mirror of
https://github.com/fverdugo/XM_40017.git
synced 2025-11-12 11:34:23 +01:00
Finish Todos in notebooks
This commit is contained in:
Gelieza K
parent
3de8ce76c9
commit
1c3062f249
@ -33,6 +33,38 @@
|
||||
"\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 5,
|
||||
"id": "1dc78750",
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"jacobi_2_check (generic function with 1 method)"
|
||||
]
|
||||
},
|
||||
"execution_count": 5,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"using Printf\n",
|
||||
"\n",
|
||||
"function answer_checker(answer,solution)\n",
|
||||
" if answer == solution\n",
|
||||
" \"🥳 Well done! \"\n",
|
||||
" else\n",
|
||||
" \"It's not correct. Keep trying! 💪\"\n",
|
||||
" end |> println\n",
|
||||
"end\n",
|
||||
"gauss_seidel_1_check(answer) = answer_checker(answer,\"c\")\n",
|
||||
"jacobi_1_check(answer) = answer_checker(answer, \"d\")\n",
|
||||
"jacobi_2_check(answer) = answer_checker(answer, \"b\")"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"id": "d4cb59d5",
|
||||
@ -207,12 +239,23 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"execution_count": 2,
|
||||
"id": "4edad93f",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"metadata": {
|
||||
"scrolled": true
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"It's not correct. Keep trying! 💪\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"#TODO answer (c)"
|
||||
"answer = \"x\" # replace x with a, b, c or d\n",
|
||||
"gauss_seidel_1_check(answer)"
|
||||
]
|
||||
},
|
||||
{
|
||||
@ -267,7 +310,7 @@
|
||||
"source": [
|
||||
"### Ghost (aka halo) cells\n",
|
||||
"\n",
|
||||
"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."
|
||||
"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."
|
||||
]
|
||||
},
|
||||
{
|
||||
@ -287,17 +330,31 @@
|
||||
"source": [
|
||||
"<div class=\"alert alert-block alert-success\">\n",
|
||||
"<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",
|
||||
"</div>"
|
||||
"</div>\n",
|
||||
"\n",
|
||||
" a) Communication: O(P), computation: O(N/P)\n",
|
||||
" b) Communication: O(1), computation: O(N)\n",
|
||||
" c) Communication: O(P), computation: O(N)\n",
|
||||
" d) Communication: O(1), computation: O(N/P)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"execution_count": 4,
|
||||
"id": "3a03fc4c",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"It's not correct. Keep trying! 💪\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"#TODO give multiple options"
|
||||
"answer = \"x\" # replace x with a, b, c or d\n",
|
||||
"jacobi_1_check(answer)"
|
||||
]
|
||||
},
|
||||
{
|
||||
@ -427,7 +484,9 @@
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"# TODO (b) 2 mesajes. Add another question if you find it useful"
|
||||
"answer = \"x\" # replace x with a, b, c or d\n",
|
||||
"jacobi_2_check(answer)\n",
|
||||
"# TODO: think of more questions"
|
||||
]
|
||||
},
|
||||
{
|
||||
@ -599,7 +658,7 @@
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"id": "7bd7057a",
|
||||
"id": "4fa7fad3",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
@ -660,7 +719,7 @@
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Julia 1.9.0",
|
||||
"display_name": "Julia 1.9.1",
|
||||
"language": "julia",
|
||||
"name": "julia-1.9"
|
||||
},
|
||||
@ -668,7 +727,7 @@
|
||||
"file_extension": ".jl",
|
||||
"mimetype": "application/julia",
|
||||
"name": "julia",
|
||||
"version": "1.9.0"
|
||||
"version": "1.9.1"
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
|
||||
@ -1120,7 +1120,7 @@
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Julia 1.9.0",
|
||||
"display_name": "Julia 1.9.1",
|
||||
"language": "julia",
|
||||
"name": "julia-1.9"
|
||||
},
|
||||
@ -1128,7 +1128,7 @@
|
||||
"file_extension": ".jl",
|
||||
"mimetype": "application/julia",
|
||||
"name": "julia",
|
||||
"version": "1.9.0"
|
||||
"version": "1.9.1"
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
|
||||
@ -1,60 +0,0 @@
|
||||
{
|
||||
"cells": [
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"id": "d6d12733",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"# Solution to Matrix Multiplication Exercises\n",
|
||||
"\n",
|
||||
"## Implementation of Algorithm 3"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"id": "be73e87a",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"function matmul_dist_3!(C,A,B)\n",
|
||||
" m = size(C,1)\n",
|
||||
" n = size(C,2)\n",
|
||||
" l = size(A,2)\n",
|
||||
" @assert size(A,1) == m\n",
|
||||
