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This tutorial is the first in a series of successive tutorials aimed at teaching CSL and the SDK by implementing a general matrix-vector product, or GEMV. This tutorial starts by illustrating the syntax of some of the core language constructs. The code in this example is not a complete program, but it shows some of the most commonly-used features of the language. Additionally, you can find the complete source code for these tutorial programs in the SDK examples bundled with the release tarball, or in the SDK examples GitHub repository.

Before You Start

These tutorials are intended for a beginner CSL programmer using the Cerebras SDK. Before you proceed, make sure you installed the Cerebras SDK successfully. See Install the Cerebras SDK. As you proceed through these tutorials, you may find Wafer-Scale Engine Architecture and Host Runtime and Tensor Streaming helpful references for some of the basics of the CSL programming model and the SdkRuntime host runtime.

Learning Objectives

After completing this tutorial, you should know:
  • Basic syntax of the CSL language
  • How to write for and while loops
  • How to declare constants and variables
  • CSL’s function syntax

Introduction

CSL is a language for writing programs that run on the Cerebras Wafer Scale Engine (WSE). The WSE consists of hundreds of thousands of independent processing elements (PEs). Each PE has room for a small program and some data. CSL is designed to help you handle the multi-PE nature of the WSE and the specific challenges of writing dataflow programs for the Cerebras hardware. The design of CSL is based heavily on Zig, a general-purpose language with powerful compile-time programming constructs. Zig was chosen as the basis for CSL since its compile-time facilities make it possible to write maintainable yet highly performant code for PEs. Note, however, that while CSL’s syntax and semantics are very similar to Zig, CSL is not 100% compatible with Zig. Some features of Zig are not implemented in CSL, and CSL also includes some features that are not present in Zig.
The CSL language is not 100% compatible with Zig, and its compiler does not share any code with the Zig compiler. Some of the CSL documentation is derived from the Zig documentation. Any bug reports or other feedback on CSL, including its documentation, should be directed to Cerebras, and not to the maintainers of Zig or to Zig community forums.

Types

CSL includes some basic types such as:
  • bool for boolean values
  • i16 and i32 for 16- and 32-bit signed integers
  • u16 and u32 for 16- and 32-bit unsigned integers
  • f16 and f32 for 16- and 32-bit IEEE-754 floating point numbers
In addition to the above, CSL also supports array types and pointer types.

Functions

Functions are declared using the fn keyword. The compiler provides special functions called Builtins, whose names start with @ and whose implementation is provided by the compiler. All CSL builtins are described in Builtins.

Conditional Statements and Loops

CSL includes support for if statements and while and for loops.

Example Overview

This simple code computes the general matrix-vector product y = Ax + b, where A has dimensions M x N, x is N x 1, and b and y are M x 1. The code stores A in a one-dimensional array of size M*N, using a row-major ordering. This computation uses 32-bit arithmetic.

Write the CSL

What does the code need to do?
  1. Define the dimensions of the matrix
  2. Define arrays for holding A, x, b, and y
  3. Define a function that initializes the arrays
  4. Define a function to compute A*x + b and store the result in y
The following sections explain each part of the code.csl file shown below. This code file, along with all tutorials and examples, is available in the csl-extras directory contained within the SDK tarball.
Reading the code above, you can see the following:

Define Variables and Constants

The code first defines two constants, N and M, that give the matrix and vector dimensions. For the purposes of this and the next few tutorials, M = 4 and N = 6. It then declares the arrays A, x, b, and y, which hold the matrix and vectors. A stores N*M single-precision floating point elements, in a row-major fashion. These constants and arrays are declared in global scope: they’re visible to all functions in this code file. Note that all data items must explicitly be declared as variables or constants, with the var or const keywords.

Define the Initialize Function

Next, the code defines a function named initialize that’s called to initialize the values stored in A, x, b, and y. A is initialized so that each element i holds the value i, all values of x are initialized to 1.0, and all values of b are initialized to 2.0. y is zero-initialized. To initialize A, the function uses a for loop with the range syntax. @range(i16, M*N) returns the sequence of integers 0, 1, 2, ..., M*N-1, in i16, or 16-bit signed integer, format. The for loop iterates over this sequence of integers, and the variable idx stores the index of the current loop iteration. On each loop iteration, @as(f32, idx) casts the integer value idx to type f32, or single precision float, and assigns this value to the element A[idx]. A range-for loop also initializes all elements of x to the value 1.0. To initialize y and b, this section demonstrates the syntax of a while loop with an assignment expression that acts as a loop index. At each loop iteration, the variable i is incremented by 1. This assignment expression executes at the end of each loop iteration.

Define the gemv Function

The function gemv actually computes y = A*x + b. The outer loop iterates over M, i.e., over the rows of the matrix. For each row i in the matrix, the inner loop over N computes the dot product of that row with the vector x by incrementing the variable tmp. After completing the inner loop, the final value of y[i] is computed from tmp and b[i]. This code sample ends with a function named init_and_compute, which simply calls initialize followed by gemv.

Next

In the next tutorial, you’ll expand this code to a full program.