From 6f0ba1c910000eee1a2525d074c2448fb09dbd0a Mon Sep 17 00:00:00 2001 From: Josh Milthorpe Date: Wed, 3 Jul 2024 08:26:24 +1000 Subject: [PATCH] workshop exercises and slides --- DeviceAgnosticChapel.pdf | Bin 0 -> 2380980 bytes Makefile | 23 +++++ README.md | 106 ++++++++++++++++++++- heat.chpl | 191 ++++++++++++++++++++++++++++++++++++++ job_heat_cpu.sh | 10 ++ job_heat_gpu.sh | 13 +++ job_pi_cpu.sh | 10 ++ job_pi_gpu.sh | 13 +++ pi.chpl | 28 ++++++ solutions/Makefile | 25 +++++ solutions/heat.chpl | 184 ++++++++++++++++++++++++++++++++++++ solutions/job_heat_cpu.sh | 10 ++ solutions/job_heat_gpu.sh | 13 +++ solutions/job_pi_cpu.sh | 10 ++ solutions/job_pi_gpu.sh | 13 +++ solutions/pi.chpl | 33 +++++++ 16 files changed, 681 insertions(+), 1 deletion(-) create mode 100644 DeviceAgnosticChapel.pdf create mode 100644 Makefile create mode 100644 heat.chpl create mode 100644 job_heat_cpu.sh create mode 100644 job_heat_gpu.sh create mode 100644 job_pi_cpu.sh create mode 100644 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zVVpyJ4*YO>x(3EM;5qQa$>e#T>wBx7BA&06Ll*aiLivCA$Ta`!nO2kO2*&)*vh+eV zr`0E~InS{Upy?>_9P^4yST-+LH>EWX&1E`eE}YJ?7;iI~SS59OCd;%OpRWaUkVF)^ z$u=GQi1QZn{B-**;b44tk2kcEo~~x3I!kZNZJ-ahVt|>al`QUv&GOUNfHv*F=)TDcUxv@L#B1aT&5bP7*QL!+T&iS z^Fk_XNuw<+g@?B zuI-J}3#M(la=oqD)*h?tM~k(s+t${$ZWXKE)~#FqZ;jJ8Y}vAY-5+1H(|BpayyRe*ByTN+6l+4U$>O1Th_1pf2!b7Cti5g#T$N8ucJ;m`K+BUz39C7cQl{X Me$<)N`Zu-zZ{)l3>i_@% literal 0 HcmV?d00001 diff --git a/Makefile b/Makefile new file mode 100644 index 0000000..c175260 --- /dev/null +++ b/Makefile @@ -0,0 +1,23 @@ + +ifdef DEBUG +CHPL_FLAGS=-g +else +CHPL_FLAGS=--fast +endif + +pi_cpu: pi.chpl + CHPL_LOCALE_MODEL=flat chpl $(CHPL_FLAGS) $< -o $@ + +pi_gpu: pi.chpl + CHPL_LOCALE_MODEL=gpu CHPL_GPU=nvidia chpl $(CHPL_FLAGS) $< -o $@ + +heat_cpu: heat.chpl + CHPL_LOCALE_MODEL=flat chpl $(CHPL_FLAGS) $< -o $@ + +heat_gpu: heat.chpl + CHPL_LOCALE_MODEL=gpu CHPL_GPU=nvidia chpl $(CHPL_FLAGS) $< -o $@ + +.PHONY: clean + +clean: + rm pi_cpu pi_gpu heat_cpu diff --git a/README.md b/README.md index 81d3ce9..5c46df0 100644 --- a/README.md +++ b/README.md @@ -1,3 +1,107 @@ # Device-Agnostic Programming with Chapel: Exercises -This is a placeholder for the exercise repository for the Device Agnostic Programming with Chapel workshop, 3 July 2024. Please check back on 3 July for the exercises. +## Getting Started + +We will use NCI's Intel-based Gadi system for all exercises. We will use both the Cascade-Lake-based `normal` nodes and the GPU-accelerated `gpuvolta` nodes. + +To set up your environment for Chapel development, run the following command: + +``` +source /scratch/vp91/chapel-2.1/setup.bash +``` + +If you use Visual Studio Code as your editor, you may wish to install the [Chapel Language Extension for VS Code](https://marketplace.visualstudio.com/items?itemName=chpl-hpe.chapel-vscode). + + +## Numerical Computation of PI + +The file [pi.chpl](pi.chpl) contains a sequential code that numerically computes the integral of $`4/(1+x*x)`$ over the interval $`[0..1)`$, which should equal $\pi$. Review the code so you understand what it is doing. Note the line that controls the number of integration steps: + +```chapel +config const num_steps = 100000000; +``` + +Build a CPU-only executable using `make pi_cpu`. Run the executable on the login nodes with small numbers of steps to see how increasing the number of steps improves the accuracy of integration, e.g. + +``` +./pi_cpu -snum_steps 4 +``` + +### Parallel Pi + +As provided, the program computes $\pi$ in a sequential `for` loop. Modify the code so that it uses Chapel's features for [data-parallelism](https://chapel-lang.org/docs/language/spec/data-parallelism.html) to compute the integral. + +On the login nodes, you can test your changes using small numbers of threads by changing the number of [worker threads](https://chapel-lang.org/docs/usingchapel/tasks.html#controlling-the-number-of-threads) that the Chapel runtime creates. For example: + +``` +CHPL_RT_NUM_THREADS_PER_LOCALE=4 ./pi_cpu +``` + +Now run the CPU-only version on a Gadi Cascade Lake compute node using the provided jobscript: + +``` +qsub job_pi_cpu.sh +``` + +### GPU-Accelerated PI + +The [`CHPL_LOCALE_MODEL` environment variable](https://chapel-lang.org/docs/usingchapel/chplenv.html#readme-chplenv-chpl-locale-model) determines whether to compile for GPU, or CPU only. You can check the value of this environment variable in Chapel code using the [`ChplConfig` module](https://chapel-lang.org/docs/modules/standard/ChplConfig.html). For example, the following code sets the value of the `targetLoc` locale to be the first GPU sub-locale if compiling for GPUs; otherwise, it sets the value of `targetLoc` to be the current (CPU) locale. + +```chapel +use ChplConfig; +const targetLoc = if CHPL_LOCALE_MODEL == "gpu" then here.gpus[0] else here; +``` + +Modify `pi.chpl` so that it works on either CPU or GPU, depending on how it is compiled. + +Build the GPU version using `make pi_gpu`. What happens if you run it on the (CPU-only) login node? + +Run the GPU version on a Gadi GPU Volta compute node using the provided jobscript: + +``` +qsub job_pi_gpu.sh` +``` + +### Diagnostics and Profiling + +You may wonder: how does the Chapel code translate into kernel launches and data movement? Chapel provides a variety of [diagnostic utilities](https://chapel-lang.org/docs/technotes/gpu.html#diagnostics-and-utilities) to help count and trace kernel launches, data movement, and memory allocations - try adding these diagnostics to `pi.chpl`. + +How does performance compare with the CPU version? What factors might be contributing to the relative performance of each version? You may wish to conduct [GPU profiling using `nvprof` or Visual Profiler](https://docs.nvidia.com/cuda/profiler-users-guide/index.html) to better understand the performance of the GPU code. + +## Heat Equation Solver + +The file [heat.chpl](heat.chpl) contains a sequential code that numerically solves the 2D heat equation using an explicit finite difference discretization. + +### Parallel Heat + +Modify `heat.chpl` to parallelize the solver as much as possible, making sure that correctness (as measured by `Error (L2norm)`) is maintained. + +Once you are happy with your parallel solver, consider also parallelizing the initialization and solution check code. + +Run your parallel solver using the provided jobscript: + +``` +qsub job_heat_cpu.sh +``` + +### GPU-Accelerated Heat + +Modify `heat.chpl` so that it works on either CPU or GPU, depending on how it is compiled. + +Run your GPU solver using the provided jobscript: + +``` +qsub job_heat_gpu.sh +``` + +How does the performance compare to the CPU version? Can you use Chapel GPU diagnostics or profiling (e.g. `nvprof`) to understand and improve the performance of your code? + +### Inspecting the Generated Code + +If you are comfortable with reading [PTX