From ce9f4591847c6bd2dc6ebaa30fc5d72714e0280c Mon Sep 17 00:00:00 2001 From: Nunigan Date: Tue, 10 Aug 2021 06:37:20 +0200 Subject: new measurements --- buch/papers/multiplikation/images/algo_tab.pdf | Bin 0 -> 34251 bytes buch/papers/multiplikation/images/algo_tab.tex | 122 +++++++++++++++++++++++++ buch/papers/multiplikation/images/meas_c.pdf | Bin 23161 -> 23552 bytes buch/papers/multiplikation/images/meas_c.tex | 9 +- 4 files changed, 129 insertions(+), 2 deletions(-) create mode 100644 buch/papers/multiplikation/images/algo_tab.pdf create mode 100644 buch/papers/multiplikation/images/algo_tab.tex (limited to 'buch/papers/multiplikation/images') diff --git a/buch/papers/multiplikation/images/algo_tab.pdf b/buch/papers/multiplikation/images/algo_tab.pdf new file mode 100644 index 0000000..7f2bb4f Binary files /dev/null and b/buch/papers/multiplikation/images/algo_tab.pdf differ diff --git a/buch/papers/multiplikation/images/algo_tab.tex b/buch/papers/multiplikation/images/algo_tab.tex new file mode 100644 index 0000000..50ce392 --- /dev/null +++ b/buch/papers/multiplikation/images/algo_tab.tex @@ -0,0 +1,122 @@ +\documentclass{article} +\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{times} +\usepackage{geometry} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{algorithm} +\usepackage{algpseudocode} +\usepackage{mathrsfs} +\usepackage{amsfonts} +\usepackage{amsthm} +\usepackage{lipsum} +\usepackage{amscd} +\usepackage{graphicx} +\usepackage{fancyhdr} +\usepackage{textcomp} +\usepackage{pgfplots} +\usepackage{txfonts} +\usepackage[all]{xy} +\usepackage{paralist} +\usepackage[colorlinks=true]{hyperref} +\usepackage{array} +\usepackage{tikz} +\usepackage{slashed} +\usepackage{pdfpages} +\usepackage{multicol} +\usepackage{cite} +\usepackage{url} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{tikz} +\usetikzlibrary{arrows,matrix,positioning} +\usetikzlibrary{overlay-beamer-styles} +\usetikzlibrary{matrix.skeleton} +\usetikzlibrary{automata,positioning} +\usetikzlibrary{decorations.text} +\usepackage{listings} +\usepackage{multirow} +\usepackage{color} + +\begin{document} + + + +\begin{table}[t] + \begin{tabular}{ll} + \begin{minipage}{0.4\textwidth} + \begin{algorithm}[H]\footnotesize\caption{} + \label{multiplikation:alg:b1} + \setlength{\lineskip}{7pt} + \begin{algorithmic} + \Function{B1}{$a, b$} + \State \textbf{return} $a+b$ + \EndFunction + \State + \State + \end{algorithmic} + \end{algorithm} + \end{minipage} + & + \begin{minipage}{0.4\textwidth} + \begin{algorithm}[H]\footnotesize\caption{} + \label{multiplikation:alg:b2} + \setlength{\lineskip}{7pt} + \begin{algorithmic} + \Function{B2}{$a, b$} + \State $ x \gets a+b $ + \State $ y \gets a \cdot b $ + \State \textbf{return} $x+y$ + \EndFunction + \end{algorithmic} +\end{algorithm} + + \end{minipage} + \end{tabular} +\end{table} + +\begin{table} + \begin{tabular}[t]{ll} + \begin{minipage}{0.4\textwidth} + \begin{algorithm}[H]\footnotesize\caption{} + \setlength{\lineskip}{7pt} + \begin{algorithmic} + \label{multiplikation:alg:linear} + \Function{L}{$\mathbf{a}, \mathbf{b}$,n} + \State $ sum \gets 0$ + \For{$i = 0,1,2 \dots,n$} + \State $ sum \gets sum + A[i] \cdot B[i] $ + \EndFor + + \State \textbf{return} $sum$ + + \EndFunction + \State + \State + \end{algorithmic} + \end{algorithm} + \end{minipage} + & + \begin{minipage}{0.4\textwidth} + \begin{algorithm}[H]\footnotesize\caption{} + \label{multiplikation:alg:q1} + \setlength{\lineskip}{7pt} + \begin{algorithmic} + \Function{Q}{$\mathbf{A}, \mathbf{B}$,n} + \State $ sum \gets 0$ + \For{$i = 0,1,2 \dots,n$} + \For{$j = 0,1,2 \dots,n$} + \State $ sum \gets sum + A[i] \cdot B[j] $ + \EndFor + \EndFor + \State \textbf{return} $sum$ + \EndFunction + \end{algorithmic} + \end{algorithm} + \end{minipage} + \end{tabular} +\end{table} + +dhdfh +\end{document} diff --git a/buch/papers/multiplikation/images/meas_c.pdf b/buch/papers/multiplikation/images/meas_c.pdf index 3a4cfd8..e6af618 100644 Binary files a/buch/papers/multiplikation/images/meas_c.pdf and b/buch/papers/multiplikation/images/meas_c.pdf differ diff --git a/buch/papers/multiplikation/images/meas_c.tex b/buch/papers/multiplikation/images/meas_c.tex index 818a7e6..647a322 100644 --- a/buch/papers/multiplikation/images/meas_c.tex +++ b/buch/papers/multiplikation/images/meas_c.tex @@ -43,8 +43,8 @@ \begin{tikzpicture} \begin{axis}[ xmode=log, ymode=log, -xmin=60, xmax=5000, -ymin=1e-4, ymax=2e3, +xmin=60, xmax=10000, +ymin=1e-4, ymax=2e4, grid=both, major grid style={black!50}, xlabel = data Input ($n$), @@ -70,6 +70,7 @@ width=12cm, height=8cm, (1024,4.539413) (2048,130.627663) (4096,1179.261048) +(8192,10071.512655) }; \addlegendentry{Strassen} \addplot [ color=black, @@ -86,6 +87,7 @@ width=12cm, height=8cm, (1024,8.457472 ) (2048,59.267256) (4096,414.648901) +(8192,3014.235467) }; \addlegendentry{MM div and conq} @@ -103,6 +105,7 @@ width=12cm, height=8cm, (1024,19.928951 ) (2048,159.333884 ) (4096,1147.106865) +(8192,9606.402522) }; \addlegendentry{MM} @@ -120,6 +123,7 @@ width=12cm, height=8cm, (1024,4.162845 ) (2048,125.909034 ) (4096,1111.312696) +(8192,9376.173434) }; \addlegendentry{BLAS} \addplot[ color=blue, @@ -136,6 +140,7 @@ width=12cm, height=8cm, (1024,0.704748 ) (2048,6.845095 ) (4096,55.845038) +(8192,478.429957) }; \end{axis} \end{tikzpicture} -- cgit v1.2.1 From 3c59b60807e1d1238bf591e238a42574327246ca Mon Sep 17 00:00:00 2001 From: Nunigan Date: Tue, 10 Aug 2021 07:29:49 +0200 Subject: update plots --- buch/papers/multiplikation/images/meas_c.pdf | Bin 23552 -> 24028 bytes buch/papers/multiplikation/images/meas_c.tex | 115 +++++++++++----------- buch/papers/multiplikation/images/meas_python.pdf | Bin 21700 -> 26004 bytes buch/papers/multiplikation/images/meas_python.tex | 53 ++++++---- buch/papers/multiplikation/images/x.pdf | Bin 0 -> 23603 bytes 5 files changed, 91 insertions(+), 77 deletions(-) create mode 100644 buch/papers/multiplikation/images/x.pdf (limited to 'buch/papers/multiplikation/images') diff --git a/buch/papers/multiplikation/images/meas_c.pdf