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---
layout: post
title: "My Week in Review"
date: 2015-06-14 10:45:00 +0000
categories:
tags:
image: https://s3.amazonaws.com/audreywatters/2015-06-14-barcelona.jpg
imagecredits: https://www.flickr.com/photos/surreal_badger/18767241942/in/dateposted-public/
---
Travel
- Hermosa Beach to Barcelona (via Oslo) and home again (via Montreal).
- Upcoming week: Hermosa Beach
Hack Education
Essays Elsewhere
Speaking
Known Notes and Fragments
Other Projects
- My fellowship application was rejected by the Shuttleworth Foundation as my work was not sufficiently “action-oriented.”
- I renewed my subscription to Pinboard, which I use not only for bookmarking but for archiving a copy the pages I mark. Worth every penny.
- Because of things planned (travel) and unplanned (family emergencies), I was not able to make it to DML this week.
Reading and Viewing
- I finished Ian Bogost’s The Geek’s Chihuahua
- I read David Graeber’s The Utopia of Rules
- I read Rafranz Davis’ The Missing Voices of Edtech
- I started reading Edwin Black’s IBM and the Holocaust
- I watched Kingsman: The Secret Service on the flight home.
Family and Friends
- It hasn’t been a good week on the family front. My Granny had a heart attack. The kid is here in LA now and had emergency wisdom teeth surgery yesterday.
- It was a good week on the friend front, as I got to see lots of folks while I was in Barcelona. It was so great to hang out with Jim Groom, Martin Weller, Sheila MacNeil, Doug Belshaw, and Bryan Mathers. (Here’s what we talked about one afternoon.)


Highlights
Cornell Cup Robotics has received significant recognition over the past several years. These events include being highlighted by the White House Fact Sheet of Making in both 2015 and 2016, being featured at events such as the Intel Embedded Research and Education Summit in 2014, the National Maker Faire, at Walt Disney World, and the NASA Kennedy Space Center.


Priest Bandellos:
The Mark of the Healer is reserved for those who understand the healing and purifying power of light. These properties of light transcend all tribal distinctions.
If you wish to take the challenge, I have but one favor I must ask...
"I will challenge the Test of the Healer"


The ACS asks about computer use and internet access per household. The Census Bureau added these three questions in 2013 as part of the 2008 Broadband Improvement Act, which mobilized several federal agencies to collect information to support broadband expansion and access across the country.
Various kinds of computing devices fall under “computer”: desktop, laptop, smartphone, and tablet. Internet access is broadly categorized by cellular data, satellite, dial-up, and broadband connections.
Note that a household may have computing devices but no internet, or vice versa.
{% list_tables prefix='28' %}


Scene safety
Make sure the environment is safe for rescuers and victim
Recognition of cardiac arrest
- Check for responsiveness
- No breathing or only gasping (ie, no normal breathing)
- No definite pulse felt within 10 seconds
- (Breathing and pulse check can be performed simultaneously in less than 10 seconds)
Activation of emergency response system
If you are alone with no mobile phone, leave the victim to activate the emergency response system and get the AED before beginning CPR
Otherwise, send someone and begin CPR immediately; use the AED as soon as it is available
Witnessed collapse
Follow steps for adults and adolescents on the left
Unwitnessed collapse
- Give 2 minutes of CPR
- Leave the victim to activate the emergency response system and get the AED
- Return to the child or infant and resume CPR; use the AED as soon as it is available
Compression-ventilation ratio without advanced airway
1 or 2 rescuers
30:2
1 rescuer
30:2
2 or more rescuers
15:2
Compression-ventilation ratio without advanced airway
1 or 2 rescuers
30:2
1 rescuer
30:2
2 or more rescuers
15:2
Compression rate
100-120/min
Compression depth
At least 2 inches (5 cm)*
At least one third AP diameter of chestAbout 2 inches (5 cm)
At least one third AP diameter of chestAbout 1½ inches (4 cm)
Chest recoil
Allow full recoil of chest after each compression; do not lean on the chest after each compression
Minimizing interruptions
Limit interruptions in chest compressions to less than 10 seconds
*Compression depth should be no more than 2.4 inches (6 cm).
Abbreviations: AED, automated external defibrillator; AP, anteroposterior; CPR, cardiopulmonary resuscitation
Modified from Highlights of the 2015 AHA Guidelines Update for CPR and ECC.


Flatiron Research Fellow
Cosmology X Data Science Group
Center for Computational Astrophysics
Flatiron Institute
<EMAIL_ADDRESS>Snapshots of the 100 most massive halos in a cosmological $N$-body simulation at redshift $z=1$. The simulations were run with the Abacus $N$-body code for Garrison et al. (2016) with a Planck 2015 cosmology in a $562 {\rm~Mpc}/h$ box with $1440^3$ particles (particle mass $5\times 10^{9} {\rm~M_\odot}/h$). Each image is a $15 {\rm~Mpc}\times 15 {\rm~Mpc}\times 5 {\rm~Mpc}$ slice through the center of the halo.
The halos were visualized using Phil Mansfield's Gotetra code, which uses phase-sheet tesselation to preserve the dark matter caustics. The renderings are only medium-resolution, because the underlying simulation itself is only medium-resolution (you can clearly see the individual phase sheets in the voids of the simulation). One motivation of rendering many halos at medium resolution was to get a sense of the diversity of morphologies of halos in these simulations. For examples of extremely high resolution images rendered with Gotetra, see Benedikt Diemer's visualization page, which was the inspiration for this gallery.
Please credit as "Visualization code: Phil Mansfield; Simulations & visualizations: Lehman Garrison" if you would like to use these images.
Click on a halo to see more!


Real Name:
Peter Parker
Height:
1.78m
Weight:
75,7kg
Abilities:
Peter is an accomplished scientist, inventor and photographer.
Peter can cling to most surfaces, has superhuman strength (able to lift 10 tons optimally) and is roughly 15 times more agile than a regular human. The combination of his acrobatic leaps and web-slinging enables him to travel rapidly from place to place. His spider-sense provides an early warning detection system linked with his superhuman kinesthetics, enabling him the ability to evade most any injury, provided he doesn't cognitively override the autonomic reflexes. Note: his power enhancements through his transformation by the Queen and after battling Morlun - including his organic web glands and stingers - have been undone after Spider-Man's deal with Mephisto.
Team(s):
Avengers, formerly the Secret Defenders, "New Fantastic Four", the Outlaws
Movie(s):
The Amazing Spider-Man, Spider-Man Strikes Again, Spider-Man, Spider-Man 2, Spider-Man 3, The Amazing Spider-Man, The Amazing Spider-Man 2, Captain America: Civil War, Spider-Man: Homecoming


HTML is good for declaring static documents, but it falters when declaring dynamic views. Angular.js extends HTML with new attributes and is perfect for Single Page Applications.
And the basics are pretty easy to learn.
✌
A design language developed by Google, material design is a guide for visual, motion, and interaction design across platforms and devices.
That basically means more responsive (and prettier) elements, and many cool animations and effects.
Google Inbox
QuickPic
Put one and two together...
And you get...
angularjs
angular material
Angular.js creates live templates as a view. This is very convenient as the view reflects dynamic changes any time the model is changed in the client.
Hello {{name}}
Demo!
Modules are the main way to define an Angular.js app.
Modules keep the global namespace clean and
also make it easy to share code between applications.
More importantly, having modules allow the application
to load different parts of the code in any order.
Two parameters are needed:
{String} Name of the module
{Array} List of dependencies
// Defining the module
angular.module('myApp', []);
// Getting the module
angular.module('myApp');
Scopes are a core fundamental of any Angular app and are used all over the framework.
