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[deps] | ||
JuliaFormatter = "98e50ef6-434e-11e9-1051-2b60c6c9e899" | ||
Polynomials = "f27b6e38-b328-58d1-80ce-0feddd5e7a45" |
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# -*- mode: just -*- | ||
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# FILE="file.jl" | ||
# https://stackoverflow.com/a/246128/12069968 | ||
# PDIR=$(cd -- "$(dirname -- "${BASH_SOURCE[0]}")" &> /dev/null && pwd) | ||
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# julia --project="$PDIR" "$FILE" | ||
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# Define project directory | ||
# | ||
# {Project, Manifest}.toml should exist in the root directory, as per | ||
# the justfile, so we should be able to use the justfile directory [1] | ||
# as the root project directory that Julia uses. | ||
# | ||
# [1]: https://just.systems/man/en/functions.html#justfile-and-justfile-directory | ||
project_dir := justfile_dir() + "/" | ||
test_dir := project_dir + "test/" | ||
test_file := test_dir + "runtests.jl" | ||
docs_dir := project_dir + "docs/" | ||
docs_mk_file := docs_dir + "make.jl" | ||
dev_dir := project_dir + "dev/" | ||
bench_file := dev_dir + "runbenchmarks.jl" | ||
standard_instantiate_code := """ | ||
import Pkg | ||
Pkg.instantiate() | ||
""" | ||
dev_instantiate_code := """ | ||
import Pkg | ||
Pkg.develop(PathSpec(path=pwd())) | ||
Pkg.instantiate() | ||
""" | ||
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# Test project | ||
test: | ||
julia --project={{project_dir}} {{test_file}} | ||
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# Run specified file | ||
run run_file: | ||
julia --project={{project_dir}} {{run_file}} | ||
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# Generate documentation | ||
[group: 'ci'] | ||
docs: (instantiate-dev docs_dir) | ||
julia --project={{docs_dir}} {{docs_mk_file}} | ||
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# Benchmark performance | ||
[group: 'ci'] | ||
perf: | ||
julia --project={{dev_dir}} {{bench_file}} | ||
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# check formatting | ||
[group: 'ci'] | ||
fmt: (instantiate-dev dev_dir) | ||
julia --project={{dev_dir}} -e 'using JuliaFormatter; format(".")' | ||
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# Instantiate main project | ||
instantiate: | ||
julia --project={{project_dir}} -e '{{standard_instantiate_code}}' | ||
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# Instantiate sub-project | ||
[private] | ||
instantiate-dev dev_project_dir: | ||
julia --project={{dev_project_dir}} -e '{{dev_instantiate_code}}' |
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using CodingTheory, BenchmarkTools, Polynomials | ||
import CodingTheory.deepsym, CodingTheory.displaymatrix | ||
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function BM() | ||
hamming_distance("ABC", "DBC") == 1 | ||
hamming_distance("ABC", "DEF") == 3 | ||
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hamming_ball([[1, 0, 1], [0, 1, 1], [1, 0, 0]], [1, 0, 0], 2) == deepsym([[1, 0, 1], [1, 0, 0]]) | ||
