processor features both a tagged architecture (the top 3 bits of +each word in memory represent the value's type) and the declarative +nature mentioned above. It is therefore interesting to study and to +bring this processor into today's world by using technology such as +hardware description languages (that allow us to describe a circuit +formally) and FPGAs (that allow us to synthesise any circuit quickly +and at low cost). By building a HDL implementation of the processor +not only can it be used easily on its own (by synthesising it to a +FPGA and connecting it to RAM), but a future circuit designer can take +this processor and include it in their more complicated design. + +The processor presented in the original paper is a somewhat barebones +implementation of Lisp. Arithmetic primitives are not available, nor +are there any input or output routines. Due to time constraints the +paper's writers have not included a equality primitive. Additionally +the ATOM primitive has a bug that makes it consider NIL not atomic. +All these deficiencies can be rectified given time and effort, but it +is difficult for one to fix them given only a paper describing the +processor. Having a HDL implementation of the processor with a proper +test suite allows a future circuit designer to more easily make +changes to the processor while using the test suite to prevent +regressions and using a FPGA to quickly obtain a hardware version of +the changed processor that can be manually tested and used in any +desired application. + +\section{Challenges} +While \cite{lambda} is part of the well-known Lambda Papers series and +has been read by many over the years, there are no published +implementations of the processor described in the paper. Therefore +\cite{lambda} was the only source used in the building of this +project, and several of the limitations of the processor were not easy +to see before the implementation phase was well underway. Furthermore, +the original paper has several shortcomings. + +For one, while the microcode (the values of the two read-only +memories) is provided in both source and compiled form, the microcode +compiler is not provided. This makes it difficult to alter the +microcode to fix bugs or introduce new instructions. One needs to +either work on the already-compiled code (hard and error-prone) or +reimplement the microcode compiler, which takes a reasonable amount of +effort. + +Moreover, the paper does not concern itself at all with how the user +gets a program into memory or how the user gets the result back. This +makes the processor as-described very difficult to use. + +To implement the processor in Verilog, no source other than the paper +was used. There were no previous implementations of the processor that +could be consulted to resolve unclarities in the original paper. + +In addition, there was no software available for interacting with the +processor. A compiler and assembler had to be written from scratch, +and so the processor could not be easily debugged until after the +software was functional. + +\section{Contribution} +YULE is a modern-day implementation of a Lisp machine processor using +the ideas and techniques presented in \cite{lambda}. + +The main contribution of YULE is a Verilog implementation of the +processor which allows future circuit designers to use it in their own +design and modify it as they please. + +As the processor as described has no way to input a program or extract +a result from memory, YULE includes more circuitry around the +processor that lets it communicate with the external word. This +consists of a serial UART and two modules, a reader and a writer. When +the processor is idle, the reader waits for a program to be sent over +the UART. Once a program has been received, it is placed into memory +and the processor starts to evaluate it. Once evaluation is done, the +writer transmits the new contents of the memory over the UART. + +Besides the hardware chip, YULE also includes three pieces of +software: + +\begin{itemize} +\item a compiler, which takes Lisp source code and produces an + intermediate representation of the program. +\item an assembler, which takes a program in the intermediate + representation and produces the binary representation of the program + that the processor can understand. +\item a REPL, in which users can type expressions. When an expression + is submitted, the REPL compiles it, assembles it, and sends it to + the processor. The processor evaluates the expression and sends back + a memory dump. The REPL then reads the memory dump, interprets it, + and prints the value of the expression in a human-readable format. +\end{itemize} + +The REPL is therefore the entry point of YULE as a whole. An end-user +who does not intend to extend YULE can plug in an iCEstick with the +processor, and run the REPL. Then the user can write expressions in +the REPL and get their values back. Besides being the entry point, the +REPL serves as a convenient way to test that the entire system is +working. An expression typed in the REPL goes through the compiler and +assembler, and then is sent to the processor. It goes through the +three stages of the processor (reading the expression into memory, +evaluating the contents of the memory, writing a memory dump). + +The hardware and software components of YULE have been tested to +ensure they function correctly. There is an automated test suite +containing 48 unit tests for the compiler and assembler, and 21 +functional tests that engage all parts of the system (both the +software and the hardware). The unit tests ensure that the various +small parts of the compiler and assembler work properly, while the +functional tests consist of pairs of short Lisp expressions and their +correct values. The expressions are written to the REPL, and the +REPL's output is compared to the correct values. + +To make it easier for future circuit designers and programmers to use +this project, YULE has been released under an open source license. +Prospective users can find all the source files (for both hardware and +software) online, and are free to use, modify, and redistribute them +under the same terms as Perl itself. The files can be accessed at this +URL: \url{https://git.ieval.ro/?p=yule.git}. + +\section{Layout of this report} +This report begins by describing the background of YULE, the +technologies that made this project possible and a more in-depth +description of the 1979 paper. Then the components that YULE comprises +are examined in turn, followed by a chapter on how everything was +tested, which includes a worked example of the system in action. The +report ends with a list of ideas for future work based on YULE, and a +section on reflections. + +\chapter{Background} + +\section{Field-programmable gate array} +An FPGA is a configurable integrated circuit. A designer can define a +circuit using a hardware description language (explained in the next +section) and compile it to some binary format called a configuration. +This configuration describes how the different components of the FPGA +should be connected to each other. The configuration can then be +uploaded to the FPGA, and the FPGA will connect its internal +components as requested. + +An FPGA can therefore replace any digital custom circuit (ASIC). While +an FPGA consumes more energy, uses more space, and runs at slower +clock rates than an ASIC, the FPGA permits rapid prototyping: the time +between finishing to write a design and having a working part is mere +seconds (compilation time + uploading the configuration to the FPGA), +and if a bug is discovered the buggy part need not be thrown away. The +design can be modified and the fixed configuration can be uploaded to +the FPGA. + +The hardware aspect of YULE is designed to run on the Lattice +iCE40HX-1k FPGA, but with small modifications it can run on other +FPGAs as well. + +\subsection*{iCEstick} +\begin{figure} + \centering + \includegraphics[height=4cm]{icestick.png} + \caption{Lattice iCEstick Evaluation Kit} +\end{figure} + +The Lattice iCEstick Evaluation Kit is a development board for the +iCE40HX-1k FPGA. It contains the FPGA, a USB connector, a FTDI chip +and 5 LEDs. The form factor is very convenient. It is similar to a USB +memory stick (albeit bigger) that can be plugged into a computer, +avoiding the need for jumper wires and GPIO that traditional +development boards require. + +The FTDI chip implements the USB protocol, allowing the FPGA to be +programmed by the computer and letting the FPGA talk to the computer +using a very simple serial UART interface on the FPGA side, and a +standard USB serial port on the computer side. This makes +communication very easy. The FPGA can use any off-the-shelf UART +implementation (this project uses \texttt{osdvu} from +Opencores \cite{osdvu}), and the computer can use standard serial +console tools such as \texttt{minicom}. + +\section{Verilog} +Verilog is a hardware description language. It is used to model +digital circuits at register-transfer level of abstraction. In Verilog +one defines several modules, with one of them (the ``toplevel'' +module) representing the entire design. Each module has several inputs +and outputs, can contain internal wires, can contain instances of +other modules, and can contain combinational and sequential logic +blocks that drive internal wires and outputs. + +Verilog has many more complicated features that are not used in YULE. +These include tristate buffers, delays, functions, tasks, loops, and +strength declarations. + +A subset of Verilog can be \textit{synthesised}; that is converted to +a netlist (a list of transistors or FPGA components used and +connections between them) that can then be used to build an ASIC +(custom integrated circuit), or can be further converted to the +internal representation of the FPGA and uploaded to the FPGA. The FPGA +workflow and the programs that are part of it are described in the +next section. + +A verilog project can also be run through a simulator, which simulates +the design clock edge by clock edge and records the values on each +wire in the design. This record can later be read in and visualised +with a wave viewer, which allows a circuit designer to better +understand why the circuit is not working correctly. One such program, +GTKWave \cite{gtkwave}, was used to debug YULE. + +\section{icestorm} +Project IceStorm \cite{icestorm} is a set of open source reverse +engineered tools for programming Lattice iCE40 FPGAs. There exists a +fully open source Verilog-to-Bitstream flow which comprises: + +\begin{enumerate} +\item Yosys, a Verilog synthetizer. +\item Arachne-pnr, a tool that implements placing and routing for + iCE40 FPGAs. +\item icepack, which converts Arachne-pnr's output to iCE40 bitstream. +\item iceprog, which programs the iCEstick with the output of icepack. +\end{enumerate} + +\section{Design of LISP-Based Processors (1979)} +Design of LISP-Based Processors (1979) \cite{lambda} is one of the +``Lambda papers''; a series of memos by Sussman and Steele about the +Lisp language and its implementation. The paper describes SIMPLE, a +microprocessor designed to run Lisp. + +This processor is made of two read-only memories called EVAL and GC. +Each read-only memory is paired with state registers to form a state +machine. The contents of the state registers are fed into the +read-only memory, and the output of the read-only memory determines +the next state and other signals. + +Each state machine also has an internal bus (called the E and G buses +respectively) and several registers connected to that bus. Each of +these registers stores a tagged pointer, which is an 11-bit value (the +top 3 bits represent the type, and the bottom 8 bytes represent the +value). + +The signals coming out of each state machine can cause a register to +be read onto the machine's internal bus, a register to be loaded from +the internal bus, or write a constant value onto the internal bus. + +The GC state machine represents the processor's memory system. It is +connected to an external RAM, which it controls through several +signals. It knows how to execute certain ``GC operations'', which +represent common Lisp memory management actions. Examples of these are +\texttt{CAR} and \texttt{CDR} (``given a pointer to a cons cell, +return either the CAR or the CDR of that cons cell'') or \texttt{CONS} +(``given two pointers, allocate a new cons cell, copy them into it, +and return a pointer to the new cons cell''). The existence of the GC +isolates the rest of the processor from the particularities of the +memory used. + +The EVAL state machine evaluates Lisp expressions. Signals coming out +of it control the GC by selecting what operation the GC should perform +and connecting the E and G buses to supply arguments to the GC and +read results back. The EVAL reads expressions from memory via the GC +and evaluates them, putting results back into memory. + +The overall operation of the processor is to read an expression from +the magic location ``5'' in memory, evaluate it, and place the result +into the magic location ``6'' in memory. Other memory locations are +used to store subexpressions of the input expression, and to store any +intermediate results. Despite its name, GC does not perform any +garbage collection, so at the end of the processor's operation the +memory will still contain all intermediate results produced during +evaluation. + +The processor is intended as a proof of concept and not a +production-ready hardware implementation of Lisp. Therefore it has +several important limitations, for example there is no primitive +operation that implements equality of objects (making it impossible to +distinguish between symbols), there are no primitive arithmetic +operations (so one needs to use Church numerals if numbers are +needed), and the processor includes a known bug (``the ATOM bug''). +The bug is that the ATOM primitive considers NIL to be non-atomic, +which is incorrect. + +The Lisp expressions mentioned here are in textual form (Lisp source +code), but instead in a special tagged pointer format. Each memory +value is a union of two values: a 8-bit pointer and a 3-bit type. We +can use pairs of consecutive memory locations to represent cons cells +and build linked lists out of them. If a list is at location X, that +means that (X, X+1) is the first cons cell of the list, with X+1 being +the CAR (the value of the first element) and X being the CDR (a +pointer to the next cons cell). A discussion of the different ways to +represent Lisp expressions (source code, this tagged pointer format, +and an intermediate representation) can be found in \ref{sec:formats}. + +The next page shows a diagram of how the processor in the paper is +structured. The two read-only memories can be seen, with their +registers, state registers, and the interconnection between the E and +G buses. + +\begin{figure} +\centering\includegraphics[width=18.5cm]{AIM-514-design.pdf} +\caption{Design diagram of processor from \cite{lambda}} +\end{figure} + +\chapter{A Lisp Machine processor on a USB drive} +The project comprises a hardware part written in Verilog and a +software part written in Perl. + +The hardware part is a Lisp machine processor with associated +circuitry that can read a program from the iCEstick UART and that can +write the result of running a program to the UART. The normal +operation of this part is to: + +\begin{enumerate} +\item Wait for a program to be supplied via UART +\item Run the program on the processor +\item Write a memory dump to the UART +\item Go back to step 1 +\end{enumerate} + +The software part includes: + +\begin{itemize} +\item A compiler, which takes Lisp source code and puts it in the + linked list format understood by the SIMPLE processor +\item An assembler, which takes the result of the compiler and + converts it to the SIMPLE in-memory binary format. +\item A REPL, which repeatedly reads a program from the user, compiles + it, assembles it, sends it to YULE, reads the memory dump from YULE, + and prints the result for the user to see. +\end{itemize} + +\clearpage +\section{Hardware} +The hardware part is built from 8 modules: + +\begin{enumerate} +\item The \textbf{READER}, which implements step 1 of the normal operation described above. +\item The \textbf{WRITER}, which implements step 3 of the normal operation described above. +\item The \textbf{GCRAM}, a single-port RAM. +\item The \textbf{GC}, corresponding to the GC PLA in the original implementation. +\item The \textbf{EVAL}, corresponding to the EVAL PLA in the original implementation. +\item The \textbf{CTRL}, which advances the operation from one step to the next one. +\item The \textbf{UART}, which implements transmission and reception of bytes via UART. +\item The \textbf{CPU}, which instantiates every module above and wires them together. +\end{enumerate} + +\subsection{Clocks} +To avoid timing problems, a single 48 MHz clock is used. The iCEstick +has a 12 MHz oscillator, and the phase-locked loop circuitry on the +FPGA multiplies this signal by 4. + +Every flip-flop updates on the positive edge of the clock, except for +the RAM which updates on the negative edge. This way the rest of the +circuit perceives the RAM to be combinational (it ``updates +immediately''): if on a positive edge the RAM's address input changes, +the RAM will update its output on the following negative edge and the +changed output will be visible on the next positive edge. If the RAM +updated on a positive edge, then if the input changed on positive edge +$i$ the changed output will only be visible on positive edge $i+2$. + +The design is intended to be run on a FPGA, which has a fixed clock +tree. This typically consists of a small number of special nets called +global buffers that can distribute signals with minimal skew to every +logic cell. The FPGA on the iCEstick has 8 such global buffers. + + +There are 4 components in the design (GC, EVAL, READER, WRITER) that +need to be enabled/disabled at different times. One way to achieve +this is to AND the master 48 MHz clock with several signals, thus +creating a separate clock for each component. This is known as +\textit{clock gating}. However, on a FPGA clock gating involves +routing the clock from a global buffer to a logic cell and then back +to another global buffer. This can introduce glitches in the clock and +would delay each of the clocks by some amount (dependent on the +signals it is ANDed with). It is therefore possible that the 4 output +clocks would not be aligned, causing problems when data is +communicated by one component to another. As such, clock gating is not +recommended on FPGAs. + +\begin{figure} + \centering\includegraphics[height=3cm]{gating.eps} + \caption{Gated clock on the left, clock enable on the right} +\end{figure} + +To avoid this problem, the design used here does not use clock gating +and instead uses 4 clock enable signals supplied by the controller to +each of the GC, EVAL, READER and WRITER. At any point the clock is +enabled for exactly one of the READER, GC, and WRITER. The EVAL clock +is enabled if and only if the GC clock is enabled and the GC's +\texttt{step\_eval} output is high. + +\clearpage +\subsection{GC} +\begin{figure} + \centering\includegraphics[height=4.88cm]{gc.eps} + \caption{GC module} +\end{figure} + +The GC module is connected to the GCRAM (via the \texttt{ram\_do, + ram\_we, ram\_addr, ram\_di} signals), to the EVAL (via the +\texttt{Ein, Eout, gcop, step\_eval, conn\_et, conn\_ea} signals) and +to the controller. It also provides the value of its P register (the +free storage pointer) to the WRITER, so the writer can know when to +stop dumping the memory. + +It is implemented as a combinational ROM, some combinational logic to +drive the internal G bus, sequential logic to advance to the next +state respecting dispatch rules, and sequential logic to update +registers. The clock enable signal acts as an active low synchronous +reset: when the clock is disabled, the state register is set to the +initial state. + +This module represents one half of the original design presented in +\cite{lambda}, and the ROM's contents are those from the paper with a +bugfi (the original design sets the ADR line low in two states when it +should be high). + +\subsection{EVAL} +\begin{figure} + \centering\includegraphics[height=3.29cm]{eval.eps} + \caption{EVAL module} +\end{figure} + +The EVAL module is connected to the GC (via the \texttt{conn\_et, + conn\_ea, Ein, Eout, gcop} signals) and to the controller. + +The implementation of the EVAL is very similar to that of the GC. +There is a combinational ROM, combinational logic to drive the E bus, +sequential logic to advance to the next state respecting dispatch +rules, and sequential logic to update registers. A synchronous reset +is available. When the reset line is held high for one clock cycle, +the state register is set to the initial state. It is necessary to +separate the reset from the clock enable because the GC often pauses +the EVAL to do work and the EVAL should not be reset every time this +happens. + +This module represents the other half of the original design presented +in \cite{lambda}, and the ROM's contents are the same as those in the +paper except that the ROM is widened by one bit to indicate whether +the EVAL is finished evaluating the expression. + +\clearpage +\subsection{Writer} +\begin{figure} +\centering\includegraphics[height=2.26cm]{writer.eps} +\caption{WRITER module} +\end{figure} + +The WRITER module is connected to the UART (via the \texttt{tx\_busy, + tx\_signal, tx\_byte} signals), the GC (via the \texttt{P} signal), +the RAM (via the \texttt{ram\_addr, ram\_do} signals), and to the +controller. + +Its purpose is to dump the memory to the UART starting with position 4 +(since positions 0, 1, 2, 3 are constant) and finishing with position +$P - 1$, the last used cell in memory. It is implemented as a state +machine with 7 states and an extra register (\texttt{current\_index}) +that stores the current index in the memory. + +The memory is 16-bit wide, but the UART sends and receives bytes. The +writer dumps memory word in network byte order (big-endian), meaning +the significant byte is sent before the least significant byte. + +The states are, in order: +\begin{description} +\item[START] which initializes \texttt{current\_index} to 4 +\item[WRITE1\_WAIT] which waits for \texttt{tx\_busy} to become low +\item[WRITE1] in which transmission of the upper byte starts +\item[WRITE2\_WAIT] which waits for \texttt{tx\_busy} to become low +\item[WRITE2] in which transmission of the lower byte starts +\item[INCREMENT] in which \texttt{current\_index} is incremented, + jumping back to WRITE1\_WAIT if it is still lower than + \texttt{freeptr}. +\item[FINISHED] in which \texttt{finished} is driven high +\end{description} + +This module is not part of the original design in \cite{lambda}, as +that paper did not concern itself with input and output. + +\clearpage +\subsection{Reader} +\begin{figure} +\centering\includegraphics[height=2.22cm]{reader.eps} +\caption{READER module} +\end{figure} + +The READER module is connected to the UART (via the +\texttt{rx\_signal, rx\_byte} signals), the RAM (via the +\texttt{ram\_we, ram\_addr, ram\_di} signals), and to the controller. + +Its purpose is to read a program from the UART and overwrite the GCRAM +with this program. It is implemented as a state machine with two extra +registers (\texttt{total\_words} and \texttt{current\_index}) to store +the size of the incoming program and the current position within it. + +The reader expects to receive a 13-bit \texttt{length} value, followed +by \texttt{length} 16-bit values that represent the desired memory +contents. Each of these values is sent in network byte order +(big-endian), meaning the most significant byte is sent before the +least significant byte. + +The states are, in order: +\begin{description} +\item[IDLE] which waits for \texttt{rx\_signal}, puts the read byte at the top of \texttt{total\_words}. +\item[LENGTH] which waits for \texttt{rx\_signal}, puts the read byte at the bottom of \texttt{total\_words} +\item[READ1] which waits for the \texttt{rx\_signal}, puts the read byte at the top of \texttt{ram\_di} and increments \texttt{current\_index} +\item[READ2] which