Business functionality of the application
Methods in controllers
Properties in views
between the controller and view
for application state
All properties found on the $scope object is automatically accessible to the view
Controllers exist to augment the view, adding functionality to the scope of the view.
Controllers create new scopes
Demo!
Directives are Angular's way of creating new HTML elements that have their own custom functionality.
Usually with prefix ng-.
ng-app: Initialises an Angular application
ng-init: Initialises the application data
ng-model: Binds the value to application data
Demo!
Angular compiles the HTML code we write and invokes it as a directive.
Demo!
Click me!
Using replace: true
Click me!
There are four declaration formats:
Element
Attribute
Class
Comment
restrict: E
restrict: A
restrict: C
restrict: M
Attributes can be declared for our custom directive. These attributes are set on the inner scope of our custom directive.
Demo!
Angular gives three ways to bind data from outside the directive scope to the isolate scope inside the directive.
Local scope property
scope: {
// Binds a String to the value of the DOM attribute
myAttr: '@'
}
Bi-directional property
scope: {
// Binds the parent property with the local property
myProperty: '='
}
Parent execution binding
scope: {
// To execute a function in the parent scope
myFunc: '&'
}
This simple ToDoList app illustrates the basic usage of a controller and directive.
Demo!
Angular directives used:
ng-app | ng-controller | ng-if | ng-model |
ng-click | ng-repeat | ng-show
This controller initialises the ToDoList with three items and creates some functions to get the relevant information.
This directive is the view for each item in the ToDoList, which includes a checkbox and the ToDo description.
This looks ugly...
Let's bring in angularmaterial!
angularmaterial uses custom directives
Usually with prefix md-.
Demo!
angularmaterial directives used:
md-content | md-tabs | md-input-container |
md-button | md-subheader | md-list


Now we shall do local polynomial smoothing with points in $N^*(x_0,y_0)$
For $0$-degree local polynomial, we minimize,
$$\mathop{\sum\sum}_{(x_i,y_j)\in N^*}(z_{ij}-\alpha)^2 K\left(\frac{x_i-x_0}{h},\frac{y_j-y_0}{h}\right)$$
and, $\hat{f_0}(x_0,y_0)$ is given by,
$$\hat{f_0}(x_0, y_0)=\hat{\alpha}=\frac{\mathop{\sum\sum}_{(x_i,y_j)\in N^*}w_{ij}z_{ij}}{\mathop{\sum\sum}_{(x_i,y_j)\in N^*} w_{ij}}$$
where, $w_{ij}=K\left(\frac{x_i-x_0}{h}, \frac{y_j-y_0}{h}\right)$
Similarly, we can do smoothing with $1$-degree polynomial.
Summary of the method
Here is a summary of what we did:
Summary of the method
We started with a point (x0 ,y0)
And, constructed its neighbourhood N(x0 ,y0)
Summary of the method
We started with a point (x0 ,y0)
And, constructed its neighbourhood N(x0 ,y0)
In N(x0 ,y0), we fitted least square plane
and, projected the normal vector onto x-y plane.
This gave the direction of the jump.
Summary of the method
We started with a point (x0 ,y0)
And, constructed its neighbourhood N(x0 ,y0)
In N(x0 ,y0), we fitted least square plane
and, projected the normal vector onto x-y plane.
This gave the direction of the jump.
We tried to find the optimal partition line
perpendicular to the direction.
And performed a testing to decide if there is a jump.
Summary of the method
We started with a point (x0 ,y0)
And, constructed its neighbourhood N(x0 ,y0)
In N(x0 ,y0), we fitted least square plane
and, projected the normal vector onto x-y plane.
This gave the direction of the jump.
We tried to find the optimal partition line
perpendicular to the direction.
And performed a testing to decide if there is a jump.
Depending on the conclusion, we obtained
a set of points similar to (x0 ,y0)
With those points, we did local polynomial smoothing,
(which is just a weighted-average for 0-degree).
Proposed Method : Example
Now we know how to estimate $f$ at $(x_0,y_0)$.
So for the $100\times 100$ points, let's calculate the estimated values to obtain the fitted surface.
Example: Same function $f$, with noise from $N(0, \sigma^2), \sigma=0.3$.
Here is the noisy input data:
Parameters: We have chosen
$$\alpha = 0.001, l=0.03\text{ (or, window width 7)}, h=0.1$$
Here is output from the method with $0$-degree polynomial smoothing:
One Drawback
Assumed that jump location curves are smooth (can be approximated by a straight line). What happens when it is violated?
Consider this function:
$$g(x,y)=x + I_{\{y > 0.375 + 0.25x \text{ or } x > 0.5\}}$$
Added noise with $\sigma=0.05$
Window-width $9$ and $h=0.05$ were used.
The original function contains a sharp jump location curve. In the fitted plane, the sharp edge was blurred.
One Practical Example
We have this image ($256\times 256$)
One Practical Example
Applying the method, we get these edges.
One Practical Example
After adding noise from $N(0,0.06^2)$
One Practical Example
We applied the method on this image with $9\times 9$ window-width, threshold $=18$, and Epanechnikov kernel with $h=\frac{2}{256}$.
One Practical Example
Here are the edges we obtained
One Practical Example
And the smoothed image
One Practical Example
Estimated noise $=(\text{noisy image}-\text{smoothed image})$
Caution: It contains pattern of the image. Should not be the case.
Concluding Remarks:
We presented a method to fit regression surface considering jumps/edges.
-
In cases where jumps are present, it performs better compared to usual local polynomial smoothing.
-
When the true function is unknown (which is going to be the case for practical purposes), choice of parameters may be a tough task.
-
In that case,
-
Human presence is required to determine the optimal parameters.
-
Or, task specific / domain specific parameters can be determined based on some examples.
-
We plan to explore further regarding the choice of parameters in different scenarios.
-
Acknowledgement:
-
Dr. Partha Sarathi Mukherjee, Associate Professor, ISI Kolkata
-
Dr. Debasis Sengupta, Professor, ISI Kolkata
-
Reference:
-
Qiu, P., & Yandell, B. (1997). Jump Detection in Regression Surfaces. Journal of Computational and Graphical Statistics, 6(3), 332-354. doi:10.2307/1390737
-
Submitted by:
-
Riddhiman Saha - BS1702
-
Somak Laha - BS1720
-
Souhardya Ray - BS1728


Welcome to Chapter 7 of the "Implementing a language with LLVM" tutorial. In chapters 1 through 6, we've built a very respectable, albeit simple, functional programming language. In our journey, we learned some parsing techniques, how to build and represent an AST, how to build LLVM IR, and how to optimize the resultant code as well as JIT compile it.
While Kaleidoscope is interesting as a functional language, the fact that it is functional makes it "too easy" to generate LLVM IR for it. In particular, a functional language makes it very easy to build LLVM IR directly in SSA form. Since LLVM requires that the input code be in SSA form, this is a very nice property and it is often unclear to newcomers how to generate code for an imperative language with mutable variables.
The short (and happy) summary of this chapter is that there is no need for your front-end to build SSA form: LLVM provides highly tuned and well tested support for this, though the way it works is a bit unexpected for some.
