From 463d5d795b1c0209fee115b4586a8823c1b7d896 Mon Sep 17 00:00:00 2001 From: Xin Li <lixin.reco@gmail.com> Date: Wed, 15 Aug 2018 19:07:36 +0200 Subject: [PATCH] added markdown version of instruction --- intro_lab/README.md | 247 ++++++++++++++++++++++++++++++++++++ intro_lab/image/pi_eq_1.png | Bin 0 -> 24795 bytes intro_lab/image/pi_eq_2.png | Bin 0 -> 23313 bytes intro_lab/image/pi_int.png | Bin 0 -> 68878 bytes 4 files changed, 247 insertions(+) create mode 100644 intro_lab/README.md create mode 100644 intro_lab/image/pi_eq_1.png create mode 100644 intro_lab/image/pi_eq_2.png create mode 100644 intro_lab/image/pi_int.png diff --git a/intro_lab/README.md b/intro_lab/README.md new file mode 100644 index 0000000..99960ca --- /dev/null +++ b/intro_lab/README.md @@ -0,0 +1,247 @@ +# OpenMP Lab Assignment + +## Overview + +The goal of these exercises is to familiarize you with OpenMP environment and +make our first parallel codes with OpenMP. We will also record the code +performance and understand race condition and false sharing. This laboratory +contains four exercises, each with step-by-step instructions below. + +For your experiments, you are going to use a node of the +[Beskow](https://www.pdc.kth.se/hpc-services/computing-systems/beskow-1.737436) +supercomputer. To run your code on Beskow, you need first to generate your +executable. It is very important that you include a compiler flag telling the +compiler that you are going to use OpenMP. If you forget the flag, the compiler +will happily ignore all the OpenMP directives and create an executable that +runs in serial. Different compilers have different flags. When using Cray +compilers, the OpenMP flag is ``-openmp``. + +To compile your C OpenMP code using the default Cray compilers: + +``` +cc -O2 -openmp -lm name_source.c -o name_exec +``` + +In Fortran, you need to use the Intel compiler. On Beskow, you first need to +switch first from Cray to Intel compiler with: + +``` +module swap PrgEnv-cray PrgEnv-intel +``` + +and then compile with: + +``` +ftn -fpp -O2 -openmp -lm name_source.f90 -o name_exec +``` + +<!--- +**Very Important**: Do not copy and paste from this document to your terminal +since the - symbol will create problems when compiling. +--> + +To run your code on Beskow, you will need to have an interactive allocation: + +``` +salloc -N 1 -t 4:00:00 -A edu18.summer --reservation=summer-2018-08-15 +``` + +To set the number of threads, you need to set the OpenMP environment variable: + +``` +export OMP_NUM_THREADS=<number-of-threads> +``` + +To run an OpenMP code on a computing node of Beskow: + +``` +aprun -n 1 -d number of threads -cc none ./name_exec +``` + +## Exercise-1 - OpenMP Hello World: get familiar with OpenMp Environment + +_Concepts: Parallel regions, parallel, thread ID_ + +Here we are going to implement the first OpenMP program. Expected knowledge +includes basic understanding of OpenMP environment, how to compile an OpenMP +program, how to set the number of OpenMP threads and retrieve the thread ID +number at runtime. + +Your code using 4 threads should behave similarly to: + +Input: + +``` +aprun -n 1 -d 4 -cc none ./hello +``` + +Output: + +``` +Hello World from Thread 3 +Hello World from Thread 0 +Hello World from Thread 2 +Hello World from Thread 1 +``` + +Instructions: Write a C/Fortran code to make each OpenMP thread print "``Hello +World from Thread X!``" with ``X`` = thread ID. + +Hints: + +- Remember to include OpenMP library +- Retrieve the ID of the thread with ``omp_get_thread_num()`` in C or in Fortran ``OMP_GET_THREAD_NUM()``. + +Questions: + +- How do you change the number of threads? +- How many different ways are there to change the number of threads? Which one are those? +- How can you make the output ordered from thread 0 to thread 4? + +## Exercise 2 - Creating Threads: calculate pi in parallel opnalryaulslienlg tphreagma + +_Concepts: Parallel, default data environment, runtime library calls_ + +Here we are going to implement a first parallel version of the pi.c / pi.f90 +code to calculate the value of pi using the parallel construct. + +The figure below shows the numerical technique, we are going to use to calculate pi. + + + +Mathematically, we know that + + + +We can approximate the integral as a sum of rectangles + + + +where each rectangle has width Delta_x and height F(x<sub>i</sub>) at