waits for the \texttt{rx\_signal}, puts the read byte at the bottom of \texttt{ram\_di} +\item[WRITE] in which \texttt{ram\_we} is high, jumping back to READ1 if \texttt{current\_index + 1 < total\_words} +\item[FINISHED] in which \texttt{finished} is high +\end{description} + +This module is not part of the original design in \cite{lambda}, as +that paper did not concern itself with input and output. + +\clearpage +\subsection{Putting the hardware together} +The components described above are managed by the controller, which +provides them with clock enable signals. The controller is a state +machine with three states: +\begin{description} +\item[STATE\_READ] in which only the READER clock is enabled +\item[STATE\_RUN] in which the GC and EVAL clocks are enabled +\item[STATE\_WRITE] in which only the WRITER clock is enabled +\end{description} + +In STATE\_READ and STATE\_WRITE, the EVAL's reset line is high. + +Whenver the component corresponding to the current state indicates it +is finished, the controller advances to the next state. + +The controller also includes three multiplexers that control which +lines are connected to the GCRAM. If the READER is active, all three +GCRAM lines are connected to the READER. If the WRITER is active, the +address line is connected to the writer (and the other lines are +connected to the GC). If the GC is active, all lines are connected to +the GC. + +The controller also includes logic to drive the 5 LEDs on the +iCEstick. Three LEDs indicate the current state, while the other two +indicate if the UART is currently transmitting or receiving. + +\section{Representing a Lisp program} +\label{sec:formats} +The processor described above evaluates a Lisp program received via +UART. This section talks about three representations of such a +program: the Lisp source code (a S-expression), the intermediate form +(also a S-expression), and the in-memory form (a binary string). + +The first representation is obtained by parsing the user input, the +compiler converts this into the second, and the assembler converts the +second into the third. + +\subsection{Lisp source code} +Recall that a S-expression is either an atom or a cons cell. + +An atom is a sequence of letters, digits, and certain symbols. There +are two special atoms named \texttt{T} and \texttt{NIL} representing +the boolean true and false respectively. + +A cons cell is a pair of two S-expressions called the ``car'' and the +``cdr''. We write them as \texttt{(car . cdr)}, for example \texttt{(5 + . 7)} is a cons cell with car \texttt{5} and cdr \texttt{7}. + +We can use cons cells to represent linked lists. A linked list is a +sequence of cons cells where the cdr of one cell is the next cell, and +the cdr of the last cell is \texttt{NIL}. For example the list +\texttt{1,2,3} can be written as \texttt{(1 . (2 . (3 . NIL)))}. +We can also write this list more concisely as \texttt{(1 2 3)}, and we +write \texttt{()} to mean the atom \texttt{NIL}. + +Using these syntax elements we can encode several types of logical +expressions: + +\begin{itemize} +\item Numbers are encoded as numeric atoms, e.g. \texttt{5} +\item Variables are encoded as non-numeric atoms, e.g. \texttt{my-var} +\item Conditional statements are encoded as 4-element lists, e.g. + \texttt{(if is-odd 5 6)} which has value 5 if the variable + \texttt{is-odd} is not \texttt{NIL} and value 6 otherwise +\item Symbols are encoded as non-numeric atoms preceded by a single + quote, e.g. \texttt{'my-symbol}. This can also be written + \texttt{(quote my-symbol)} +\item Constant lists are encoded as lists preceded by a single quote, + e.g. \texttt{'(1 2 (3 4 5))}. This can also be written + \texttt{(quote (1 2 (3 4 5)))} +\item Functions (lambda abstractions) are encoded as 4-element lists, + e.g. \texttt{(lambda first (a b) a)} in which the second element is + the function name, the third element is a list of function + arguments, and the fourth element is the function body. +\item Function calls are encoded as lists, with the function as the + first element and the arguments as the other elements, e.g. + \texttt{(atom 5)} calls the function \texttt{atom} with argument + \texttt{5}. +\end{itemize} + +\subsection{In-memory representation} +The memory is an array of 16-bit integer values. We interpret these as +tagged pointers: the top 3 bits indicate the ``type'' of this pointer, +while the other 13 bits represent another memory location. A pointer +therefore has a type and a value. + +We represent each Lisp expression as a tagged pointer. To evaluate it, +the processor looks at the type of the pointer. Here is what a pointer +of value $v$ means based on its type. We use the syntax $mem[a]$ to +mean ``the contents of the memory location $a$'' (that is, a tagged +pointer) and $memval[a]$ to mean ``the value at the memory location +$a$'' (that is, the value of the tagged pointer $mem[a]$). + +\begin{enumerate} +\setcounter{enumi}{-1} +\item is a constant list, whose cdr is $mem[v]$ and car is $mem[v+1]$. +\item is a constant symbol. +\item is a variable reference, where $v$ indicates the position in the + environment of the referenced variable. +\item is a constant closure, that is the result of evaluating a lambda + abstraction. Values of this type do not normally appear in the input + code, but instead are created during evaluation of other forms. +\item is a procedure (lambda abstraction), whose body is $mem[v]$. +\item is a conditional, where $mem[v+1]$ is the condition, + $mem[memval[v]+1]$ is the ``then'' branch, and $mem[memval[v]]$ is the + ``else'' branch. +\item is a procedure call, which points to a special kind of linked + list. The CDR of each cell (other than the last one) points to the + next cell and has type 0, while the CDR of the last cell has value 0 + and its type indicates the primitive to be called. The CARs of these + cells indicate the arguments for the procedure, in reverse order. + + To call a user-defined procedure, we use the primitive + \texttt{funcall} and put the user-defined procedure as the CAR of + the last cell (in other words, the user-defined procedure is the + first argument to \texttt{funcall}). +\item is a quoted constant, representing the object at $mem[v]$. +\end{enumerate} + +The booleans \texttt{NIL} and \texttt{T} are compiled to a list +pointing to 0, and a symbol with value 2 respectively. + +The memory has a peculiar fixed layout. Locations 0 and 1 are the CDR +and CAR of NIL, locations 2 and 3 are the CDR and CAR of T, location 4 +holds the first unused location in memory (this tells the processor +where it can start to place intermediate expressions), location 5 +holds the expression to be evaluated, and location 6 is where the +processor will place the value of the expression. + +\subsection{The intermediate form} +To facilitate conversion from the former format to the latter, an +intermediate form is used. Here we represent tagged pointers as lists +of one of three types: + +\begin{itemize} +\item \texttt{(type value)}, where ``type'' is the pointer's type and + ``value'' is the pointer's (numeric) value. +\item \texttt{(type ptr)}, where the pointer's type is ``type'' and + the pointer's value is $x$, where $x$ is the memory location where + ``ptr'' (another tagged pointer) lies. +\item \texttt{(type ptr1 ptr2)}, where the pointer's type is ``type'' + and the pointer's value is $x$, where $x$ is the memory location + where ``ptr1'' lies and $x+1$ is the memory location where ``ptr2'' + lies. +\end{itemize} + +These three representations map nicely to the tagged pointers +described in the previous section. The first representation is used +for constant symbols and variable references, the second for +procedures, and the third for constant lists, conditionals, and +procedure calls. + +A visual representation of the intermediate representation (from the +AIM-514 paper) can be seen on the next page. The expression in +question is + +\begin{lstlisting} +((lambda append (x y) (if (atom x) y (cons (car x) (append (cdr x) y)))) '(a b c) '(d e f)) +\end{lstlisting} + +which we would represent as this sexp: + +\begin{lstlisting} +(CALL (MORE (MORE (FUNCALL 0) (PROC (IF (LIST (CALL (MORE (CONS 0) (CALL (MORE (MORE (FUNCALL 0) (VAR -1)) (VAR -2)) (CALL (CDR 0) (VAR -3)))) (CALL (CAR 0) (VAR -3))) (VAR -2)) (CALL (ATOM 0) (VAR -3))))) (LIST (LIST (LIST (LIST 0) (SYMBOL 6)) (SYMBOL 7)) (SYMBOL 8))) (LIST (LIST (LIST (LIST 0) (SYMBOL 3)) (SYMBOL 4)) (SYMBOL 5))) +\end{lstlisting} + +As mentioned in the Background chapter, the processor has a bug (the +ATOM bug) that causes \texttt{(ATOM NIL)} to be true. As a result, +\texttt{(atom x)} in this expression is always true, even when +\texttt{x} is the empty list, and the expression loops forever (or at +least until memory is exhausted). We can fix this by changing the +condition from \texttt{(atom x)} to \texttt{x}, which is false when +\texttt{x} is NIL and true otherwise, and swapping the two branches of +the conditional. The fixed program is: + +\begin{lstlisting} +((lambda append (x y) (if x (cons (car x) (append (cdr x) y)) y)) '(a b c) '(d e f)) +\end{lstlisting} + +which is compiled to the sligthly shorter sexp: + +\begin{lstlisting} +(CALL (MORE (MORE (FUNCALL 0) (PROC (IF (LIST (VAR -2) (CALL (MORE (CONS 0) (CALL (MORE (MORE (FUNCALL 0) (VAR -1)) (VAR -2)) (CALL (CDR 0) (VAR -3)))) (CALL (CAR 0) (VAR -3)))) (VAR -3)))) (LIST (LIST (LIST (LIST 0) (SYMBOL 6)) (SYMBOL 7)) (SYMBOL 8))) (LIST (LIST (LIST (LIST 0) (SYMBOL 3)) (SYMBOL 4)) (SYMBOL 5))) +\end{lstlisting} + + +\begin{figure} +\centering\includegraphics[width=18.5cm]{AIM-514-ir.pdf} +\caption{Example of intermediate representation} +\end{figure} + +\section{Software} +\subsection{Compiler} +The compiler takes in Lisp code and translates it to a sexp-based +format understood by the assembler. + +The compiler has several functions for compiling certain kinds of +expressions, and a function (\texttt{process\_toplevel}) that uses the +former to compile arbitrary expressions. + +The output from any of this functions is a sexp in the intermediate +form described in the previous section. + +Symbols are identified by sequences of letters on the source code side +and by numbers on the processor side. The compiler therefore keeps a +mapping between symbol names and their numbers. Whenever a new symbol +is encountered, a new entry is added to this map. + +The \texttt{process\_quoted} function handles constants. For example +if the source code contains \texttt{'(1 2 3)} then +\texttt{process\_quoted} is called with \texttt{(1 2 3)}. This +function handles the symbol interning described in the previous +paragraph, and converts its input to intermediate form. + +The \texttt{process\_proc} function handles lambda abstractions. For +example if the source code contains \texttt{(lambda first (a b) a)} +then \texttt{process\_proc} is called with \texttt{first}, +\texttt{(a b)}, and \texttt{a}. This function appends the function +name and arguments to the environment, then processes the body (using +\texttt{process\_toplevel}) with the new environment. + +The \texttt{process\_funcall} function handles function calls. For +example if the source code contains \texttt{(reverse-list 2 1)} then +\texttt{process\_funcall} is called with \texttt{reverse-list}, and +\texttt{(2 1)}. The arguments are first processed (using +\texttt{process\_toplevel}), then (if the function is not a primitive) +the function is processed as well. + +Finally the \texttt{process\_toplevel} handles any expression by +figuring out what sort of expression it is and then processing it +appropriately. Empty lists and \texttt{NIL} become \texttt{(list 0)}, +numbers and \texttt{T} are processed with \texttt{process\_quoted} + +Examples of compiler operation can be found in the compiler tests. +Here are a few of them: + +\begin{itemize} +\item The Lisp expression \texttt{'()} is compiled to \texttt{(LIST 0)} +\item The Lisp expression \texttt{'(5 foo)} is compiled to + \texttt{(LIST (LIST (LIST 0) (SYMBOL 3)) (SYMBOL 4))}. Observe that + the CDR comes before the CAR, and symbols are interned: + \texttt{'foo} is compiled to \texttt{(SYMBOL 3)} and \texttt{'5} is + compiled to \texttt{(SYMBOL 4)} +\item The Lisp expression \texttt{(if t '(2 3) 'x)} is compiled to + \texttt{(IF (LIST (SYMBOL 5) (LIST (LIST (LIST 0) (SYMBOL 3)) + (SYMBOL 4))) (SYMBOL 2))}. Observe that \texttt{t} is always + compiled to \texttt{(SYMBOL 2)}, as mentioned in the section about + the memory format. +\end{itemize} + +\subsection{Assembler} +The assembler takes in an S-expression in the intermediate form, lays +out the words in memory, and produces a memory dump that can be +supplied to the processor. + +The core of the assembler is a function called \texttt{process} that +takes an expression in intermediate form and an optional location in +memory. This function lays out the expression's subexpressions in +memory and then lays out the expression itself at the given location +(or at the end of the memory if there is no location given). + +The assembler begins by initializing the first 7 elements of the +memory with the values needed by the processor. After initialization, +the \texttt{process} function is called on the input expression with +no location. + +Here is how the \texttt{process} function lays out the expression +$expr$ at location $l$ (where $l$ can be a given memory location or +simply ``the first free location in memory''): + +\begin{itemize} +\item If $expr$ is \texttt{(type value)}, then it is directly laid out + at $l$ +\item If $expr$ is \texttt{(type ptr)}, then \texttt{process} is + called recursively to lay \texttt{ptr} out at the first free + location in memory (say this is location $loc$). Then \texttt{(type + $loc$)} is laid out at $l$. +\item If $expr$ is \texttt{(type ptr1 ptr2)}, then two consecutive + free locations in memory $loc$ and $loc+1$ are reserved, + \texttt{process} is recursively called twice to lay \texttt{ptr1} at + $loc$ and \texttt{ptr2} at $loc+1$, and finally + \texttt{(type $loc$)} is laid out at $l$. +\end{itemize} + +Once again, examples of assembler operations can be found in the +assembler tests. Two of them: + +\begin{itemize} +\item \texttt{(quoted (symbol 5))} is assembled to \texttt{00 08 00 00 + 00 00 20 00 20 00 00 08 E0 07 00 00 20 05}. Observe that each word + is made of two bytes, the first word (\texttt{00 08}) indicating the + length (in words) of the program. The first 4 words are always + fixed: they represent in order the CDR of NIL, the CAR of NIL, the + CDR of T, and the CAR of T. The 7th word is also a constant, 0, + because that is where the processor puts the result. The 5th word is + the first free word in memory (which is equal to the length in words + of the program), and the 6th word (\texttt{E0 07}) is the expression + to be evaluated. In this case, it has type quote and points to + memory location 7 (the 8th word, because pointers are 0-indexed). At + memory location 7 we have the value \texttt{20 05} which has type + symbol and value 5. +\item \texttt{(call (more (funcall 0) (proc (var -2))) (number 5))} is + assembled to \texttt{00 0C 00 00 00 00 20 00 20 00 00 0C C0 07 00 00 + 00 09 20 05 E0 00 80 0B 5F FE}. Here we want to evaulate the + expression \texttt{C0 07} (type ``function call'', address 7). This + points to a cons-cell, whose car (at position 8) is \texttt{20 05} + (that is, \texttt{(number 5)}) and whose cdr (at position 7) is + \texttt{00 09} (type ``more'' and address 9). The ``more'' points to + another cons-cell, whose cdr (at position 9) is \texttt{E0 00} (that + is, \texttt{(funcall 0)}), and whose car is \texttt{80 0B}: a + procedure whose body is at position 11, namely \texttt{5F FE} (that + is, \texttt{(var -2)}). + + So the expression is a call to the primitive \texttt{funcall} with + arguments \texttt{(lambda l (x) x)} and \texttt{5}. The original + program was probably \texttt{((lambda l (x) x) 5)}. Note that this + program was compiled with an old version of the compiler that did + not intern symbols, which explains why \texttt{5} was compiled to + \texttt{(number 5)} and not \texttt{(symbol 3)}. +\end{itemize} + +\subsection{REPL} +The REPL ties everything together: it reads a program from the user, +compiles it, assembles it, sends the assembled program to the +processor, reads the memory dump from the processor, and finally +prints the result to the screen. + +The REPL includes an S-expression pretty-printer that operates on +memory dumps. As symbols are interned by the compiler, when the +pretty-printer hits a symbol it only knows its index, and not the +original name. To print the original name the pretty-printer searches +the symbol map built by the compiler and pulls the name from there. + +The pretty-printer takes a chunk of memory and index, and prints the +expression at that index. For example, if the memory chunk is +\texttt{00 00 00 00 20 00 20 00 00 09 00 07 00 07 20 02 00 00 60 00} +and the index is 6, then the pretty printer will try to print +\texttt{00 07}, which is a list with car \texttt{00 00} and cdr +\texttt{20 02}, and the pretty printer prints \texttt{(nil . t)}. + +\clearpage +An example REPL session is: + +\begin{lstlisting} +YULE REPL + +* (cons 1 2) +(1 . 