To understand why mutable variables cause complexities in SSA construction, consider this extremely simple C example:
int G, H; int test(_Bool Condition) { int X; if (Condition) X = G; else X = H; return X; }
In this case, we have the variable "X", whose value depends on the path executed in the program. Because there are two different possible values for X before the return instruction, a PHI node is inserted to merge the two values. The LLVM IR that we want for this example looks like this:
@G = weak global i32 0 ; type of @G is i32* @H = weak global i32 0 ; type of @H is i32* define i32 @test(i1 %Condition) { entry: br i1 %Condition, label %cond_true, label %cond_false cond_true: %X.0 = load i32* @G br label %cond_next cond_false: %X.1 = load i32* @H br label %cond_next cond_next: %X.2 = phi i32 [ %X.1, %cond_false ], [ %X.0, %cond_true ] ret i32 %X.2 }
In this example, the loads from the G and H global variables are explicit in the LLVM IR, and they live in the then/else branches of the if statement (cond_true/cond_false). In order to merge the incoming values, the X.2 phi node in the cond_next block selects the right value to use based on where control flow is coming from: if control flow comes from the cond_false block, X.2 gets the value of X.1. Alternatively, if control flow comes from cond_true, it gets the value of X.0. The intent of this chapter is not to explain the details of SSA form. For more information, see one of the many online references.
The question for this article is "who places the phi nodes when lowering assignments to mutable variables?". The issue here is that LLVM requires that its IR be in SSA form: there is no "non-ssa" mode for it. However, SSA construction requires non-trivial algorithms and data structures, so it is inconvenient and wasteful for every front-end to have to reproduce this logic.
The 'trick' here is that while LLVM does require all register values to be in SSA form, it does not require (or permit) memory objects to be in SSA form. In the example above, note that the loads from G and H are direct accesses to G and H: they are not renamed or versioned. This differs from some other compiler systems, which do try to version memory objects. In LLVM, instead of encoding dataflow analysis of memory into the LLVM IR, it is handled with Analysis Passes which are computed on demand.
With this in mind, the high-level idea is that we want to make a stack variable (which lives in memory, because it is on the stack) for each mutable object in a function. To take advantage of this trick, we need to talk about how LLVM represents stack variables.
In LLVM, all memory accesses are explicit with load/store instructions, and it is carefully designed not to have (or need) an "address-of" operator. Notice how the type of the @G/@H global variables is actually "i32*" even though the variable is defined as "i32". What this means is that @G defines space for an i32 in the global data area, but its name actually refers to the address for that space. Stack variables work the same way, except that instead of being declared with global variable definitions, they are declared with the LLVM alloca instruction:
define i32 @example() { entry: %X = alloca i32 ; type of %X is i32*. ... %tmp = load i32* %X ; load the stack value %X from the stack. %tmp2 = add i32 %tmp, 1 ; increment it store i32 %tmp2, i32* %X ; store it back ...
This code shows an example of how you can declare and manipulate a stack variable in the LLVM IR. Stack memory allocated with the alloca instruction is fully general: you can pass the address of the stack slot to functions, you can store it in other variables, etc. In our example above, we could rewrite the example to use the alloca technique to avoid using a PHI node:
@G = weak global i32 0 ; type of @G is i32* @H = weak global i32 0 ; type of @H is i32* define i32 @test(i1 %Condition) { entry: %X = alloca i32 ; type of %X is i32*. br i1 %Condition, label %cond_true, label %cond_false cond_true: %X.0 = load i32* @G store i32 %X.0, i32* %X ; Update X br label %cond_next cond_false: %X.1 = load i32* @H store i32 %X.1, i32* %X ; Update X br label %cond_next cond_next: %X.2 = load i32* %X ; Read X ret i32 %X.2 }
With this, we have discovered a way to handle arbitrary mutable variables without the need to create Phi nodes at all:
While this solution has solved our immediate problem, it introduced another one: we have now apparently introduced a lot of stack traffic for very simple and common operations, a major performance problem. Fortunately for us, the LLVM optimizer has a highly-tuned optimization pass named "mem2reg" that handles this case, promoting allocas like this into SSA registers, inserting Phi nodes as appropriate. If you run this example through the pass, for example, you'll get:
$ llvm-as < example.ll | opt -mem2reg | llvm-dis @G = weak global i32 0 @H = weak global i32 0 define i32 @test(i1 %Condition) { entry: br i1 %Condition, label %cond_true, label %cond_false cond_true: %X.0 = load i32* @G br label %cond_next cond_false: %X.1 = load i32* @H br label %cond_next cond_next: %X.01 = phi i32 [ %X.1, %cond_false ], [ %X.0, %cond_true ] ret i32 %X.01 }
The mem2reg pass implements the standard "iterated dominance frontier" algorithm for constructing SSA form and has a number of optimizations that speed up (very common) degenerate cases. The mem2reg optimization pass is the answer to dealing with mutable variables, and we highly recommend that you depend on it. Note that mem2reg only works on variables in certain circumstances:
All of these properties are easy to satisfy for most imperative languages, and we'll illustrate it below with Kaleidoscope. The final question you may be asking is: should I bother with this nonsense for my front-end? Wouldn't it be better if I just did SSA construction directly, avoiding use of the mem2reg optimization pass? In short, we strongly recommend that you use this technique for building SSA form, unless there is an extremely good reason not to. Using this technique is:
If nothing else, this makes it much easier to get your front-end up and running, and is very simple to implement. Lets extend Kaleidoscope with mutable variables now!
Now that we know the sort of problem we want to tackle, lets see what this looks like in the context of our little Kaleidoscope language. We're going to add two features:
While the first item is really what this is about, we only have variables for incoming arguments as well as for induction variables, and redefining those only goes so far :). Also, the ability to define new variables is a useful thing regardless of whether you will be mutating them. Here's a motivating example that shows how we could use these:
# Define ':' for sequencing: as a low-precedence operator that ignores operands # and just returns the RHS. def binary : 1 (x y) y; # Recursive fib, we could do this before. def fib(x) if (x < 3) then 1 else fib(x-1)+fib(x-2); # Iterative fib. def fibi(x) var a = 1, b = 1, c in (for i = 3, i < x in c = a + b : a = b : b = c) : b; # Call it. fibi(10);
In order to mutate variables, we have to change our existing variables to use the "alloca trick". Once we have that, we'll add our new operator, then extend Kaleidoscope to support new variable definitions.
The symbol table in Kaleidoscope is managed at code generation time by the 'named_values' map. This map currently keeps track of the LLVM "Value*" that holds the double value for the named variable. In order to support mutation, we need to change this slightly, so that it named_values holds the memory location of the variable in question. Note that this change is a refactoring: it changes the structure of the code, but does not (by itself) change the behavior of the compiler. All of these changes are isolated in the Kaleidoscope code generator.
At this point in Kaleidoscope's development, it only supports variables for two things: incoming arguments to functions and the induction variable of 'for' loops. For consistency, we'll allow mutation of these variables in addition to other user-defined variables. This means that these will both need memory locations.
To start our transformation of Kaleidoscope, we'll change the named_values map so that it maps to AllocaInst* instead of Value*. Once we do this, the C++ compiler will tell us what parts of the code we need to update:
Note: the ocaml bindings currently model both Value*s and AllocInst*s as Llvm.llvalues, but this may change in the future to be more type safe.
let named_values:(string, llvalue) Hashtbl.t = Hashtbl.create 10
Also, since we will need to create these alloca's, we'll use a helper function that ensures that the allocas are created in the entry block of the function:
(* Create an alloca instruction in the entry block of the function. This * is used for mutable variables etc. *) let create_entry_block_alloca the_function var_name = let builder = builder_at (instr_begin (entry_block the_function)) in build_alloca double_type var_name builder
This funny looking code creates an Llvm.llbuilder object that is pointing at the first instruction of the entry block. It then creates an alloca with the expected name and returns it. Because all values in Kaleidoscope are doubles, there is no need to pass in a type to use.