hamming_ball(list_span([2, 2, 2], [1, 2, 0], [0, 2, 1], 3), [1, 0, 0], 3) == deepsym([[0, 0, 0], [0, 2, 1], [0, 1, 2], [1, 2, 0], [1, 1, 1], [1, 0, 2], [2, 1, 0], [2, 0, 1], [2, 2, 2]]) | ||
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rate(3, 5, 4) ≈ 0.3662433802 | ||
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t_error_correcting([[0, 0, 0, 0], [2, 2, 2, 2]], 1) == true | ||
t_error_correcting([[1, 0, 1], [0, 1, 1], [1, 0, 0], [1, 1, 1]], 3) == false | ||
t_error_detecting([[1, 0, 1], [0, 1, 1], [1, 0, 0], [1, 1, 1]], 3) == false | ||
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find_error_detection_max([[0, 0, 0, 0], [0, 1, 1, 1], [1, 0, 1, 0], [1, 1, 0, 1]], 2) == 1 | ||
find_error_correction_max([[0, 0, 0, 0], [0, 1, 1, 1], [1, 0, 1, 0], [1, 1, 0, 1]], 2) == 0 | ||
find_error_correction_max(list_span([1, 0, 1, 0], [0, 1, 1, 1], 2), 2) == 0 | ||
find_error_detection_max(list_span([1, 0, 1, 0], [0, 1, 1, 1], 2), 2) == 1 | ||
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Polynomial([1, 2, 3, 4, 5, 6, 7, 8, 9], 3) == Polynomial([1, 2, 0, 1, 2, 0, 1, 2]) | ||
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isirreducible(Polynomial([1, 1, 0, 0, 1]), 2) == true | ||
isirreducible(Polynomial([1, 1, 1, 0, 1, 1]), 2) == true | ||
isirreducible(Polynomial([4, 4, 1]), 2) == false | ||
isirreducible(Polynomial([1, 0, 1]), 2) == false | ||
isirreducible(Polynomial([-2, 0, 1]), 2) == false | ||
isirreducible(Polynomial([1, 1]), 2) == false | ||
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p = Polynomial([1, 1, 2, 0, 1, 2, 1]) | ||
q = Polynomial([2, 1, 1]) | ||
a = Polynomial([0, 1, 0, 1, 0, 0, 1]) | ||
b = Polynomial([1, 0, 1]) | ||
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mod(rem(p, q), 3) == Polynomial([1, 1]) | ||
mod(rem(a, b), 2) == Polynomial([1]) | ||
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rref([1 0 1 1 1; 1 1 1 0 1; 0 1 1 1 1], 2) == [1 0 0 1 0; 0 1 0 1 0; 0 0 1 0 1] | ||
rref([1 0 1 0 1 0; 0 1 0 0 1 0; 1 1 1 1 1 1], 2) == [1 0 1 0 1 0; 0 1 0 0 1 0; 0 0 0 1 1 1] | ||
rref([1 1 0 2 3 1; 2 0 1 3 4 1; 1 2 2 1 4 3], 5, colswap=false) == [1 0 3 0 2 2; 0 1 2 0 1 1; 0 0 0 1 0 4] | ||
rref([1 1 0 2 3 1; 2 0 1 3 4 1; 1 2 2 1 4 3], 5, colswap=true) == [1 0 0 3 2 2; 0 1 0 2 1 1; 0 0 1 0 0 4] | ||
rref([1 2 0 1 2 1 2; 2 2 2 0 1 1 1; 1 0 1 1 2 1 2; 0 1 0 1 1 2 2], 3) == [1 0 0 0 2 2 2; 0 1 0 0 2 0 1; 0 0 1 0 1 0 2; 0 0 0 1 2 2 1] | ||
rref([0 0 0 0 0; 1 0 1 0 1; 0 1 0 1 1; 1 1 1 1 0], 2) == [1 0 1 0 1; 0 1 0 1 1; 0 0 0 0 0; 0 0 0 0 0] | ||
rref([1 1 1 0; 1 1 0 1; 0 0 1 1], 2) == [1 1 0 1; 0 0 1 1; 0 0 0 0] | ||
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multiplication_table(2, 3) == Polynomial[Polynomial([0]) Polynomial([0]) Polynomial([0]) Polynomial([0]) Polynomial([0]) Polynomial([0]) Polynomial([0]) Polynomial([0]) Polynomial([0]); Polynomial([0]) Polynomial([1]) Polynomial([2]) Polynomial([0, 1]) Polynomial([1, 1]) Polynomial([2, 1]) Polynomial([0, 2]) Polynomial([1, 2]) Polynomial([2, 2]); Polynomial([0]) Polynomial([2]) Polynomial([1]) Polynomial([0, 2]) Polynomial([2, 2]) Polynomial([1, 2]) Polynomial([0, 