2) +* (car '(4 5 6)) +4 +* (cdr '(t t t)) +(T T) +* ((lambda id (x) x) 5) +5 +* (lambda first (a b) a) + +* ((lambda first (a b) a) 7 8) +7 +* (atom 6) +T +\end{lstlisting} + +\chapter{Evaluation and Testing} +To make development easier, ensure everything works correctly, and +prevent regressions there are unit tests for the compiler and +assembler, and functional tests for the entire project. + +Besides these automated tests, manual evaluation (in the beginning, +precompiling simple expressions and supplying them to the processor as +the initial value of the memory; later on, manually typing expressions +in the REPL and looking at the output). When the processor was not +operating as expected, the GTKWave wave simulator was used to assist +with debugging. This piece of software takes in a recorded simulation +of the circuits and displays the values of all signals inside the +circuit against time. This allows the designer to look at every clock +cycle in turn and discover where the error occurs. + +The process of debugging the processor had the side effect of finding +inefficiencies in the original design. While \cite{lambda} mentions +some limitations of the processors, one important limitation that was +only discovered during debugging is that for every operation that the +EVAL performs, the result of that operation will be written to new +locations in memory. This includes ``read-only'' operations such as +CAR and CDR. If the programmer requests the CAR of a list, a copy of +the first element will be taken and a pointer to it will be returned. +Since YULE only has 4096 words of memory, this severely restricts the +complexity of programs that can be evaluated on it. + +Another avenue to ensure the processor works as it should is formal +verification using model checking tools. Formal verification is +commonly employed as part of circuit design evaluation because +mistakes are more difficult to identify, and if found after the chip +has been built they are very costly to fix (often the chips that were +built with the bug need to be thrown away). However, building models +is a very involved process, and devoting effort to formal verification +of this project would not have allowed the implementation of several +features. Due to time constraints and knowing that no physical YULE +chips are built (the project is so far only synthesised to a FPGA), +testing and manual evaluation was considered sufficient for YULE. + +\section{Unit testing} +The software was tested with 48 unit tests written in Perl using the +\texttt{Test::More} framework. + +The assembler takes in compiled Lisp code and outputs a memory dump in +one of two formats (binary or Verilog code). Its tests take a +configuration for the assembler, an input, two expected outputs, and +(for documentation purposes) the source Lisp code. An example test: + +\begin{lstlisting} +$expbin = + '00 0C 00 00 00 00 20 00 20 00 00 0C C0 07' + . ' 00 00 00 09 20 05 E0 00 80 0B 5F FE'; +run_test {addr_bits => 13}, + '(call (more (funcall 0) (proc (var -2))) (number 5))', + <<'EOF', $expbin, '((LAMBDA ID (X) X) 5)'; +mem[ 0] <= 0; // (cdr part of NIL) +mem[ 1] <= 0; // (car part of NIL) +mem[ 2] <= 16'b0010000000000000; // (cdr part of T) +mem[ 3] <= 16'b0010000000000000; // (car part of T) +mem[ 4] <= 16'd12; // (free storage pointer) +mem[ 5] <= 16'b1100000000000111; // CALL 7 +mem[ 6] <= 0; // (result of computation) +mem[ 7] <= 16'b0000000000001001; // MORE 9 +mem[ 8] <= 16'b0010000000000101; // NUMBER 5 +mem[ 9] <= 16'b1110000000000000; // FUNCALL 0 +mem[10] <= 16'b1000000000001011; // PROC 11 +mem[11] <= 16'b0101111111111110; // VAR -2 +EOF +\end{lstlisting} + +Here the compiled code \texttt{(call (more (funcall 0) (proc (var -2))) (number 5))} +is given to the assembler, and its outputs are compared to the binary +string on the first line and the block of Verilog code. + +The tests do not all contain valid assembler inputs. There are a +series of tests that give invalid inputs to the assembler and expect +the assembler to raise an exception matching a pattern. Example tests: + +\begin{lstlisting} +expect_error_like { run_test {}, '((type is a list) 5)'} + 'Type of toplevel is not atom'; +expect_error_like { run_test {}, '(badtype 5)'} + 'No such type'; +expect_error_like { run_test {}, '(5 700000)'} + 'Addr too large'; +\end{lstlisting} + +On the compiler side, there are 4 tests for the quoting function, +but the brunt of the tests are pairs of a compiler input (i.e. Lisp +code) and a compiler output (i.e. a sexp that the assembler +understands). For each pair the compiler is run on the first element +and its output is compared with the second. Example such tests: + +\begin{lstlisting} +is_toplevel '(quote 5)', '(SYMBOL 3)'; +is_toplevel '(reverse-list \'a \'a \'b)', + '(CALL (MORE (MORE (REVERSE-LIST 0) (SYMBOL 4)) (SYMBOL 3)) (SYMBOL 3))'; +is_toplevel '(if t \'(2 3) \'x)', + '(IF (LIST (SYMBOL 5) (LIST (LIST (LIST 0)' + . ' (SYMBOL 3)) (SYMBOL 4))) (SYMBOL 2))'; +\end{lstlisting} + +As the compiler code includes a function to pretty-print +S-expressions, there are a few round-trip tests on this function. +Given a string, it is parsed using the \texttt{Data::SExpression} +parsing library then it is pretty-printed. The result should match the +original string. + +There are also tests for handling of invalid input, like in the assembler. These include: + +\begin{lstlisting} +expect_error_like { is_toplevel 'x' } 'Variable x not in environment'; +expect_error_like { is_toplevel '(car)' } 'Cannot call primitive car with no arguments'; +\end{lstlisting} + +A test coverage tool, \texttt{Devel::Cover}, was ran on the compiler +and assembler to find statements and branches that were not covered by +existing unit tests, and new tests were written to cover them. Right +now \texttt{Devel::Cover} reports 100\% test coverage of the compiler +and assembler. + +\begin{figure} + \centering\includegraphics[height=8cm]{devel-cover.png} + \caption{Screenshot of \texttt{Devel::Cover} results, showing 100\% + test coverage} +\end{figure} + +\section{Functional testing} +Besides unit tests, the entire system (hardware and software) has +undergone functional testing. This means that a set of 21 Lisp +expressions has been prepared, alongside their correct values computed +using a software Lisp implementation. These values are given to the +YULE REPL and the test succeeds if the output equals the known correct +value of the expression. + +Here are some example tests: +\begin{lstlisting} +'(1 2 3) +5 +((lambda id (x) x) 5) +((lambda id (x) x) '(1 2 3)) +(car '(2 3)) +(car (cdr '(4 5 6))) +((lambda snd (x y) y) 'first 'second) + +(cons '(1 2) '(7)) +(car (cons '(1 2) '(7))) +(cdr (cons '(1 2) '(7))) + +((lambda rev (xs) ((lambda reverse-acc (xs acc) (if xs (reverse-acc (cdr xs) (cons (car xs) acc)) acc)) xs '())) '(4 5 6 7)) +\end{lstlisting} + +This test suite tries to cover most kinds of valid expressions. It +includes constants of all kinds, conditionals, lambda abstractions, +calls to all primitives, calls to user-defined functions, recursive +calls. + +\section{Timing and