With this in place, the first functionality change we want to make is to variable references. In our new scheme, variables live on the stack, so code generating a reference to them actually needs to produce a load from the stack slot:
let rec codegen_expr = function ... | Ast.Variable name -> let v = try Hashtbl.find named_values name with | Not_found -> raise (Error "unknown variable name") in (* Load the value. *) build_load v name builder
As you can see, this is pretty straightforward. Now we need to update the things that define the variables to set up the alloca. We'll start with codegen_expr Ast.For ... (see the full code listing for the unabridged code):
| Ast.For (var_name, start, end_, step, body) -> let the_function = block_parent (insertion_block builder) in (* Create an alloca for the variable in the entry block. *) let alloca = create_entry_block_alloca the_function var_name in (* Emit the start code first, without 'variable' in scope. *) let start_val = codegen_expr start in (* Store the value into the alloca. *) ignore(build_store start_val alloca builder); ... (* Within the loop, the variable is defined equal to the PHI node. If it * shadows an existing variable, we have to restore it, so save it * now. *) let old_val = try Some (Hashtbl.find named_values var_name) with Not_found -> None in Hashtbl.add named_values var_name alloca; ... (* Compute the end condition. *) let end_cond = codegen_expr end_ in (* Reload, increment, and restore the alloca. This handles the case where * the body of the loop mutates the variable. *) let cur_var = build_load alloca var_name builder in let next_var = build_add cur_var step_val "nextvar" builder in ignore(build_store next_var alloca builder); ...
This code is virtually identical to the code before we allowed mutable variables. The big difference is that we no longer have to construct a PHI node, and we use load/store to access the variable as needed.
To support mutable argument variables, we need to also make allocas for them. The code for this is also pretty simple:
(* Create an alloca for each argument and register the argument in the symbol * table so that references to it will succeed. *) let create_argument_allocas the_function proto = let args = match proto with | Ast.Prototype (_, args) | Ast.BinOpPrototype (_, args, _) -> args in Array.iteri (fun i ai -> let var_name = args.(i) in (* Create an alloca for this variable. *) let alloca = create_entry_block_alloca the_function var_name in (* Store the initial value into the alloca. *) ignore(build_store ai alloca builder); (* Add arguments to variable symbol table. *) Hashtbl.add named_values var_name alloca; ) (params the_function)
For each argument, we make an alloca, store the input value to the function into the alloca, and register the alloca as the memory location for the argument. This method gets invoked by Codegen.codegen_func right after it sets up the entry block for the function.
The final missing piece is adding the mem2reg pass, which allows us to get good codegen once again:
let main () = ... let the_fpm = PassManager.create_function Codegen.the_module in (* Set up the optimizer pipeline. Start with registering info about how the * target lays out data structures. *) TargetData.add (ExecutionEngine.target_data the_execution_engine) the_fpm; (* Promote allocas to registers. *) add_memory_to_register_promotion the_fpm; (* Do simple "peephole" optimizations and bit-twiddling optzn. *) add_instruction_combining the_fpm; (* reassociate expressions. *) add_reassociation the_fpm;
It is interesting to see what the code looks like before and after the mem2reg optimization runs. For example, this is the before/after code for our recursive fib function. Before the optimization:
define double @fib(double %x) { entry: %x1 = alloca double store double %x, double* %x1 %x2 = load double* %x1 %cmptmp = fcmp ult double %x2, 3.000000e+00 %booltmp = uitofp i1 %cmptmp to double %ifcond = fcmp one double %booltmp, 0.000000e+00 br i1 %ifcond, label %then, label %else then: ; preds = %entry br label %ifcont else: ; preds = %entry %x3 = load double* %x1 %subtmp = fsub double %x3, 1.000000e+00 %calltmp = call double @fib(double %subtmp) %x4 = load double* %x1 %subtmp5 = fsub double %x4, 2.000000e+00 %calltmp6 = call double @fib(double %subtmp5) %addtmp = fadd double %calltmp, %calltmp6 br label %ifcont ifcont: ; preds = %else, %then %iftmp = phi double [ 1.000000e+00, %then ], [ %addtmp, %else ] ret double %iftmp }
Here there is only one variable (x, the input argument) but you can still see the extremely simple-minded code generation strategy we are using. In the entry block, an alloca is created, and the initial input value is stored into it. Each reference to the variable does a reload from the stack. Also, note that we didn't modify the if/then/else expression, so it still inserts a PHI node. While we could make an alloca for it, it is actually easier to create a PHI node for it, so we still just make the PHI.
Here is the code after the mem2reg pass runs:
define double @fib(double %x) { entry: %cmptmp = fcmp ult double %x, 3.000000e+00 %booltmp = uitofp i1 %cmptmp to double %ifcond = fcmp one double %booltmp, 0.000000e+00 br i1 %ifcond, label %then, label %else then: br label %ifcont else: %subtmp = fsub double %x, 1.000000e+00 %calltmp = call double @fib(double %subtmp) %subtmp5 = fsub double %x, 2.000000e+00 %calltmp6 = call double @fib(double %subtmp5) %addtmp = fadd double %calltmp, %calltmp6 br label %ifcont ifcont: ; preds = %else, %then %iftmp = phi double [ 1.000000e+00, %then ], [ %addtmp, %else ] ret double %iftmp }
This is a trivial case for mem2reg, since there are no redefinitions of the variable. The point of showing this is to calm your tension about inserting such blatent inefficiencies :).
After the rest of the optimizers run, we get:
define double @fib(double %x) { entry: %cmptmp = fcmp ult double %x, 3.000000e+00 %booltmp = uitofp i1 %cmptmp to double %ifcond = fcmp ueq double %booltmp, 0.000000e+00 br i1 %ifcond, label %else, label %ifcont else: %subtmp = fsub double %x, 1.000000e+00 %calltmp = call double @fib(double %subtmp) %subtmp5 = fsub double %x, 2.000000e+00 %calltmp6 = call double @fib(double %subtmp5) %addtmp = fadd double %calltmp, %calltmp6 ret double %addtmp ifcont: ret double 1.000000e+00 }
Here we see that the simplifycfg pass decided to clone the return instruction into the end of the 'else' block. This allowed it to eliminate some branches and the PHI node.
Now that all symbol table references are updated to use stack variables, we'll add the assignment operator.
With our current framework, adding a new assignment operator is really simple. We will parse it just like any other binary operator, but handle it internally (instead of allowing the user to define it). The first step is to set a precedence:
let main () = (* Install standard binary operators. * 1 is the lowest precedence. *) Hashtbl.add Parser.binop_precedence '=' 2; Hashtbl.add Parser.binop_precedence '<' 10; Hashtbl.add Parser.binop_precedence '+' 20; Hashtbl.add Parser.binop_precedence '-' 20; ...
Now that the parser knows the precedence of the binary operator, it takes care of all the parsing and AST generation. We just need to implement codegen for the assignment operator. This looks like:
let rec codegen_expr = function begin match op with | '=' -> (* Special case '=' because we don't want to emit the LHS as an * expression. *) let name = match lhs with | Ast.Variable name -> name | _ -> raise (Error "destination of '=' must be a variable") in
Unlike the rest of the binary operators, our assignment operator doesn't follow the "emit LHS, emit RHS, do computation" model. As such, it is handled as a special case before the other binary operators are handled. The other strange thing is that it requires the LHS to be a variable. It is invalid to have "(x+1) = expr" - only things like "x = expr" are allowed.
(* Codegen the rhs. *) let val_ = codegen_expr rhs in (* Lookup the name. *) let variable = try Hashtbl.find named_values name with | Not_found -> raise (Error "unknown variable name") in ignore(build_store val_ variable builder); val_ | _ -> ...
Once we have the variable, codegen'ing the assignment is straightforward: we emit the RHS of the assignment, create a store, and return the computed value. Returning a value allows for chained assignments like "X = (Y = Z)".