code](https://docs.nvidia.com/cuda/parallel-thread-execution/index.html), you can inspect the PTX that the Chapel compiler has created from your data-parallel loops. Add the compile option `--savec tmp` to the `CHPL_FLAGS` variable in the Makefile, to instruct the Chapel compiler to save all intermediate generated binary code to the directory `tmp`. You should find the generated PTX in the file `tmp/chpl__gpu.s`. + +In the PTX, each generated kernel is named after the file and line number of the Chapel code that it is generated from. For example, if your heat file contains a `forall` data-parallel loop on line 147, then the PTX should contain a generated kernel starting with the following line: + +``` + // .globl chpl_gpu_kernel_heat_line_147_ // -- Begin function chpl_gpu_kernel_heat_line_147_ +``` diff --git a/heat.chpl b/heat.chpl new file mode 100644 index 0000000..a907006 --- /dev/null +++ b/heat.chpl @@ -0,0 +1,191 @@ + +/* +** PROGRAM: heat equation solve +** +** PURPOSE: This program will explore use of an explicit +** finite difference method to solve the heat +** equation under a method of manufactured solution (MMS) +** scheme. The solution has been set to be a simple +** function based on exponentials and trig functions. +** +** A finite difference scheme is used on a 1000x1000 cube. +** A total of 0.5 units of time are simulated. +** +** The MMS solution has been adapted from +** G.W. Recktenwald (2011). Finite difference approximations +** to the Heat Equation. Portland State University. +** +** +** USAGE: Run with two arguments: +** First is the number of cells. +** Second is the number of timesteps. +** +** For example, with 100x100 cells and 10 steps: +** +** ./heat 100 10 +** +** +** This Chapel program is translated from a C version originally +** written by Tom Deakin, Oct 2018 +** +*/ + +use Time; +use Math; + +param LINE = "--------------------\n"; // A line for fancy output + +// Problem size, forms an nxn grid +config const n = 1000; +if n < 0 then halt("Error: n must be positive"); + +// Number of timesteps +config const nsteps = 10; +if nsteps < 0 then halt("Error: nsteps must be positive"); + +// Start the total program runtime timer +const start = timeSinceEpoch().totalSeconds(); + +// +// Set problem definition +// +param alpha = 0.1; // heat equation coefficient +param length = 1000.0; // physical size of domain: length x length square +const dx = length / (n+1); // physical size of each cell (+1 as don't simulate boundaries as they are given) +const dt = 0.5 / nsteps; // time interval (total time of 0.5s) + +// Stability requires that dt/(dx^2) <= 0.5, +const r = alpha * dt / (dx*dx); + +// Print message detailing runtime configuration +writef("\n"); +writef(" MMS heat equation\n\n"); +writef(LINE); +writef("Problem input\n\n"); +writef(" Grid size: %i x %i\n", n, n); +writef(" Cell width: %er\n", dx); +writef(" Grid length: %dr x %dr\n", length, length); +writef("\n"); +writef(" Alpha: %er\n", alpha); +writef("\n"); +writef(" Steps: %i\n", nsteps); +writef(" Total time: %er\n", dt*nsteps); +writef(" Time step: %er\n", dt); +writef(LINE); + +// Stability check +writef("Stability\n\n"); +writef(" r value: %dr\n", r); +if r > 0.5 then + writef(" Warning: unstable\n"); +writef(LINE); + +// Allocate two nxn grids +const outerDom: domain(2) = {0..#n, 0..