performance} +There are three parts to the performance of YULE: + +\begin{enumerate} +\item The efficiency of the software. This refers to the time taken to + compile and assemble input programs, which is negligible. + +\item The I/O performance, which refers to the time needed to transfer + the program from the computer to the processor's memory, plus the + time needed to transfer the memory dump from the memory back to the + computer. + +\item The speed of the processor itself, that is the time/number of + cycles that the processor needs to evaluate a given expression. +\end{enumerate} + +The GC runs at 48MHz, while the EVAL only runs when the GC allows it +to which is at most half of the time. + +The UART runs at 4000000 baud, so a bit is sent every 12 cycles of the +48MHz clock. A byte is made of 11 bits: a start bit, 8 data bits, and +one stop bit. A word is two bytes, so 22 bits. Therefore 264 cycles +are needed to transmit one word. + +Since the WRITER just sends a full memory dump, the I/O performance is +proportional not to \texttt{program\_len + result\_len} but to +\texttt{program\_len + result\_len + intermediate\_results\_len}. As +evaluation of any expression involves the creation of at least one +value (the result), for every expression or subexpression evaluated at +least 264 cycles will be needed to output that result. The EVAL takes +significantly less than 264 cycles to evaluate a expression (not +counting its subexpressions), in one test each expression took between +30 and 90 cycles to evaluate. The processor performance is therefore +dominated by I/O. + +As an example, the program \texttt{((lambda id (x) x) 5)} is 12 bytes +long, and takes 258 cycles to evaluate. The memory dump is 54 bytes +long. Therefore of the roughly 17700 cycles needed from beginning to +end, about 98.5\% are used to do I/O. + +\section{A worked example} +\label{sec:example} +Here is an example of what happens when a expression is typed into the +REPL: + +\begin{enumerate} +\item A user types into the REPL the string + +\begin{lstlisting} +(car '(2 3 4)) +\end{lstlisting} + + This is a call to the CAR primitive, with the list \texttt{(2 3 4)} + as an argument. We expect the result to be \texttt{2}, the first + element of the list. + +\item This string is given to the compiler, producing the sexp + +\begin{lstlisting} +(CALL (CAR 0) (LIST (LIST (LIST (LIST 0) (SYMBOL 3)) (SYMBOL 4)) (SYMBOL 5))) +\end{lstlisting} + + Observe that in this representation the CDR comes before the CAR. So + for example ``(LIST (LIST 0) (SYMBOL 3))'' represents a list whose + CAR is ``(SYMBOL 3)'' and CDR is ``(LIST 0)'' (that is, nil). This + is a list with one element, ``(SYMBOL 3)''. The sexp shown here + represents a call to the CAR primitive with one argument. The list + has three elements, which are in order \texttt{(SYMBOL 5), (SYMBOL + 4), (SYMBOL 3)}. + + In this stage the compiler maps each number to a symbol, in this + case \texttt{(SYMBOL 5)} is 2, \texttt{(SYMBOL 4)} is 3, and + \texttt{(SYMBOL 3)} is 2. This mapping is remembered so it can be + used later by the pretty printer. + +\item This sexp is given to the assembler, producing the 16 words long + binary string (here displayed in hex, with a space after each 16-bit + word) + +\begin{lstlisting} +000F 0000 0000 2000 2000 000F C007 0000 2000 0009 000B 2005 000D 2004 0000 2003 +\end{lstlisting} + + The first word, \texttt{000F}, indicates the length of the program + in + words (15 words, this does not include this first word).\\ + The next four words, \texttt{0000 0000 2000 2000}, represent the CDR + and CAR of NIL and T respectively. These words are always + constant.\\ + The next word, \texttt{000F}, represents the first unused position + in memory. This is always equal to the first word transmitted.\\ + The next word, \texttt{C007}, represents the expression to be + evaluated.\\ + The next word, \texttt{0000}, is ignored as this is where the + processor will place the result of the evaluation.\\ + The rest of the words are subexpressions or parts of subexpressions + of the expression being evaluated.\\ + + The expression that is evaluated is \texttt{C007}, which is a CALL + whose CDR is at position 7 (\texttt{2000}, meaning \texttt{(CAR 0)}) + and whose CAR is at + position 8 (\texttt{0009}).\\ + \texttt{0009} is a list with CAR at 10 (\texttt{2005}, meaning + \texttt{(SYMBOL 5)}) and CDR at 9 (\texttt{000B}).\\ + \texttt{000B} is a list with CAR at 12 (\texttt{2004}, meaning + \texttt{(SYMBOL 4)}) and CDR at 11 (\texttt{000D}).\\ + \texttt{000D} is a list with CAR at 14 (\texttt{2003}, meaning + \texttt{(SYMBOL 3)}) and CDR at 13 (\texttt{0000}, meaning NIL). + +\item This binary string is sent via UART to the FPGA's READER. The + READER writes the string (except the first word) into memory, + overwriting the previous contents of the memory. It then reports to + the controller that it is done, and the controller advances to + \texttt{STATE\_RUN}. + +\item The EVAL and GC evaluate the program in memory, and then place + the result back into memory. The EVAL reports to the controller that + it is done, and the controller advances to \texttt{STATE\_WRITE}. + +\item The WRITER sends this memory dump via UART back to the REPL + +\begin{lstlisting} +000F C007 2005 2000 0009 000B 2005 000D 2004 0000 2003 0000 4004 2000 0010 0000 0012 0000 0000 0009 +\end{lstlisting} + + Then the WRITER reports to the controller that it is done, and the + controller advances to \texttt{STATE\_READ}. + + Observe that this memory dump is similar to the assembler output. + The first two words are the 6th and 7th words in the assembler + output, the next word is the result of the evaluation, then the next + 8 words are words 9th through 16th in the assembler output. The + following words are intermediate results computed by the processor. + +\item The REPL's pretty printer interpets this string starting with + \texttt{2005}, which means \texttt{(SYMBOL 5)}. The pretty printer + looks in the compiler's mapping and finds that the 5th symbol was + 3, and so the REPL prints + +\begin{lstlisting} +3 +* +\end{lstlisting} + + The evaluation is complete, and a new prompt is printed so that the + user can input another expression. +\end{enumerate} + +\chapter{Conclusions} +A Lisp machine processor has been built using the original design and +techniques presented in \cite{lambda}. It has been extended with input +and output capabilities, and using a modern FPGA it has been +synthesised on a physical device slightly larger than a USB flash +drive. This device can be used as a standalone Lisp evaluator, or the +processor inside it can be included in a more complicated circuit. + +Software has been written to help interact with the processor. This +includes a compiler, an assembler, and a REPL that together make it +possible for an end-user unfamiliar with hardware design or the +processor's internals to submit Lisp expressions to the processor and +get back their values. The software also allows programmers to convert +Lisp source code to the binary format understood by the processor, so +that they may later send the binaries to the processor for evaluation. + +The processor and software have been tested to ensure they work +correctly. This has uncovered bugs and inefficiencies in the original +paper, some of which could not be gleaned from simply reading the +paper. + +The source files for the hardware and software, and also the automated +tests have been released under an open-source license to make it easy +for future circuit designers and programmers to use and extend this +project. They can be found at \url{https://git.ieval.ro/?p=yule.git}. + +The original paper \cite{lambda} is one of the influential Lambda +Papers that defined the Scheme programming language and is an +important historical artifact for understading how Lisp machine +processors can be implemented and more generally how tagged +architectures work. But all details of the processor cannot be +understood from simply reading the paper, and most readers would not +follow by attempting to implement what is described there. This +projects brings