From 5e599e41bcabf6aa65f17c7f87eb1c7e91dae1a6 Mon Sep 17 00:00:00 2001 From: Isaac Shoebottom Date: Tue, 21 Jan 2025 19:56:16 -0400 Subject: [PATCH] Add lab 1 --- Labs/1/1.jl | 59 +++++++++++++++++++++++++++++++++++++++++++++++++++ Labs/1/1.odt | Bin 0 -> 92689 bytes Labs/1/1.pdf | Bin 0 -> 67379 bytes Labs/1/1.png | Bin 0 -> 77150 bytes 4 files changed, 59 insertions(+) create mode 100644 Labs/1/1.jl create mode 100644 Labs/1/1.odt create mode 100644 Labs/1/1.pdf create mode 100644 Labs/1/1.png diff --git a/Labs/1/1.jl b/Labs/1/1.jl new file mode 100644 index 0000000..92314c5 --- /dev/null +++ b/Labs/1/1.jl @@ -0,0 +1,59 @@ +# This function the most simple manual way of doing matrix multiplication without builtins +# It does not take into account multithreading or any acceleration +# It does however use the least amount of memory, only allocating new memory for the sum and the results matrix +function for_loop(a, b) + n = size(a, 1) + m = size(b, 1) + if (size(a, 2) != m) + println("Matrixes not of multipliable sizes") + end + p = size(b, 2) + + c = Matrix{Int}(undef, n, p) + + for i in 1:n + for j in 1:p + sum = 0 + for k in 1:m + a1 = a[i, k] + b1 = b[k, j] + sum = sum + (a1 * b1) + end + c[i, j] = sum + end + end + c +end + +# This function is very easy as a programmer to use, as it is builtin and uses OpenBLAS, which has more advanced algorithms for doing matrix multiplication +# However, it fails under a few scenarios, where you are memory bound doing a lot of multiplications on low dimension matrixes +# as it uses much more memory even for a simple 5x5 matrix than the for loop, presumably due to allocation costs and setup/error checking +function built_in(a, b) + a * b +end + +# In terms of speed, the for loop loses in pretty much every scenario, but wins initially in terms of memory usage, but as the +# matrixes begin to scale dimensions into hundreds or thousands, the builtin becomes much closer in terms of memory usage +function main() + matrix_regex = r"(\d+)x(\d+)" + + println("Format is {num}x{num}. Eg: 3x3 or 100x100") + + print("Dimension of first matrix: ") + input = readline() + matrix_match = match(matrix_regex, input) + matrix_1 = rand(Int, (parse(Int, matrix_match[1]), parse(Int, matrix_match[2]))) + + print("Dimension of second matrix: ") + input = readline() + matrix_match = match(matrix_regex, input) + matrix_2 = rand(Int, (parse(Int, matrix_match[1]), parse(Int, matrix_match[2]))) + + println("For loop") + @time for_loop(matrix_1, matrix_2) + + println("Builtin") + @time built_in(matrix_1, matrix_2) +end + +main() \ No newline at end of file diff --git a/Labs/1/1.odt b/Labs/1/1.odt new file mode 100644 index 0000000000000000000000000000000000000000..3a484903d92ba1d765da54c23a6e6b6bef931992 GIT binary patch literal 92689 zcmdSAV~{0LurAs?Gi}?pZB5&@ZTD{5wx(^{wr$Kz+qV7ooO{oWxG&B-FK)#9^D3fZ zRjsI1D|4;P{Jz|kTS5B!4^$8kNDz>lL^dtG5oTBl5D<`mC$I~|*3#D0*~7uq(80mR z(%8`1(%z22)y{<8-Vk63ptpB0wKK6dcCj_JbEbDTb$3?y-(ChB|Gy4Q;FYkwotdS% 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