mirror of
https://github.com/fverdugo/XM_40017.git
synced 2025-11-12 09:44:24 +01:00
Finish Todos in notebooks
This commit is contained in:
Gelieza K
parent
3de8ce76c9
commit
1c3062f249
@ -33,6 +33,38 @@
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"\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"id": "1dc78750",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"jacobi_2_check (generic function with 1 method)"
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]
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},
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"execution_count": 5,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"using Printf\n",
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"\n",
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"function answer_checker(answer,solution)\n",
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" if answer == solution\n",
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" \"🥳 Well done! \"\n",
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" else\n",
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" \"It's not correct. Keep trying! 💪\"\n",
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" end |> println\n",
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"end\n",
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"gauss_seidel_1_check(answer) = answer_checker(answer,\"c\")\n",
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"jacobi_1_check(answer) = answer_checker(answer, \"d\")\n",
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"jacobi_2_check(answer) = answer_checker(answer, \"b\")"
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]
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},
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{
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"cell_type": "markdown",
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"id": "d4cb59d5",
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@ -207,12 +239,23 @@
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"execution_count": 2,
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"id": "4edad93f",
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"metadata": {},
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"outputs": [],
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"metadata": {
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"scrolled": true
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"It's not correct. Keep trying! 💪\n"
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]
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}
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],
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"source": [
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"#TODO answer (c)"
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"answer = \"x\" # replace x with a, b, c or d\n",
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"gauss_seidel_1_check(answer)"
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]
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},
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{
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@ -267,7 +310,7 @@
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"source": [
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"### Ghost (aka halo) cells\n",
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"\n",
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"A usual way of handling this type of data dependencies is using so-called ghost cells. Ghost cells represent the missing data dependencies in the data owned by each process. After importing the appropriate values from the neighbor processes one can perform the usual sequential jacoby update locally in the processes."
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"A usual way of handling this type of data dependencies is using so-called ghost cells. Ghost cells represent the missing data dependencies in the data owned by each process. After importing the appropriate values from the neighbor processes one can perform the usual sequential Jacobi update locally in the processes."
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]
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},
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{
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@ -287,17 +330,31 @@
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"source": [
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"<div class=\"alert alert-block alert-success\">\n",
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"<b>Question:</b> Which is the communication and computation complexity in each process? N is the length of the vector and P the number of processes. \n",
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"</div>"
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"</div>\n",
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"\n",
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" a) Communication: O(P), computation: O(N/P)\n",
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" b) Communication: O(1), computation: O(N)\n",
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" c) Communication: O(P), computation: O(N)\n",
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" d) Communication: O(1), computation: O(N/P)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"execution_count": 4,
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"id": "3a03fc4c",
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"metadata": {},
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"outputs": [],
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"It's not correct. Keep trying! 💪\n"
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]
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}
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],
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"source": [
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"#TODO give multiple options"
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"answer = \"x\" # replace x with a, b, c or d\n",
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"jacobi_1_check(answer)"
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]
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},
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{
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@ -427,7 +484,9 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"# TODO (b) 2 mesajes. Add another question if you find it useful"
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"answer = \"x\" # replace x with a, b, c or d\n",
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"jacobi_2_check(answer)\n",
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"# TODO: think of more questions"
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]
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},
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{
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@ -599,7 +658,7 @@
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "7bd7057a",
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"id": "4fa7fad3",
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"metadata": {},
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"outputs": [],
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"source": [
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@ -660,7 +719,7 @@
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Julia 1.9.0",
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"display_name": "Julia 1.9.1",
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"language": "julia",
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"name": "julia-1.9"
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},
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@ -668,7 +727,7 @@
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"file_extension": ".jl",
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"mimetype": "application/julia",
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"name": "julia",
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"version": "1.9.0"
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"version": "1.9.1"
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}
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},
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"nbformat": 4,
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@ -1120,7 +1120,7 @@
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Julia 1.9.0",
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"display_name": "Julia 1.9.1",
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"language": "julia",
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"name": "julia-1.9"
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},
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@ -1128,7 +1128,7 @@
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"file_extension": ".jl",
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"mimetype": "application/julia",
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"name": "julia",
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"version": "1.9.0"
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"version": "1.9.1"
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}
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},
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"nbformat": 4,
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@ -1,60 +0,0 @@
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{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "d6d12733",
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"metadata": {},
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"source": [
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"# Solution to Matrix Multiplication Exercises\n",
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"\n",
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"## Implementation of Algorithm 3"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "be73e87a",
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"metadata": {},
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"outputs": [],
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"source": [
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"function matmul_dist_3!(C,A,B)\n",
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" m = size(C,1)\n",
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" n = size(C,2)\n",