the middle of interval i. + +A simple serial C code to calculate pi is the following: + +``` +static long num_steps = 100000000; +double step; +int main() +{ + int i; + double x, pi, sum = 0.0; + double start_time, run_time; + step = 1.0/(double) num_steps; + for (i=1; i<=num_steps; i++) { + x = (i-0.5)*step; + } + sum = sum + 4.0/(1.0+x*x); + pi = step * sum; +} +``` + +Instructions: Create a parallel version of the pi.c / pi.f90 program using a +parallel construct: ``#pragma omp parallel``. Run the parallel code and take the +execution time with 1, 2, 4, 8, 16, 32 threads. Record the timing. + +Pay close attention to shared versus private variables. + +- In addition to a parallel construct, you might need the runtime library routines +- ``int omp_get_num_threads()``; to get the number of threads in a team +- ``int omp_get_thread_num()``; to get thread ID +- ``double omp_get_wtime()``; to get the time in seconds since a fixed point in the past +- ``omp_set_num_threads()``; to request a number of threads in a team + +Hints: + +- Use a parallel construct: ``#pragma omp parallel``. +- Divide loop iterations between threads (use the thread ID and the number of threads). +- Create an accumulator for each thread to hold partial sums that you can later + combine to generate the global sum, i.e., + +``` +#define MAX_THREADS 4 +... +int main () +{ + double pi, full_sum = 0.0; + double sum[MAX_THREADS]; + for (j=1; j<=MAX_THREADS; j++) { + /* set the number of threads to j and start timing here */ + ... + #pragma omp parallel + { + ... + sum[id] = 0.0; + for (i ...) { + x = (i+0.5)*step; + sum[id] = sum[id] + 4.0/(1.0+x*x); + } + // calculate full_sum iterating over sum[id] + ... + pi = step * full_sum; + /* stop and report timing here */ + ... + } + } +} +``` + +Questions: + +- How does the execution time change varying the number of threads? Is what you + expected? If not, why you think it is so? +- Is there any technique you heard in class to improve the scalability of the + technique? How would you implement it? + +## Exercise 3 - calculate picursintgical andatomic directives + +_Concepts: parallel region, synchronization, critical, atomic_ + +Here we are going to implement a second and a third parallel version of the +pi.c / pi.f90 code to calculate the value of pi using the critical and atomic +directives. + +Instructions: Create two new parallel versions of the pi.c / pi.f90 program +using the parallel construct ``#pragma omp parallel`` and 1) ``#pragma omp critical`` +2) ``#pragma omp atomic``. Run the two new parallel codes and take the execution +time with 1, 2, 4, 8, 16, 32 threads. Record the timing in a table. + +Hints: + +- We can use a shared variable pi to be updated concurrently by different + threads. However, this variable needs to be protected with a critical section + or an atomic access. +- Use critical and atomic before the update ``pi += step`` + +Questions: + +- What would happen if you hadn’t used critical or atomic a shared variable? +- How does the execution time change varying the number of threads? Is it what + you expected? +- Do the two version of the codes differ in performance? If so, what do you + think it is the reason? + +## Exercise 4 - calculate pi with a loop and a reduction + +_Concepts: worksharing, parallel loop, schedule, reduction_ + +Here we are going to implement a fourth parallel version of the pi.c / pi.f90 +code to calculate the value of pi using omp for and reduction operations. + +Instructions: Create a new parallel versions of the pi.c / pi.f90 program using +the parallel construct ``#pragma omp for`` and ``reduction`` operation. Run the new +parallel code and take the execution time for 1, 2, 4, 8, 16, 32 threads. Record +the timing in a table. Change the schedule to dynamic and guided and measure +the execution time for 1, 2, 4, 8, 16, 32 threads. + +Hints: + +To change the schedule, you can either change the environment variable with +``export OMP_SCHEDULE=<type>`` where type can be any of static, dynamic, guided or in +the source code as ``omp parallel for schedule(<type>)``. + +Questions: + +- What is the scheduling that provides the best performance? What is the reason for that? +- What is the fastest parallel implementation of pi.c / pi.f90 program? What is + the reason for being the fastest? 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