1]) Polynomial([2, 1]) Polynomial([1, 1]); Polynomial([0]) Polynomial([0, 1]) Polynomial([0, 2]) Polynomial([0, 0, 1]) Polynomial([0, 1, 1]) Polynomial([0, 2, 1]) Polynomial([0, 0, 2]) Polynomial([0, 1, 2]) Polynomial([0, 2, 2]); Polynomial([0]) Polynomial([1, 1]) Polynomial([2, 2]) Polynomial([0, 1, 1]) Polynomial([1, 2, 1]) Polynomial([2, 0, 1]) Polynomial([0, 2, 2]) Polynomial([1, 0, 2]) Polynomial([2, 1, 2]); Polynomial([0]) Polynomial([2, 1]) Polynomial([1, 2]) Polynomial([0, 2, 1]) Polynomial([2, 0, 1]) Polynomial([1, 1, 1]) Polynomial([0, 1, 2]) Polynomial([2, 2, 2]) Polynomial([1, 0, 2]); Polynomial([0]) Polynomial([0, 2]) Polynomial([0, 1]) Polynomial([0, 0, 2]) Polynomial([0, 2, 2]) Polynomial([0, 1, 2]) Polynomial([0, 0, 1]) Polynomial([0, 2, 1]) Polynomial([0, 1, 1]); Polynomial([0]) Polynomial([1, 2]) Polynomial([2, 1]) Polynomial([0, 1, 2]) Polynomial([1, 0, 2]) Polynomial([2, 2, 2]) Polynomial([0, 2, 1]) Polynomial([1, 1, 1]) Polynomial([2, 0, 1]); Polynomial([0]) Polynomial([2, 2]) Polynomial([1, 1]) Polynomial([0, 2, 2]) Polynomial([2, 1, 2]) Polynomial([1, 0, 2]) Polynomial([0, 1, 1]) Polynomial([2, 0, 1]) Polynomial([1, 2, 1])] | ||
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list_span([2, 1, 1], [1, 1, 1], 3) == [[0, 0, 0], [1, 1, 1], [2, 2, 2], [2, 1, 1], [0, 2, 2], [1, 0, 0], [1, 2, 2], [2, 0, 0], [0, 1, 1]] | ||
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islinear([[0,0,0],[1,1,1],[1,0,1],[1,1,0]], 2) == false | ||
islinear([[0,0,0],[1,1,1],[1,0,1],[0,1,0]], 2) == true | ||
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code_distance([[0,0,0,0,0],[1,0,1,0,1],[0,1,0,1,0],[1,1,1,1,1]]) == 2 | ||
code_distance([[0,0,0,0,0],[1,1,1,0,0],[0,0,0,1,1],[1,1,1,1,1],[1,0,0,1,1],[0,1,1,0,0]]) == 1 | ||
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Alphabet("123") == deepsym([1, 2, 3]) | ||
Alphabet([1, 2, 3]) == deepsym([1, 2, 3]) | ||
Alphabet(["1", "2", "3"]) == deepsym([1, 2, 3]) | ||
# TODO: write test for CodeUniverse struct | ||
[i for i in CodeUniverseIterator(["a", "b", "c"], 3)] == get_all_words(["a", "b", "c"], 3) # implicitly tests CodeUniverseIterator | ||
collect(CodeUniverseIterator(["a", "b", "c"], 4)) == Tuple[(:a, :a, :a, :a), (:b, :a, :a, :a), (:c, :a, :a, :a), (:a, :b, :a, :a), (:b, :b, :a, :a), (:c, :b, :a, :a), (:a, :c, :a, :a), (:b, :c, :a, :a), (:c, :c, :a, :a), (:a, :a, :b, :a), (:b, :a, :b, :a), (:c, :a, :b, :a), (:a, :b, :b, :a), (:b, :b, :b, :a), (:c, :b, :b, :a), (:a, :c, :b, :a), (:b, :c, :b, :a), (:c, :c, :b, :a), (:a, :a, :c, :a), (:b, :a, :c, :a), (:c, :a, :c, :a), (:a, :b, :c, :a), (:b, :b, :c, :a), (:c, :b, :c, :a), (:a, :c, :c, :a), (:b, :c, :c, :a), (:c, :c, :c, :a), (:a, :a, :a, :b), (:b, :a, :a, :b), (:c, :a, :a, :b), (:a, :b, :a, :b), (:b, :b, :a, :b), (:c, :b, :a, :b), (:a, :c, :a, :b), (:b, :c, :a, :b), (:c, :c, :a, :b), (:a, :a, :b, :b), (:b, :a, :b, :b), (:c, :a, :b, :b), (:a, :b, :b, :b), (:b, :b, :b, :b), (:c, :b, :b, :b), (:a, :c, :b, :b), (:b, :c, :b, :b), (:c, :c, :b, :b), (:a, :a, :c, :b), (:b, :a, :c, :b), (:c, :a, :c, :b), (:a, :b, :c, :b), (:b, :b, :c, :b), (:c, :b, :c, :b), (:a, :c