#n}; +var arr1: [outerDom] real; +var arr2: [outerDom] real; +ref u = arr1; +ref u_tmp = arr2; + +// Set the initial value of the grid under the MMS scheme +initialValue(n, dx, length, u); + +// +// Run through timesteps under the explicit scheme +// + +// Start the solve timer +const tic = timeSinceEpoch().totalSeconds(); + +for 0..#nsteps { + // Call the solve kernel + // Computes u_tmp at the next timestep + // given the value of u at the current timestep + solve(n, alpha, dx, dt, u, u_tmp); + + // reference swap + u <=> u_tmp; +} + +// Stop solve timer +const toc = timeSinceEpoch().totalSeconds(); + +// +// Check the L2-norm of the computed solution +// against the *known* solution from the MMS scheme +// +const norm = l2Norm(n, u, nsteps, dt, alpha, dx, length); + +// Stop total timer +const stop = timeSinceEpoch().totalSeconds(); + +// Print results +writef("Results\n\n"); +writef("Error (L2norm): %er\n", norm); +writef("Solve time (s): %dr\n", toc-tic); +writef("Total time (s): %dr\n", stop-start); +writef(LINE); + +// Sets the mesh to an initial value, determined by the MMS scheme +proc initialValue(const n: int, const dx: real, const length: real, ref u: [?outerDom] real) { + var y = dx; // Physical y position + for j in 0..#n { + var x = dx; // Physical x position + for i in 0..#n { + u[i,j] = sin(Math.pi * x / length) * sin(Math.pi * y / length); + x += dx; + } + y += dx; + } +} + +// Compute the next timestep, given the current timestep +proc solve(const n: int, const alpha: real, const dx: real, const dt: real, const ref u: [?outerDom] real, ref u_tmp: [outerDom] real) { + // Finite difference constant multiplier + const r = alpha * dt / (dx*dx); + const r2 = 1.0 - 4.0*r; + + // Loop over the nxn grid + for (i,j) in outerDom { + // Update the 5-point stencil, using boundary conditions on the edges of the domain. + // Boundaries are zero because the MMS solution is zero there. + u_tmp[i,j] = r2 * u[i,j] + + r * (if i < n-1 then u[i+1,j] else 0.0) + + r * (if i > 0 then u[i-1,j] else 0.0) + + r * (if j < n-1 then u[i,j+1] else 0.0) + + r * (if j > 0 then u[i,j-1] else 0.0); + } +} + +// True answer given by the manufactured solution +proc solution(const t: real, const x: real, const y: real, const alpha: real, const length: real) { + return exp(-2.0*alpha*Math.pi*Math.pi*t/(length*length)) * sin(Math.pi*x/length) * sin(Math.pi*y/length); +} + +// Computes the L2-norm of the computed grid and the MMS known solution +// The known solution is the same as the boundary function. +proc l2Norm(const n: int, const ref u: [?outerDom] real, const nsteps: int, + const dt: real, const alpha: real, const dx: real, const length: real) { + + // Final (real) time simulated + const time = dt * nsteps; + + // L2-norm error + var l2norm = 0.0; + + // Loop over the grid and compute difference of computed and known solutions as an L2-norm + var y = dx; + for j in 0..#n { + var x = dx; + for i in 0..#n { + const answer = solution(time, x, y, alpha, length); + const err = u[i,j] - answer; + l2norm += err*err; + + x += dx; + } + y += dx; + } + + return sqrt(l2norm); +} diff --git a/job_heat_cpu.sh b/job_heat_cpu.sh new file mode 100644 index 0000000..2d479a3 --- /dev/null +++ b/job_heat_cpu.sh @@ -0,0 +1,10 @@ +#!/bin/bash + +#PBS -P vp91 +#PBS -q normal +#PBS -l ncpus=48 +#PBS -l mem=100GB +#PBS -l walltime=00:02:00 +#PBS -l wd + +./heat_cpu -sn=8000 -snsteps 20 diff --git a/job_heat_gpu.sh b/job_heat_gpu.sh new file mode 100644 index 0000000..5548165 --- /dev/null +++ b/job_heat_gpu.sh @@ -0,0 +1,13 @@ +#!