" @assert size(B,2) == n\n",
|
||||
" @assert size(B,1) == l\n",
|
||||
" @assert mod(m,nworkers()) == 0\n",
|
||||
" # Implement here\n",
|
||||
" nrows_w = div(m,nworkers())\n",
|
||||
" @sync for (i,w) in enumerate(workers())\n",
|
||||
" rows_w = (1:nrows_w) .+ (i-1)*nrows_w\n",
|
||||
" Aw = A[rows_w,:]\n",
|
||||
" ftr = @spawnat w begin\n",
|
||||
" Cw = similar(Aw,nrows_w,n)\n",
|
||||
" matmul_seq!(Cw,Aw,B)\n",
|
||||
" Cw\n",
|
||||
" end\n",
|
||||
" @async C[rows_w,:] = fetch(ftr)\n",
|
||||
" end\n",
|
||||
" C\n",
|
||||
"end"
|
||||
]
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Julia 1.9.1",
|
||||
"language": "julia",
|
||||
"name": "julia-1.9"
|
||||
},
|
||||
"language_info": {
|
||||
"file_extension": ".jl",
|
||||
"mimetype": "application/julia",
|
||||
"name": "julia",
|
||||
"version": "1.9.1"
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 5
|
||||
}
|
||||
129
notebooks/solutions.ipynb
Normal file
129
notebooks/solutions.ipynb
Normal file
@ -0,0 +1,129 @@
|
||||
{
|
||||
"cells": [
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"id": "d6d12733",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"# Solutions to Notebook Exercises\n",
|
||||
"\n",
|
||||
"## Matrix Multiplication : Implementation of Algorithm 3"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"id": "be73e87a",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"function matmul_dist_3!(C,A,B)\n",
|
||||
" m = size(C,1)\n",
|
||||
" n = size(C,2)\n",
|
||||
" l = size(A,2)\n",
|
||||
" @assert size(A,1) == m\n",
|
||||
" @assert size(B,2) == n\n",
|
||||
" @assert size(B,1) == l\n",
|
||||
" @assert mod(m,nworkers()) == 0\n",
|
||||
" # Implement here\n",
|
||||
" nrows_w = div(m,nworkers())\n",
|
||||
" @sync for (i,w) in enumerate(workers())\n",
|
||||
" rows_w = (1:nrows_w) .+ (i-1)*nrows_w\n",
|
||||
" Aw = A[rows_w,:]\n",
|
||||
" ftr = @spawnat w begin\n",
|
||||
" Cw = similar(Aw,nrows_w,n)\n",
|
||||
" matmul_seq!(Cw,Aw,B)\n",
|
||||
" Cw\n",
|
||||
" end\n",
|
||||
" @async C[rows_w,:] = fetch(ftr)\n",
|
||||
" end\n",
|
||||
" C\n",
|
||||
"end"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"id": "2d9f4813",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"## Jacobi Method : Exercise 1"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"id": "cf3b1e72",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"@everywhere workers() begin\n",
|
||||
" using MPI\n",
|
||||
" MPI.Initialized() || MPI.Init()\n",
|
||||
" comm = MPI.Comm_dup(MPI.COMM_WORLD)\n",
|
||||
" nw = MPI.Comm_size(comm)\n",
|
||||
" iw = MPI.Comm_rank(comm)+1\n",
|
||||
" function jacobi_mpi(n,niters)\n",
|
||||
" if mod(n,nw) != 0\n",
|
||||
" println(\"n must be a multiple of nw\")\n",
|
||||
" MPI.Abort(comm,1)\n",
|
||||
" end\n",
|
||||
" n_own = div(n,nw)\n",
|
||||
" u = zeros(n_own+2)\n",
|
||||
" u[1] = -1\n",
|
||||
" u[end] = 1\n",
|
||||
" u_new = copy(u)\n",
|
||||
" for t in 1:niters\n",
|
||||
" reqs_snd = MPI.Request[]\n",
|
||||
" reqs_rcv = MPI.Request[]\n",
|
||||
" if iw != 1\n",
|
||||
" neig_rank = (iw-1)-1\n",
|
||||
" req = MPI.Isend(view(u,2:2),comm,dest=neig_rank,tag=0)\n",
|
||||
" push!(reqs_snd,req)\n",
|
||||
" req = MPI.Irecv!(view(u,1:1),comm,source=neig_rank,tag=0)\n",
|
||||
" push!(reqs_rcv,req)\n",
|
||||
" end\n",
|
||||
" if iw != nw\n",
|
||||
" neig_rank = (iw+1)-1\n",
|
||||
" s = n_own-1\n",
|
||||
" r = n_own\n",
|
||||
" req = MPI.Isend(view(u,s:s),comm,dest=neig_rank,tag=0)\n",
|
||||
" push!(reqs_snd,req)\n",
|
||||
" req = MPI.Irecv!(view(u,r:r),comm,source=neig_rank,tag=0)\n",
|
||||
" push!(reqs_rcv,req)\n",
|
||||
" end\n",
|
||||
" for i in 3:n_own\n",
|
||||
" u_new[i] = 0.5*(u[i-1]+u[i+1])\n",
|
||||
" end\n",
|
||||
" MPI.Waitall(reqs_rcv)\n",
|
||||
" for i in (2,n_own+1)\n",
|
||||
" u_new[i] = 0.5*(u[i-1]+u[i+1])\n",
|
||||
" end\n",
|
||||
" MPI.Waitall(reqs_snd)\n",
|
||||
" u, u_new = u_new, u\n",
|
||||
" end\n",
|
||||
" u\n",
|
||||
" end\n",
|
||||
" niters = 100\n",
|
||||
" load = 4\n",
|
||||
" n = load*nw\n",
|
||||
" jacobi_mpi(n,niters)\n",
|
||||
"end"
|
||||
]
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Julia 1.9.1",
|
||||
"language": "julia",
|
||||
"name": "julia-1.9"
|
||||
},
|
||||
"language_info": {
|
||||
"file_extension": ".jl",
|
||||
"mimetype": "application/julia",
|
||||
"name": "julia",
|
||||
"version": "1.9.1"
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 5
|
||||
}
|
||||
Loading…
x
Reference in New Issue
Block a user