Now that we have an assignment operator, we can mutate loop variables and arguments. For example, we can now run code like this:
# Function to print a double. extern printd(x); # Define ':' for sequencing: as a low-precedence operator that ignores operands # and just returns the RHS. def binary : 1 (x y) y; def test(x) printd(x) : x = 4 : printd(x); test(123);
When run, this example prints "123" and then "4", showing that we did actually mutate the value! Okay, we have now officially implemented our goal: getting this to work requires SSA construction in the general case. However, to be really useful, we want the ability to define our own local variables, lets add this next!
Adding var/in is just like any other other extensions we made to Kaleidoscope: we extend the lexer, the parser, the AST and the code generator. The first step for adding our new 'var/in' construct is to extend the lexer. As before, this is pretty trivial, the code looks like this:
type token = ... (* var definition *) | Var ... and lex_ident buffer = parser ... | "in" -> [< 'Token.In; stream >] | "binary" -> [< 'Token.Binary; stream >] | "unary" -> [< 'Token.Unary; stream >] | "var" -> [< 'Token.Var; stream >] ...
The next step is to define the AST node that we will construct. For var/in, it looks like this:
type expr = ... (* variant for var/in. *) | Var of (string * expr option) array * expr ...
var/in allows a list of names to be defined all at once, and each name can optionally have an initializer value. As such, we capture this information in the VarNames vector. Also, var/in has a body, this body is allowed to access the variables defined by the var/in.
With this in place, we can define the parser pieces. The first thing we do is add it as a primary expression:
(* primary * ::= identifier * ::= numberexpr * ::= parenexpr * ::= ifexpr * ::= forexpr * ::= varexpr *) let rec parse_primary = parser ... (* varexpr * ::= 'var' identifier ('=' expression? * (',' identifier ('=' expression)?)* 'in' expression *) | [< 'Token.Var; (* At least one variable name is required. *) 'Token.Ident id ?? "expected identifier after var"; init=parse_var_init; var_names=parse_var_names [(id, init)]; (* At this point, we have to have 'in'. *) 'Token.In ?? "expected 'in' keyword after 'var'"; body=parse_expr >] -> Ast.Var (Array.of_list (List.rev var_names), body) ... and parse_var_init = parser (* read in the optional initializer. *) | [< 'Token.Kwd '='; e=parse_expr >] -> Some e | [< >] -> None and parse_var_names accumulator = parser | [< 'Token.Kwd ','; 'Token.Ident id ?? "expected identifier list after var"; init=parse_var_init; e=parse_var_names ((id, init) :: accumulator) >] -> e | [< >] -> accumulator
Now that we can parse and represent the code, we need to support emission of LLVM IR for it. This code starts out with:
let rec codegen_expr = function ... | Ast.Var (var_names, body) let old_bindings = ref [] in let the_function = block_parent (insertion_block builder) in (* Register all variables and emit their initializer. *) Array.iter (fun (var_name, init) ->
Basically it loops over all the variables, installing them one at a time. For each variable we put into the symbol table, we remember the previous value that we replace in OldBindings.
(* Emit the initializer before adding the variable to scope, this * prevents the initializer from referencing the variable itself, and * permits stuff like this: * var a = 1 in * var a = a in ... # refers to outer 'a'. *) let init_val = match init with | Some init -> codegen_expr init (* If not specified, use 0.0. *) | None -> const_float double_type 0.0 in let alloca = create_entry_block_alloca the_function var_name in ignore(build_store init_val alloca builder); (* Remember the old variable binding so that we can restore the binding * when we unrecurse. *) begin try let old_value = Hashtbl.find named_values var_name in old_bindings := (var_name, old_value) :: !old_bindings; with Not_found > () end; (* Remember this binding. *) Hashtbl.add named_values var_name alloca; ) var_names;
There are more comments here than code. The basic idea is that we emit the initializer, create the alloca, then update the symbol table to point to it. Once all the variables are installed in the symbol table, we evaluate the body of the var/in expression:
(* Codegen the body, now that all vars are in scope. *) let body_val = codegen_expr body in
Finally, before returning, we restore the previous variable bindings:
(* Pop all our variables from scope. *) List.iter (fun (var_name, old_value) -> Hashtbl.add named_values var_name old_value ) !old_bindings; (* Return the body computation. *) body_val
The end result of all of this is that we get properly scoped variable definitions, and we even (trivially) allow mutation of them :).
With this, we completed what we set out to do. Our nice iterative fib example from the intro compiles and runs just fine. The mem2reg pass optimizes all of our stack variables into SSA registers, inserting PHI nodes where needed, and our front-end remains simple: no "iterated dominance frontier" computation anywhere in sight.
Here is the complete code listing for our running example, enhanced with mutable variables and var/in support. To build this example, use:
# Compile ocamlbuild toy.byte # Run ./toy.byte
Here is the code:
<{lexer,parser}.ml>: use_camlp4, pp(camlp4of) <*.{byte,native}>: g++, use_llvm, use_llvm_analysis <*.{byte,native}>: use_llvm_executionengine, use_llvm_target <*.{byte,native}>: use_llvm_scalar_opts, use_bindings
open Ocamlbuild_plugin;; ocaml_lib ~extern:true "llvm";; ocaml_lib ~extern:true "llvm_analysis";; ocaml_lib ~extern:true "llvm_executionengine";; ocaml_lib ~extern:true "llvm_target";; ocaml_lib ~extern:true "llvm_scalar_opts";; flag ["link"; "ocaml"; "g++"] (S[A"-cc"; A"g++"; A"-cclib"; A"-rdynamic"]);; dep ["link"; "ocaml"; "use_bindings"] ["bindings.o"];;
(*===----------------------------------------------------------------------=== * Lexer Tokens *===----------------------------------------------------------------------===*) (* The lexer returns these 'Kwd' if it is an unknown character, otherwise one of * these others for known things. *) type token = (* commands *) | Def | Extern (* primary *) | Ident of string | Number of float (* unknown *) | Kwd of char (* control *) | If | Then | Else | For | In (* operators *) | Binary | Unary (* var definition *) | Var
(*===----------------------------------------------------------------------=== * Lexer *===----------------------------------------------------------------------===*) let rec lex = parser (* Skip any whitespace. *) | [< ' (' ' | '\n' | '\r' | '\t'); stream >] -> lex stream (* identifier: [a-zA-Z][a-zA-Z0-9] *) | [< ' ('A' .. 'Z' | 'a' .. 'z' as c); stream >] -> let buffer = Buffer.create 1 in Buffer.add_char buffer c; lex_ident buffer stream (* number: [0-9.]+ *) | [< ' ('0' .. '9' as c); stream >] -> let buffer = Buffer.create 1 in Buffer.add_char buffer c; lex_number buffer stream (* Comment until end of line. *) | [< ' ('#'); stream >] -> lex_comment stream (* Otherwise, just return the character as its ascii value. *) | [< 'c; stream >] -> [< 'Token.Kwd c; lex stream >] (* end of stream. *) | [< >] -> [< >] and lex_number buffer = parser | [< ' ('0' .. '9' | '.' as c); stream >] -> Buffer.add_char buffer c; lex_number buffer stream | [< stream=lex >] -> [< 'Token.Number (float_of_string (Buffer.contents buffer)); stream >] and lex_ident buffer = parser | [< ' ('A' .. 'Z' | 'a' .. 'z' | '0' .. '9' as c); stream >] -> Buffer.add_char buffer c; lex_ident buffer stream | [< stream=lex >] -> match Buffer.contents buffer with | "def" -> [< 'Token.Def; stream >] | "extern" -> [< 'Token.Extern; stream >] | "if" -> [< 'Token.If; stream >] | "then" -> [< 'Token.Then; stream >] | "else" -> [< 'Token.Else; stream >] | "for" -> [< 'Token.For; stream >] | "in" -> [< 'Token.In; stream >] | "binary" -> [< 'Token.Binary; stream >] | "unary" -> [< 'Token.Unary; stream >] | "var" -> [< 'Token.Var; stream >] | id -> [< 'Token.Ident id; stream >] and lex_comment = parser | [< ' ('\n'); stream=lex >] -> stream | [< 'c; e=lex_comment >] -> e | [< >] -> [< >]