a tangible implementation into the open, which shows +the limitations of the design to people interested in this design and +makes it possible to solve this limitations and extend the processor +beyond its original scope. + +\section{Reflections} +Now that the project is finished, it is worth revisiting ideas I had +in the beginning that were not ultimately useful. + +The original concept had the processor run on a typical development +board, with the software running on a Raspberry PI. The board and the +Raspberry PI would be connected through jumper wires, and the UART +circuitry on the Raspberry PI would be used by the software to talk to +the processor. + +This idea would have produced a much harder to use YULE. Not only +would the user have to ssh into a Raspberry PI to do anything useful, +but also the equipment would take more space (both boards are larger +than the iCEstick). Once I tried the iCEstick and found that +everything can be done just as well with it, it replaced the two +boards and made the project easier to use (albeit slightly harder to +debug, as the iCEstick only has 5 LEDs). + +Some code had to be rewritten, sometimes multiple times. The compiler +was originally written in Common Lisp, as it is the best suited +language for manipulation of S-expressions, especially Lisp code. This +meant a working project was obtained more quickly, but then the +compiler had to be rewritten in another language; if the user has a +software Lisp implementation already, why would they need YULE? I +chose Perl as the reimplementation language, as the assembler was +already written in Perl and it is widely-available, most systems +coming with a Perl interpreter out of the box. + +Throughout development of the hardware part, timing problems were a +mainstay. The first ones related to the interactions between the +processor and the memory (the memory was clocked, but the processor +expected a combinational RAM). What fixed this problem was to run the +memory at twice the speed of the rest of the processor. At some point, +a decision was taken to run the GC and EVAL on different clocks (both +ran at one quarter the speed of the master clock, but one of the +clocks was delayed by half a cycle. The positive edge on one clock +would happen midway between a positive edge and a negative edge on the +other one). This proved to be unwise, as sometimes values sent by one +module to the other would be cleared before the destination module +managed to read them. + +GTKWave proved to be very useful in debugging these timing issues, as +the exact point where the issue began was easy to identify and I could +see why the issue was happening. A workaround for this was to add a +latch on each side of the common E bus that remembered the value sent +long enough for the receiving module to see it. + +All timing problems were fixed more cleanly in the end when an attempt +to simplify the clocks was made. First GC and EVAL were changed to use +the same clock, which removed the need for the latches, and then the +memory was changed to use the negative edge of the clock instead of +the positive edge, which meant no more clock division code had to be +used. + +\section{Future work} +There are several ways to extend this project. + +One idea is to fix the noted limitations: the ATOM primitive considers +NIL to not be an atom, and there is no EQ primitive that compares +symbols/other objects. The latter problem means that all symbols are +indistinguishable (note: NIL can still be distinguished from T and +other symbols, but NIL is not a symbol). To introduce equality a new +signal needs to be added to the EVAL that compares (for example) the +value on the E bus with the value of a fixed register, possibly a +newly added one. Then (EQ A B) would store A in the register, load B +on the E bus and compare them. + +Once equality is implemented, it becomes possible to implement the +EVAL function that evaluates an arbitrary Lisp expression. + +Two more involved instruction set improvements are adding arithmetic +operations, and input/output. Without arithmetic primitives one has to +rely on Church numerals, which encodes numbers as lambda abstractions +and is very inefficient. Input/output primitives would allow programs +to receive data at runtime over the UART and send data back before +evaluation is finished. This enables long-running useful programs, for +example with input/output and equality a REPL can be written (which +relies on the EVAl function mentioned above). + +On the software side, the assembler can support optimizations and then +the REPL can be extended with a core image. The main optimization +needed in the assembler is common subexpression elimination. The +processor never overwrites a value in memory with another value (other +than overwriting \texttt{mem[6]} with the result of the evaluation), +so it is safe to share any identical subexpressions. For example, if +the user inputs the program \texttt{(cons (car '(1 2 3 4)) (cdr '(0 2 + 3 4)))}, then when the assembler should share the tails of the two +lists, meaning the second list should compile to \texttt{(LIST (LIST + X) (SYMBOL Y))} where X is a pointer to where the second element of +the first list is stored. This makes long programs significantly +shorter. Note that no compiler changes are required to implement this, +as the assembler can just remember all expressions and subexpressions +it has assembler so far including their locations, and whenever a new +expression needs to be assembler it can be replaced with a pointer to +where the same expression has been placed before. + +Once this optimization is implemented, the REPL can gain core image +support. Suppose the user enters the expression \texttt{expr}. Instead +of sending \texttt{assemble(compile(expr))} to the processor, the REPL +can remember the last expression sent (or the last memory dump +received), then append \texttt{assemble(compile(expr))} to that +previous expression. This way \texttt{expr} can refer to previously +defined expressions, as long as the REPL or compiler has a way to name +previously supplied instructions, for example via a \texttt{define} +special form, via the standard REPL variables (\texttt{+, ++, +++}), +or by sequentially numbering all expressions submitted by the user. + +Returning to hardware, a potential future project is to add actual +hardware garbage collection to the GC component. At the moment the +design does no garbage collection, the processor only has 4096 words +of RAM available, and evaluation is quite memory-inefficient. Adding +garbage collection would make more complicated programs possible +despite the limited RAM. One way to implement this is to add a small +microprocessor to the design which is preprogrammed with a garbage +collection algorithm (simple choices are a stop-and-copy collector or +Cheney's algorithm). When the free space pointer gets too high, the +EVAL and GC are stopped, and the new microprocessor is started up so +it can perform garbage collection, compact the memory, and update the +free space pointer. The EVAL/GC registers would have to be updated as +well. Then the microprocessor can be stopped, EVAL and GC be started +up again and evaluation can continue. Note that a non-moving collector +is not sufficient: the GC allocates new words only at the very end of +the memory, so it cannot benefit from free ``gaps'' in the middle of +the memory. + +\begin{thebibliography}{99} +\bibitem{lambda} Design of LISP-Based Processors (1979), available at + \url{http://repository.readscheme.org/ftp/papers/ai-lab-pubs/AIM-514.pdf} +\bibitem{osdvu} \url{https://opencores.org/project/osdvu} +\bibitem{gtkwave} \url{http://gtkwave.sourceforge.net/} +\bibitem{icestorm} \url{http://www.clifford.at/icestorm/} +\end{thebibliography} +\end{document} diff --git a/writer.svg b/writer.svg new file mode 100644 index 0000000..5862d94 --- /dev/null +++ b/writer.svg @@ -0,0 +1,286 @@ + + + + + + + + + + + + image/svg+xml + + + + + + + + + + + clk + cen + tx_busy + P + ram_do + WRITER + tx_byte + tx_signal + finished + ram_addr + + + + + + + + + + + + + + -- 2.39.2