/bin/bash + +#PBS -P vp91 +#PBS -q gpuvolta +#PBS -l ncpus=12 +#PBS -l ngpus=1 +#PBS -l mem=100GB +#PBS -l walltime=00:02:00 +#PBS -l wd + +module load cuda/12.3.2 + +./heat_gpu -sn=8000 -snsteps 20 diff --git a/job_pi_cpu.sh b/job_pi_cpu.sh new file mode 100644 index 0000000..8f038b5 --- /dev/null +++ b/job_pi_cpu.sh @@ -0,0 +1,10 @@ +#!/bin/bash + +#PBS -P vp91 +#PBS -q normal +#PBS -l ncpus=48 +#PBS -l mem=100GB +#PBS -l walltime=00:02:00 +#PBS -l wd + +./pi_cpu diff --git a/job_pi_gpu.sh b/job_pi_gpu.sh new file mode 100644 index 0000000..3620a89 --- /dev/null +++ b/job_pi_gpu.sh @@ -0,0 +1,13 @@ +#!/bin/bash + +#PBS -P vp91 +#PBS -q gpuvolta +#PBS -l ncpus=12 +#PBS -l ngpus=1 +#PBS -l mem=100GB +#PBS -l walltime=00:02:00 +#PBS -l wd + +module load cuda/12.3.2 + +./pi_gpu diff --git a/pi.chpl b/pi.chpl new file mode 100644 index 0000000..c5bc5f2 --- /dev/null +++ b/pi.chpl @@ -0,0 +1,28 @@ +/* +This program will numerically compute the integral of + + 4/(1+x*x) + +from 0 to 1. The value of this integral is pi -- which +is great since it gives us an easy way to check the answer. + +This Chapel program is translated from a C version originally +written by Tim Mattson, 11/99. +*/ + +use Time; + +config const num_steps = 100000000; + +const start_time = timeSinceEpoch().totalSeconds(); + +const step: real = 1.0 / num_steps; +var sum: real = 0.0; +for i in 1..#num_steps { + const x = (i - 0.5) * step; + sum = sum + 4.0 / (1.0 + x * x); +} + +const pi = step * sum; +const run_time = timeSinceEpoch().totalSeconds() - start_time; +writef("pi with %i steps is %dr in %dr seconds\n ", num_steps, pi, run_time); \ No newline at end of file diff --git a/solutions/Makefile b/solutions/Makefile new file mode 100644 index 0000000..dbda548 --- /dev/null +++ b/solutions/Makefile @@ -0,0 +1,25 @@ + +ifdef DEBUG +CHPL_FLAGS=-g --savec tmp +else +CHPL_FLAGS=--fast --savec tmp +endif + +all: pi_cpu pi_gpu heat_cpu heat_gpu + +pi_cpu: pi.chpl + CHPL_LOCALE_MODEL=flat chpl $(CHPL_FLAGS) $< -o $@ + +pi_gpu: pi.chpl + CHPL_LOCALE_MODEL=gpu CHPL_GPU=nvidia chpl $(CHPL_FLAGS) $< -o $@ + +heat_cpu: heat.chpl + CHPL_LOCALE_MODEL=flat chpl $(CHPL_FLAGS) $< -o $@ + +heat_gpu: heat.chpl + CHPL_LOCALE_MODEL=gpu CHPL_GPU=nvidia chpl $(CHPL_FLAGS) $< -o $@ + +.PHONY: clean + +clean: + rm pi_cpu pi_gpu heat_cpu heat_gpu diff --git a/solutions/heat.chpl b/solutions/heat.chpl new file mode 100644 index 0000000..c6a2842 --- /dev/null +++ b/solutions/heat.chpl @@ -0,0 +1,184 @@ + +/* +** PROGRAM: heat equation solve +** +** PURPOSE: This program will explore use of an explicit +** finite difference method to solve the heat +** equation under a method of manufactured solution (MMS) +** scheme. The solution has been set to be a simple +** function based on exponentials and trig functions. +** +** A finite difference scheme is used on a 1000x1000 cube. +** A total of 0.5 units of time are simulated. +** +** The MMS solution has been adapted from +** G.W. Recktenwald (2011). Finite difference approximations +** to the Heat Equation. Portland State University. +** +** +** USAGE: Run with two arguments: +** First is the number of cells. +** Second is the number of timesteps. +** +** For example, with 100x100 cells and 10 steps: +** +** ./heat 100 10 +** +** +** This Chapel program is translated from a C version originally +** written by Tom Deakin, Oct 2018 +** +*/ + +use Time; +use Math; +use ChplConfig; + +param LINE = "--------------------\n"; // A line for fancy output + +// Problem size, forms an nxn grid +config const n = 1000; +if n < 0 then halt("Error: n must be positive"); + +// Number of timesteps +config const nsteps = 10; +if nsteps < 0 then halt("Error: nsteps must be positive"); + +// Start the total program runtime timer +const start = timeSinceEpoch().totalSeconds(); + +// +// Set problem definition +// +param alpha = 0.1; // heat equation coefficient +param length = 1000.0; // physical size of domain: length x length square +const dx = length / (n+1); // physical size of each cell (+1 as don't simulate boundaries as they are given) +const dt = 0.5 / nsteps; // time interval (total time of 0.5s) + +// Stability requires that dt/(dx^2) <= 0.5, +const r = alpha * dt / (dx*dx); + +// Print message detailing runtime configuration +writef("\n"); +writef(" MMS heat equation\n\n"); +writef(LINE); +writef("Problem input\n\n"); +writef(" Grid size: %i x %i\n", n, n); +writef(" Cell width: %er\n", dx); +writef(" Grid length: %dr x %dr\n", length, length); +writef("\n"); +writef(" Alpha: %er\n", alpha); +writef("\n"); +writef(" Steps: %i\n", nsteps); +writef(" Total time: %er\n", dt*nsteps); +writef(" Time step: %er\n", dt); +writef(LINE); + +// Stability check +writef("Stability\n\n"); +writef(" r value: %dr\n", r); +if r > 0.5 then + writef(" Warning: unstable\n"); +writef(LINE); + +const targetLoc = if CHPL_LOCALE_MODEL == "gpu" then here.gpus[0] else here; + +// Allocate two nxn grids +const outerDom: domain(2) = {0..#n, 0..#n}; +var uHost: [outerDom] real; + +// Set the initial value of the grid under the MMS scheme +[(i,j) in outerDom] uHost[i,j] = sin(Math.pi * (dx*(i+1)) / length) * sin(Math.pi * (dx*(j+1)) / length); + +var tic: real; + +on targetLoc { + var arr1: [outerDom] real = uHost; + var arr2: [outerDom] real; + ref u = arr1; + ref u_tmp = arr2; + + // + // Run through timesteps under the explicit scheme + // + + // Start the solve timer + tic = timeSinceEpoch().totalSeconds(); + + for 0..#nsteps { + // Call the solve kernel + // Computes u_tmp at the next timestep + // given the value of u at the current timestep + solve(n, alpha, dx, dt, u, u_tmp); + + // reference swap + u <=> u_tmp; + } + + uHost = u; +} + +// Stop solve timer +const toc = timeSinceEpoch().totalSeconds(); + +// +// Check the L2-norm of the computed solution +// against the *known* solution from the MMS scheme +// +const norm = l2Norm(n, uHost, nsteps, dt, alpha, dx, length); + +// Stop total timer +const stop = timeSinceEpoch().totalSeconds(); + +// Print results +writef("Results\n\n"); +writef("Error (L2norm): %er\n", norm); +writef("Solve time (s): %dr\n", toc-tic); +writef("Total time (s): %dr\n", stop-start); +writef(LINE); + +// Compute the next timestep, given the current timestep +proc solve(const n: int, const alpha: real, const dx: real, const dt: real, const ref u: [?outerDom] real, ref u_tmp: [outerDom] real) { + // Finite difference constant multiplier + const r = alpha * dt / (dx*dx); + const r2 = 1.0 - 4.0*r; + + // Loop over the nxn grid + forall oneDIdx in 0..