(*===----------------------------------------------------------------------=== * Abstract Syntax Tree (aka Parse Tree) *===----------------------------------------------------------------------===*) (* expr - Base type for all expression nodes. *) type expr = (* variant for numeric literals like "1.0". *) | Number of float (* variant for referencing a variable, like "a". *) | Variable of string (* variant for a unary operator. *) | Unary of char * expr (* variant for a binary operator. *) | Binary of char * expr * expr (* variant for function calls. *) | Call of string * expr array (* variant for if/then/else. *) | If of expr * expr * expr (* variant for for/in. *) | For of string * expr * expr * expr option * expr (* variant for var/in. *) | Var of (string * expr option) array * expr (* proto - This type represents the "prototype" for a function, which captures * its name, and its argument names (thus implicitly the number of arguments the * function takes). *) type proto = | Prototype of string * string array | BinOpPrototype of string * string array * int (* func - This type represents a function definition itself. *) type func = Function of proto * expr
(*===---------------------------------------------------------------------=== * Parser *===---------------------------------------------------------------------===*) (* binop_precedence - This holds the precedence for each binary operator that is * defined *) let binop_precedence:(char, int) Hashtbl.t = Hashtbl.create 10 (* precedence - Get the precedence of the pending binary operator token. *) let precedence c = try Hashtbl.find binop_precedence c with Not_found -> -1 (* primary * ::= identifier * ::= numberexpr * ::= parenexpr * ::= ifexpr * ::= forexpr * ::= varexpr *) let rec parse_primary = parser (* numberexpr ::= number *) | [< 'Token.Number n >] -> Ast.Number n (* parenexpr ::= '(' expression ')' *) | [< 'Token.Kwd '('; e=parse_expr; 'Token.Kwd ')' ?? "expected ')'" >] -> e (* identifierexpr * ::= identifier * ::= identifier '(' argumentexpr ')' *) | [< 'Token.Ident id; stream >] -> let rec parse_args accumulator = parser | [< e=parse_expr; stream >] -> begin parser | [< 'Token.Kwd ','; e=parse_args (e :: accumulator) >] -> e | [< >] -> e :: accumulator end stream | [< >] -> accumulator in let rec parse_ident id = parser (* Call. *) | [< 'Token.Kwd '('; args=parse_args []; 'Token.Kwd ')' ?? "expected ')'">] -> Ast.Call (id, Array.of_list (List.rev args)) (* Simple variable ref. *) | [< >] -> Ast.Variable id in parse_ident id stream (* ifexpr ::= 'if' expr 'then' expr 'else' expr *) | [< 'Token.If; c=parse_expr; 'Token.Then ?? "expected 'then'"; t=parse_expr; 'Token.Else ?? "expected 'else'"; e=parse_expr >] -> Ast.If (c, t, e) (* forexpr ::= 'for' identifier '=' expr ',' expr (',' expr)? 'in' expression *) | [< 'Token.For; 'Token.Ident id ?? "expected identifier after for"; 'Token.Kwd '=' ?? "expected '=' after for"; stream >] -> begin parser | [< start=parse_expr; 'Token.Kwd ',' ?? "expected ',' after for"; end_=parse_expr; stream >] -> let step = begin parser | [< 'Token.Kwd ','; step=parse_expr >] -> Some step | [< >] -> None end stream in begin parser | [< 'Token.In; body=parse_expr >] -> Ast.For (id, start, end_, step, body) | [< >] -> raise (Stream.Error "expected 'in' after for") end stream | [< >] -> raise (Stream.Error "expected '=' after for") end stream (* varexpr * ::= 'var' identifier ('=' expression? * (',' identifier ('=' expression)?)* 'in' expression *) | [< 'Token.Var; (* At least one variable name is required. *) 'Token.Ident id ?? "expected identifier after var"; init=parse_var_init; var_names=parse_var_names [(id, init)]; (* At this point, we have to have 'in'. *) 'Token.In ?? "expected 'in' keyword after 'var'"; body=parse_expr >] -> Ast.Var (Array.of_list (List.rev var_names), body) | [< >] -> raise (Stream.Error "unknown token when expecting an expression.") (* unary * ::= primary * ::= '!' unary *) and parse_unary = parser (* If this is a unary operator, read it. *) | [< 'Token.Kwd op when op != '(' && op != ')'; operand=parse_expr >] -> Ast.Unary (op, operand) (* If the current token is not an operator, it must be a primary expr. *) | [< stream >] -> parse_primary stream (* binoprhs * ::= ('+' primary)* *) and parse_bin_rhs expr_prec lhs stream = match Stream.peek stream with (* If this is a binop, find its precedence. *) | Some (Token.Kwd c) when Hashtbl.mem binop_precedence c -> let token_prec = precedence c in (* If this is a binop that binds at least as tightly as the current binop, * consume it, otherwise we are done. *) if token_prec < expr_prec then lhs else begin (* Eat the binop. *) Stream.junk stream; (* Parse the primary expression after the binary operator. *) let rhs = parse_unary stream in (* Okay, we know this is a binop. *) let rhs = match Stream.peek stream with | Some (Token.Kwd c2) -> (* If BinOp binds less tightly with rhs than the operator after * rhs, let the pending operator take rhs as its lhs. *) let next_prec = precedence c2 in if token_prec < next_prec then parse_bin_rhs (token_prec + 1) rhs stream else rhs | _ -> rhs in (* Merge lhs/rhs. *) let lhs = Ast.Binary (c, lhs, rhs) in parse_bin_rhs expr_prec lhs stream end | _ -> lhs and parse_var_init = parser (* read in the optional initializer. *) | [< 'Token.Kwd '='; e=parse_expr >] -> Some e | [< >] -> None and parse_var_names accumulator = parser | [< 'Token.Kwd ','; 'Token.Ident id ?? "expected identifier list after var"; init=parse_var_init; e=parse_var_names ((id, init) :: accumulator) >] -> e | [< >] -> accumulator (* expression * ::= primary binoprhs *) and parse_expr = parser | [< lhs=parse_unary; stream >] -> parse_bin_rhs 0 lhs stream (* prototype * ::= id '(' id* ')' * ::= binary LETTER number? (id, id) * ::= unary LETTER number? (id) *) let parse_prototype = let rec parse_args accumulator = parser | [< 'Token.Ident id; e=parse_args (id::accumulator) >] -> e | [< >] -> accumulator in let parse_operator = parser | [< 'Token.Unary >] -> "unary", 1 | [< 'Token.Binary >] -> "binary", 2 in let parse_binary_precedence = parser | [< 'Token.Number n >] -> int_of_float n | [< >] -> 30 in parser | [< 'Token.Ident id; 'Token.Kwd '(' ?? "expected '(' in prototype"; args=parse_args []; 'Token.Kwd ')' ?? "expected ')' in prototype" >] -> (* success. *) Ast.Prototype (id, Array.of_list (List.rev args)) | [< (prefix, kind)=parse_operator; 'Token.Kwd op ?? "expected an operator"; (* Read the precedence if present. *) binary_precedence=parse_binary_precedence; 'Token.Kwd '(' ?? "expected '(' in prototype"; args=parse_args []; 'Token.Kwd ')' ?? "expected ')' in prototype" >] -> let name = prefix ^ (String.make 1 op) in let args = Array.of_list (List.rev args) in (* Verify right number of arguments for operator. *) if Array.length args != kind then raise (Stream.Error "invalid number of operands for operator") else if kind == 1 then Ast.Prototype (name, args) else Ast.BinOpPrototype (name, args, binary_precedence) | [< >] -> raise (Stream.Error "expected function name in prototype") (* definition ::= 'def' prototype expression *) let parse_definition = parser | [< 'Token.Def; p=parse_prototype; e=parse_expr >] -> Ast.Function (p, e) (* toplevelexpr ::= expression *) let parse_toplevel = parser | [< e=parse_expr >] -> (* Make an anonymous proto. *) Ast.Function (Ast.Prototype ("", [||]), e) (* external ::= 'extern' prototype *) let parse_extern = parser | [< 'Token.Extern; e=parse_prototype >] -> e