, :c, :b), (:b, :c, :c, :b), (:c, :c, :c, :b), (:a, :a, :a, :c), (:b, :a, :a, :c), (:c, :a, :a, :c), (:a, :b, :a, :c), (:b, :b, :a, :c), (:c, :b, :a, :c), (:a, :c, :a, :c), (:b, :c, :a, :c), (:c, :c, :a, :c), (:a, :a, :b, :c), (:b, :a, :b, :c), (:c, :a, :b, :c), (:a, :b, :b, :c), (:b, :b, :b, :c), (:c, :b, :b, :c), (:a, :c, :b, :c), (:b, :c, :b, :c), (:c, :c, :b, :c), (:a, :a, :c, :c), (:b, :a, :c, :c), (:c, :a, :c, :c), (:a, :b, :c, :c), (:b, :b, :c, :c), (:c, :b, :c, :c), (:a, :c, :c, :c), (:b, :c, :c, :c), (:c, :c, :c, :c)] | ||
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sphere_covering_bound(5,7,3) == 215 | ||
sphere_packing_bound(5,7,3) == 2693 | ||
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construct_ham_matrix(3,2) == [0 0 0 1 1 1 1; 0 1 1 0 0 1 1; 1 0 1 0 1 0 1] | ||
construct_ham_matrix(3,3) == [0 0 0 0 0 0 0 0 1 1 1 1 1; 0 0 1 1 1 2 2 2 0 0 0 1 1; 1 2 0 1 2 0 1 2 0 1 2 0 1] | ||
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isperfect(11, 6, 5, 3) == true | ||
isperfect(23, 12, 7, 2) == true | ||
isperfect(23, 12, 7, 3) == false | ||
isperfect(11, 6, 5, 4) == false | ||
isgolayperfect(11, 6, 5, 3) == true | ||
isgolayperfect(23, 12, 7, 2) == true | ||
isgolayperfect(23, 12, 7, 3) == false | ||
isgolayperfect(11, 6, 5, 4) == false | ||
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length(get_codewords(5, 5, 3)) ∈ [74:74...] | ||
length(get_codewords(4, 7, 3; m = 1)) ∈ [256:308...] | ||
length(get_codewords_greedy(5, 5, 3)) == 74 | ||
randq, randn = rand(1:8, 2) | ||
length(get_all_words(randq, randn)) == big(randq)^randn | ||
get_codewords([1 0 1 0; 0 1 1 1], 2) == [[0, 0, 0, 0], [1, 0, 1, 0], [0, 1, 1, 1], [1, 1, 0, 1]] | ||
get_codewords([1 0 0 1 1 0; 0 1 0 1 0 1; 0 0 1 0 1 1], 2) == [[0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 0], [0, 1, 0, 1, 0, 1], [1, 1, 0, 0, 1, 1], [0, 0, 1, 0, 1, 1], [1, 0, 1, 1, 0, 1], [0, 1, 1, 1, 1, 0], [1, 1, 1, 0, 0, 0]] | ||
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syndrome([0, 2, 1, 2, 0, 1, 0], transpose(parity_check([1 0 0 0 2 2 2; 0 1 0 0 2 0 1; 0 0 1 0 1 0 2; 0 0 0 1 2 2 1], 3)), 3) == [0 0 0] | ||
parity_check([1 0 0 0 2 2 2; 0 1 0 0 2 0 1; 0 0 1 0 1 0 2; 0 0 0 1 2 2 1], 3) == [1 1 2 1 1 0 0; 1 0 0 1 0 1 0; 1 2 1 2 0 0 1] | ||
normal_form([1 2 0 1 2 1 2; 2 2 2 0 1 1 1; 1 0 1 1 2 1 2; 0 1 0 1 1 2 2], 3) == [1 0 0 0 2 2 2; 0 1 0 0 2 0 1; 0 0 1 0 1 0 2; 0 0 0 1 2 2 1] | ||
equivalent_code([1 2 0 1 2 1 2; 2 2 2 0 1 1 1; 1 0 1 1 2 1 2; 0 1 0 1 1 2 2], 3) == [1 0 0 0 2 2 2; 0 1 0 0 2 0 1; 0 0 1 0 1 0 2; 0 0 0 1 2 2 1] | ||
parity_check(normal_form([1 2 0 1 2 1 2; 2 2 2 0 1 1 1; 1 0 1 1 2 1 2; 0 1 0 1 1 2 2], 3), 3) == [1 1 2 1 1 0 0; 1 0 0 1 0 1 0; 1 2 1 2 0 0 1] | ||
isincode([0, 2, 1, 2, 0, 1, 0], transpose(parity_check([1 0 0 0 2 2 2; 0 1 0 0 2 0 1; 0 0 1 0 1 0 2; 0 0 0 1 2 2 1], 3)), 3) == true | ||
isincode([1, 0, 2, 2, 1, 2, 1], transpose(parity_check([1 0 0 0 2 2 2; 0 1 0 0 2 0 1; 0 0 1 0 1 0 2; 0 0 0 1 2 2 1], 3)), 3) == false | ||
end # end runtests | ||
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@btime BM() |
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