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" l = size(A,2)\n",
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" @assert size(A,1) == m\n",
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" @assert size(B,2) == n\n",
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" @assert size(B,1) == l\n",
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" @assert mod(m,nworkers()) == 0\n",
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" # Implement here\n",
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" nrows_w = div(m,nworkers())\n",
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" @sync for (i,w) in enumerate(workers())\n",
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" rows_w = (1:nrows_w) .+ (i-1)*nrows_w\n",
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" Aw = A[rows_w,:]\n",
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" ftr = @spawnat w begin\n",
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" Cw = similar(Aw,nrows_w,n)\n",
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" matmul_seq!(Cw,Aw,B)\n",
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" Cw\n",
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" end\n",
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" @async C[rows_w,:] = fetch(ftr)\n",
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" end\n",
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" C\n",
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"end"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Julia 1.9.1",
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"language": "julia",
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"name": "julia-1.9"
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},
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"language_info": {
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"file_extension": ".jl",
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"mimetype": "application/julia",
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"name": "julia",
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"version": "1.9.1"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 5
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}
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129
notebooks/solutions.ipynb
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129
notebooks/solutions.ipynb
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@ -0,0 +1,129 @@
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{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "d6d12733",
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"metadata": {},
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"source": [
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"# Solutions to Notebook Exercises\n",
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"\n",
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"## Matrix Multiplication : Implementation of Algorithm 3"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "be73e87a",
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"metadata": {},
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"outputs": [],
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"source": [
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"function matmul_dist_3!(C,A,B)\n",
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" m = size(C,1)\n",
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" n = size(C,2)\n",
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" l = size(A,2)\n",
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" @assert size(A,1) == m\n",
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" @assert size(B,2) == n\n",
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" @assert size(B,1) == l\n",
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" @assert mod(m,nworkers()) == 0\n",
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" # Implement here\n",
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" nrows_w = div(m,nworkers())\n",
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" @sync for (i,w) in enumerate(workers())\n",
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" rows_w = (1:nrows_w) .+ (i-1)*nrows_w\n",
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" Aw = A[rows_w,:]\n",
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" ftr = @spawnat w begin\n",
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" Cw = similar(Aw,nrows_w,n)\n",
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" matmul_seq!(Cw,Aw,B)\n",
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" Cw\n",
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" end\n",
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" @async C[rows_w,:] = fetch(ftr)\n",
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" end\n",
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" C\n",
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"end"
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]
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},
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{
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"cell_type": "markdown",
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"id": "2d9f4813",
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"metadata": {},
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"source": [
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"## Jacobi Method : Exercise 1"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "cf3b1e72",
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"metadata": {},
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"outputs": [],
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"source": [
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"@everywhere workers() begin\n",
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" using MPI\n",
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" MPI.Initialized() || MPI.Init()\n",
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" comm = MPI.Comm_dup(MPI.COMM_WORLD)\n",
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" nw = MPI.Comm_size(comm)\n",
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" iw = MPI.Comm_rank(comm)+1\n",
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" function jacobi_mpi(n,niters)\n",
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" if mod(n,nw) != 0\n",
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" println(\"n must be a multiple of nw\")\n",
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" MPI.Abort(comm,1)\n",
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" end\n",
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" n_own = div(n,nw)\n",
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" u = zeros(n_own+2)\n",
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" u[1] = -1\n",
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" u[end] = 1\n",
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" u_new = copy(u)\n",
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" for t in 1:niters\n",
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" reqs_snd = MPI.Request[]\n",
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" reqs_rcv = MPI.Request[]\n",
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" if iw != 1\n",
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" neig_rank = (iw-1)-1\n",
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" req = MPI.Isend(view(u,2:2),comm,dest=neig_rank,tag=0)\n",
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" push!(reqs_snd,req)\n",
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" req = MPI.Irecv!(view(u,1:1),comm,source=neig_rank,tag=0)\n",
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" push!(reqs_rcv,req)\n",
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" end\n",
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" if iw != nw\n",
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" neig_rank = (iw+1)-1\n",
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" s = n_own-1\n",
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" r = n_own\n",
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" req = MPI.Isend(view(u,s:s),comm,dest=neig_rank,tag=0)\n",
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" push!(reqs_snd,req)\n",
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" req = MPI.Irecv!(view(u,r:r),comm,source=neig_rank,tag=0)\n",
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" push!(reqs_rcv,req)\n",
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" end\n",
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" for i in 3:n_own\n",
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" u_new[i] = 0.5*(u[i-1]+u[i+1])\n",
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" end\n",
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" MPI.Waitall(reqs_rcv)\n",
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" for i in (2,n_own+1)\n",
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" u_new[i] = 0.5*(u[i-1]+u[i+1])\n",
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" end\n",
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" MPI.Waitall(reqs_snd)\n",
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" u, u_new = u_new, u\n",
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" end\n",
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" u\n",
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" end\n",
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" niters = 100\n",
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" load = 4\n",
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" n = load*nw\n",
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" jacobi_mpi(n,niters)\n",
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"end"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Julia 1.9.1",
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"language": "julia",
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"name": "julia-1.9"
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},
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"language_info": {
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"file_extension": ".jl",
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"mimetype": "application/julia",
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"name": "julia",
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"version": "1.9.1"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 5
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}
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