(*===----------------------------------------------------------------------=== * Code Generation *===----------------------------------------------------------------------===*) open Llvm exception Error of string let context = global_context () let the_module = create_module context "my cool jit" let builder = builder context let named_values:(string, llvalue) Hashtbl.t = Hashtbl.create 10 let double_type = double_type context (* Create an alloca instruction in the entry block of the function. This * is used for mutable variables etc. *) let create_entry_block_alloca the_function var_name = let builder = builder_at context (instr_begin (entry_block the_function)) in build_alloca double_type var_name builder let rec codegen_expr = function | Ast.Number n -> const_float double_type n | Ast.Variable name -> let v = try Hashtbl.find named_values name with | Not_found -> raise (Error "unknown variable name") in (* Load the value. *) build_load v name builder | Ast.Unary (op, operand) -> let operand = codegen_expr operand in let callee = "unary" ^ (String.make 1 op) in let callee = match lookup_function callee the_module with | Some callee -> callee | None -> raise (Error "unknown unary operator") in build_call callee [|operand|] "unop" builder | Ast.Binary (op, lhs, rhs) -> begin match op with | '=' -> (* Special case '=' because we don't want to emit the LHS as an * expression. *) let name = match lhs with | Ast.Variable name -> name | _ -> raise (Error "destination of '=' must be a variable") in (* Codegen the rhs. *) let val_ = codegen_expr rhs in (* Lookup the name. *) let variable = try Hashtbl.find named_values name with | Not_found -> raise (Error "unknown variable name") in ignore(build_store val_ variable builder); val_ | _ -> let lhs_val = codegen_expr lhs in let rhs_val = codegen_expr rhs in begin match op with | '+' -> build_add lhs_val rhs_val "addtmp" builder | '-' -> build_sub lhs_val rhs_val "subtmp" builder | '*' -> build_mul lhs_val rhs_val "multmp" builder | '<' -> (* Convert bool 0/1 to double 0.0 or 1.0 *) let i = build_fcmp Fcmp.Ult lhs_val rhs_val "cmptmp" builder in build_uitofp i double_type "booltmp" builder | _ -> (* If it wasn't a builtin binary operator, it must be a user defined * one. Emit a call to it. *) let callee = "binary" ^ (String.make 1 op) in let callee = match lookup_function callee the_module with | Some callee -> callee | None -> raise (Error "binary operator not found!") in build_call callee [|lhs_val; rhs_val|] "binop" builder end end | Ast.Call (callee, args) -> (* Look up the name in the module table. *) let callee = match lookup_function callee the_module with | Some callee -> callee | None -> raise (Error "unknown function referenced") in let params = params callee in (* If argument mismatch error. *) if Array.length params == Array.length args then () else raise (Error "incorrect # arguments passed"); let args = Array.map codegen_expr args in build_call callee args "calltmp" builder | Ast.If (cond, then_, else_) -> let cond = codegen_expr cond in (* Convert condition to a bool by comparing equal to 0.0 *) let zero = const_float double_type 0.0 in let cond_val = build_fcmp Fcmp.One cond zero "ifcond" builder in (* Grab the first block so that we might later add the conditional branch * to it at the end of the function. *) let start_bb = insertion_block builder in let the_function = block_parent start_bb in let then_bb = append_block context "then" the_function in (* Emit 'then' value. *) position_at_end then_bb builder; let then_val = codegen_expr then_ in (* Codegen of 'then' can change the current block, update then_bb for the * phi. We create a new name because one is used for the phi node, and the * other is used for the conditional branch. *) let new_then_bb = insertion_block builder in (* Emit 'else' value. *) let else_bb = append_block context "else" the_function in position_at_end else_bb builder; let else_val = codegen_expr else_ in (* Codegen of 'else' can change the current block, update else_bb for the * phi. *) let new_else_bb = insertion_block builder in (* Emit merge block. *) let merge_bb = append_block context "ifcont" the_function in position_at_end merge_bb builder; let incoming = [(then_val, new_then_bb); (else_val, new_else_bb)] in let phi = build_phi incoming "iftmp" builder in (* Return to the start block to add the conditional branch. *) position_at_end start_bb builder; ignore (build_cond_br cond_val then_bb else_bb builder); (* Set a unconditional branch at the end of the 'then' block and the * 'else' block to the 'merge' block. *) position_at_end new_then_bb builder; ignore (build_br merge_bb builder); position_at_end new_else_bb builder; ignore (build_br merge_bb builder); (* Finally, set the builder to the end of the merge block. *) position_at_end merge_bb builder; phi | Ast.For (var_name, start, end_, step, body) -> (* Output this as: * var = alloca double * ... * start = startexpr * store start -> var * goto loop * loop: * ... * bodyexpr * ... * loopend: * step = stepexpr * endcond = endexpr * * curvar = load var * nextvar = curvar + step * store nextvar -> var * br endcond, loop, endloop * outloop: *) let the_function = block_parent (insertion_block builder) in (* Create an alloca for the variable in the entry block. *) let alloca = create_entry_block_alloca the_function var_name in (* Emit the start code first, without 'variable' in scope. *) let start_val = codegen_expr start in (* Store the value into the alloca. *) ignore(build_store start_val alloca builder); (* Make the new basic block for the loop header, inserting after current * block. *) let loop_bb = append_block context "loop" the_function in (* Insert an explicit fall through from the current block to the * loop_bb. *) ignore (build_br loop_bb builder); (* Start insertion in loop_bb. *) position_at_end loop_bb builder; (* Within the loop, the variable is defined equal to the PHI node. If it * shadows an existing variable, we have to restore it, so save it * now. *) let old_val = try Some (Hashtbl.find named_values var_name) with Not_found -> None in Hashtbl.add named_values var_name alloca; (* Emit the body of the loop. This, like any other expr, can change the * current BB. Note that we ignore the value computed by the body, but * don't allow an error *) ignore (codegen_expr body); (* Emit the step value. *) let step_val = match step with | Some step -> codegen_expr step (* If not specified, use 1.0. *) | None -> const_float double_type 1.0 in (* Compute the end condition. *) let end_cond = codegen_expr end_ in (* Reload, increment, and restore the alloca. This handles the case where * the body of the loop mutates the variable. *) let cur_var = build_load alloca var_name builder in let next_var = build_add cur_var step_val "nextvar" builder in ignore(build_store next_var alloca builder); (* Convert condition to a bool by comparing equal to 0.0. *) let zero = const_float double_type 0.0 in let end_cond = build_fcmp Fcmp.One end_cond zero "loopcond" builder in (* Create the "after loop" block and insert it. *) let after_bb = append_block context "afterloop" the_function in (* Insert the conditional branch into the end of loop_end_bb. *) ignore (build_cond_br end_cond loop_bb after_bb builder); (* Any new code will be inserted in after_bb. *) position_at_end after_bb builder; (* Restore the unshadowed variable. *) begin match old_val with | Some old_val -> Hashtbl.add named_values var_name old_val | None -> () end; (* for expr always