#outerDom.size { + const i = oneDIdx / n; + const j = oneDIdx % n; + // Update the 5-point stencil, using boundary conditions on the edges of the domain. + // Boundaries are zero because the MMS solution is zero there. + u_tmp[i,j] = r2 * u[i,j] + + r * (if i < n-1 then u[i+1,j] else 0.0) + + r * (if i > 0 then u[i-1,j] else 0.0) + + r * (if j < n-1 then u[i,j+1] else 0.0) + + r * (if j > 0 then u[i,j-1] else 0.0); + } +} + +// True answer given by the manufactured solution +proc solution(const t: real, const x: real, const y: real, const alpha: real, const length: real) { + return exp(-2.0*alpha*Math.pi*Math.pi*t/(length*length)) * sin(Math.pi*x/length) * sin(Math.pi*y/length); +} + +// Computes the L2-norm of the computed grid and the MMS known solution +// The known solution is the same as the boundary function. +proc l2Norm(const n: int, const ref u: [?outerDom] real, const nsteps: int, + const dt: real, const alpha: real, const dx: real, const length: real) { + + // Final (real) time simulated + const time = dt * nsteps; + + // L2-norm error + var l2norm = 0.0; + + // Loop over the grid and compute difference of computed and known solutions as an L2-norm + forall(i,j) in outerDom with (+ reduce l2norm) { + const answer = solution(time, (dx*(i+1)), (dx*(j+1)), alpha, length); + const err = u[i,j] - answer; + l2norm += err*err; + } + + return sqrt(l2norm); +} diff --git a/solutions/job_heat_cpu.sh b/solutions/job_heat_cpu.sh new file mode 100644 index 0000000..2d479a3 --- /dev/null +++ b/solutions/job_heat_cpu.sh @@ -0,0 +1,10 @@ +#!/bin/bash + +#PBS -P vp91 +#PBS -q normal +#PBS -l ncpus=48 +#PBS -l mem=100GB +#PBS -l walltime=00:02:00 +#PBS -l wd + +./heat_cpu -sn=8000 -snsteps 20 diff --git a/solutions/job_heat_gpu.sh b/solutions/job_heat_gpu.sh new file mode 100644 index 0000000..5548165 --- /dev/null +++ b/solutions/job_heat_gpu.sh @@ -0,0 +1,13 @@ +#!/bin/bash + +#PBS -P vp91 +#PBS -q gpuvolta +#PBS -l ncpus=12 +#PBS -l ngpus=1 +#PBS -l mem=100GB +#PBS -l walltime=00:02:00 +#PBS -l wd + +module load cuda/12.3.2 + +./heat_gpu -sn=8000 -snsteps 20 diff --git a/solutions/job_pi_cpu.sh b/solutions/job_pi_cpu.sh new file mode 100644 index 0000000..8f038b5 --- /dev/null +++ b/solutions/job_pi_cpu.sh @@ -0,0 +1,10 @@ +#!/bin/bash + +#PBS -P vp91 +#PBS -q normal +#PBS -l ncpus=48 +#PBS -l mem=100GB +#PBS -l walltime=00:02:00 +#PBS -l wd + +./pi_cpu diff --git a/solutions/job_pi_gpu.sh b/solutions/job_pi_gpu.sh new file mode 100644 index 0000000..95aeb0a --- /dev/null +++ b/solutions/job_pi_gpu.sh @@ -0,0 +1,13 @@ +#!/bin/bash + +#PBS -P vp91 +#PBS -q gpuvolta +#PBS -l ncpus=12 +#PBS -l ngpus=1 +#PBS -l mem=100GB +#PBS -l walltime=00:02:00 +#PBS -l wd + +module load cuda/12.3.2 + +nvprof ./pi_gpu diff --git a/solutions/pi.chpl b/solutions/pi.chpl new file mode 100644 index 0000000..7fd40c4 --- /dev/null +++ b/solutions/pi.chpl @@ -0,0 +1,33 @@ +/* +This program will numerically compute the integral of + + 4/(1+x*x) + +from 0 to 1. The value of this integral is pi -- which +is great since it gives us an easy way to check the answer. + +This Chapel program is translated from a C version originally +written by Tim Mattson, 11/99. +*/ + +use Time; +use ChplConfig; + +config const num_steps = 100000000; + +const start_time = timeSinceEpoch().totalSeconds(); + +const step: real = 1.0 / num_steps; +var sum: real = 0.0; +const targetLocs = if CHPL_LOCALE_MODEL == "gpu" then here.gpus else [here]; +coforall targetLoc in targetLocs with (+ reduce sum) do on targetLoc { + forall i in 1..#num_steps with (+ reduce sum) { + const x = (i - 0.5) * step; + sum = sum + 4.0 / (1.0 + x * x); + } +} +sum = sum / targetLocs.size; + +const pi = step * sum; +const run_time = timeSinceEpoch().totalSeconds() - start_time; +writef("pi with %i steps is %dr in %dr seconds\n ", num_steps, pi, run_time); \ No newline at end of file