returns 0.0. *) const_null double_type | Ast.Var (var_names, body) -> let old_bindings = ref [] in let the_function = block_parent (insertion_block builder) in (* Register all variables and emit their initializer. *) Array.iter (fun (var_name, init) -> (* Emit the initializer before adding the variable to scope, this * prevents the initializer from referencing the variable itself, and * permits stuff like this: * var a = 1 in * var a = a in ... # refers to outer 'a'. *) let init_val = match init with | Some init -> codegen_expr init (* If not specified, use 0.0. *) | None -> const_float double_type 0.0 in let alloca = create_entry_block_alloca the_function var_name in ignore(build_store init_val alloca builder); (* Remember the old variable binding so that we can restore the binding * when we unrecurse. *) begin try let old_value = Hashtbl.find named_values var_name in old_bindings := (var_name, old_value) :: !old_bindings; with Not_found -> () end; (* Remember this binding. *) Hashtbl.add named_values var_name alloca; ) var_names; (* Codegen the body, now that all vars are in scope. *) let body_val = codegen_expr body in (* Pop all our variables from scope. *) List.iter (fun (var_name, old_value) -> Hashtbl.add named_values var_name old_value ) !old_bindings; (* Return the body computation. *) body_val let codegen_proto = function | Ast.Prototype (name, args) | Ast.BinOpPrototype (name, args, _) -> (* Make the function type: double(double,double) etc. *) let doubles = Array.make (Array.length args) double_type in let ft = function_type double_type doubles in let f = match lookup_function name the_module with | None -> declare_function name ft the_module (* If 'f' conflicted, there was already something named 'name'. If it * has a body, don't allow redefinition or reextern. *) | Some f -> (* If 'f' already has a body, reject this. *) if block_begin f <> At_end f then raise (Error "redefinition of function"); (* If 'f' took a different number of arguments, reject. *) if element_type (type_of f) <> ft then raise (Error "redefinition of function with different # args"); f in (* Set names for all arguments. *) Array.iteri (fun i a -> let n = args.(i) in set_value_name n a; Hashtbl.add named_values n a; ) (params f); f (* Create an alloca for each argument and register the argument in the symbol * table so that references to it will succeed. *) let create_argument_allocas the_function proto = let args = match proto with | Ast.Prototype (_, args) | Ast.BinOpPrototype (_, args, _) -> args in Array.iteri (fun i ai -> let var_name = args.(i) in (* Create an alloca for this variable. *) let alloca = create_entry_block_alloca the_function var_name in (* Store the initial value into the alloca. *) ignore(build_store ai alloca builder); (* Add arguments to variable symbol table. *) Hashtbl.add named_values var_name alloca; ) (params the_function) let codegen_func the_fpm = function | Ast.Function (proto, body) -> Hashtbl.clear named_values; let the_function = codegen_proto proto in (* If this is an operator, install it. *) begin match proto with | Ast.BinOpPrototype (name, args, prec) -> let op = name.[String.length name - 1] in Hashtbl.add Parser.binop_precedence op prec; | _ -> () end; (* Create a new basic block to start insertion into. *) let bb = append_block context "entry" the_function in position_at_end bb builder; try (* Add all arguments to the symbol table and create their allocas. *) create_argument_allocas the_function proto; let ret_val = codegen_expr body in (* Finish off the function. *) let _ = build_ret ret_val builder in (* Validate the generated code, checking for consistency. *) Llvm_analysis.assert_valid_function the_function; (* Optimize the function. *) let _ = PassManager.run_function the_function the_fpm in the_function with e -> delete_function the_function; raise e
(*===----------------------------------------------------------------------=== * Top-Level parsing and JIT Driver *===----------------------------------------------------------------------===*) open Llvm open Llvm_executionengine (* top ::= definition | external | expression | ';' *) let rec main_loop the_fpm the_execution_engine stream = match Stream.peek stream with | None -> () (* ignore top-level semicolons. *) | Some (Token.Kwd ';') -> Stream.junk stream; main_loop the_fpm the_execution_engine stream | Some token -> begin try match token with | Token.Def -> let e = Parser.parse_definition stream in print_endline "parsed a function definition."; dump_value (Codegen.codegen_func the_fpm e); | Token.Extern -> let e = Parser.parse_extern stream in print_endline "parsed an extern."; dump_value (Codegen.codegen_proto e); | _ -> (* Evaluate a top-level expression into an anonymous function. *) let e = Parser.parse_toplevel stream in print_endline "parsed a top-level expr"; let the_function = Codegen.codegen_func the_fpm e in dump_value the_function; (* JIT the function, returning a function pointer. *) let result = ExecutionEngine.run_function the_function [||] the_execution_engine in print_string "Evaluated to "; print_float (GenericValue.as_float Codegen.double_type result); print_newline (); with Stream.Error s | Codegen.Error s -> (* Skip token for error recovery. *) Stream.junk stream; print_endline s; end; print_string "ready> "; flush stdout; main_loop the_fpm the_execution_engine stream
(*===----------------------------------------------------------------------=== * Main driver code. *===----------------------------------------------------------------------===*) open Llvm open Llvm_executionengine open Llvm_target open Llvm_scalar_opts let main () = ignore (initialize_native_target ()); (* Install standard binary operators. * 1 is the lowest precedence. *) Hashtbl.add Parser.binop_precedence '=' 2; Hashtbl.add Parser.binop_precedence '<' 10; Hashtbl.add Parser.binop_precedence '+' 20; Hashtbl.add Parser.binop_precedence '-' 20; Hashtbl.add Parser.binop_precedence '*' 40; (* highest. *) (* Prime the first token. *) print_string "ready> "; flush stdout; let stream = Lexer.lex (Stream.of_channel stdin) in (* Create the JIT. *) let the_execution_engine = ExecutionEngine.create Codegen.the_module in let the_fpm = PassManager.create_function Codegen.the_module in (* Set up the optimizer pipeline. Start with registering info about how the * target lays out data structures. *) TargetData.add (ExecutionEngine.target_data the_execution_engine) the_fpm; (* Promote allocas to registers. *) add_memory_to_register_promotion the_fpm; (* Do simple "peephole" optimizations and bit-twiddling optzn. *) add_instruction_combination the_fpm; (* reassociate expressions. *) add_reassociation the_fpm; (* Eliminate Common SubExpressions. *) add_gvn the_fpm; (* Simplify the control flow graph (deleting unreachable blocks, etc). *) add_cfg_simplification the_fpm; ignore (PassManager.initialize the_fpm); (* Run the main "interpreter loop" now. *) Toplevel.main_loop the_fpm the_execution_engine stream; (* Print out all the generated code. *) dump_module Codegen.the_module ;; main ()
#include <stdio.h> /* putchard - putchar that takes a double and returns 0. */ extern double putchard(double X) { putchar((char)X); return 0; } /* printd - printf that takes a double prints it as "%f\n", returning 0. */ extern double printd(double X) { printf("%f\n", X); return 0; }


This is with full humply Momayaz.I graduated from Zarqa university,Translation, worked cash manager in the same university, but before get started three months ago,I the first goal that i put it in my mind right now is to be good in software development.Personally, i belive that whenever you get hart, the acheivements are going to be true and the result will appear soon.