b/buch/papers/multiplikation/images/meas_c.pdf index e6af618..faf347e 100644 Binary files a/buch/papers/multiplikation/images/meas_c.pdf and b/buch/papers/multiplikation/images/meas_c.pdf differ diff --git a/buch/papers/multiplikation/images/meas_c.tex b/buch/papers/multiplikation/images/meas_c.tex index 647a322..fe2bd2f 100644 --- a/buch/papers/multiplikation/images/meas_c.tex +++ b/buch/papers/multiplikation/images/meas_c.tex @@ -43,8 +43,8 @@ \begin{tikzpicture} \begin{axis}[ xmode=log, ymode=log, -xmin=60, xmax=10000, -ymin=1e-4, ymax=2e4, +xmin=30, xmax=10000, +ymin=1e-5, ymax=2e4, grid=both, major grid style={black!50}, xlabel = data Input ($n$), @@ -57,35 +57,36 @@ width=12cm, height=8cm, ] \addlegendentry{Winograd} \addplot[ color=purple, + error bars/.cd, y dir=both, y explicit, ] coordinates { -% (2, 0.000001) -% (4, 0.000001) -% (8, 0.000002) -% (16, 0.000011) -% (32, 0.000100) -(64, 0.000654) -(128, 0.005229) -(256, 0.057440) -(512, 0.517850) -(1024,4.539413) -(2048,130.627663) +%(2,1e-07) +%(4,5e-07) +%(8,2.0000000000000003e-06) +%(16,1.1999999999999999e-05) +(32,8.329999999999999e-05) +(64,0.0006479) +(128,0.0052873) +(256,0.052674599999999995) +(512,0.5249752000000001) +(1024,4.671161) +(2048,136.6769777) (4096,1179.261048) (8192,10071.512655) }; \addlegendentry{Strassen} \addplot [ color=black, ]coordinates { - % (2,0.000001 ) - % (4,0.000003 ) - % (8,0.000010 ) - % (16,0.000066 ) - % (32,0.000470 ) - (64,0.003368 ) - (128,0.024232 ) - (256,0.172000 ) - (512,1.209262 ) -(1024,8.457472 ) -(2048,59.267256) +%(2,1e-07) +%(4,2.1e-06) +%(8,1.13e-05) +%(16,7.07e-05) +(32,0.0005041) +(64,0.003596) +(128,0.0254481) +(256,0.1781817) +(512,1.2555) +(1024,8.8302371) +(2048,61.9018691) (4096,414.648901) (8192,3014.235467) }; @@ -93,17 +94,17 @@ width=12cm, height=8cm, \addlegendentry{MM div and conq} \addplot[ color=green, ] coordinates { - % (2,0.000003 ) - % (4,0.000002 ) - % (8,0.000010 ) - % (16,0.000068 ) - % (32,0.000594 ) - (64,0.004264 ) - (128,0.036289 ) - (256,0.324645 ) - (512,2.612010 ) -(1024,19.928951 ) -(2048,159.333884 ) +%(2,3e-07) +%(4,1.1e-06) +%(8,8.6e-06) +%(16,7.819999999999999e-05) +(32,0.0005940000000000001) +(64,0.0044339) +(128,0.0348443) +(256,0.29484730000000003) +(512,2.2228507) +(1024,17.659234500000004) +(2048,141.6103936) (4096,1147.106865) (8192,9606.402522) }; @@ -111,34 +112,34 @@ width=12cm, height=8cm, \addlegendentry{MM} \addplot [ color=red, ]coordinates { - % (2,0.000001 ) - % (4,0.000001 ) - % (8,0.000001 ) - % (16,0.000010 ) - % (32,0.000081 ) - (64,0.000654 ) - (128,0.005556 ) - (256,0.054253 ) - (512,0.487317 ) -(1024,4.162845 ) -(2048,125.909034 ) +%(2,0.0) +%(4,3e-07) +%(8,1.8000000000000001e-06) +%(16,1.1999999999999999e-05) +(32,8.93e-05) +(64,0.0006923) +(128,0.0056842) +(256,0.051771500000000005) +(512,0.5062468000000001) +(1024,4.5048086) +(2048,129.2894619) (4096,1111.312696) (8192,9376.173434) }; \addlegendentry{BLAS} \addplot[ color=blue, ] coordinates { - % (2,0.000001 ) - % (4,0.000001 ) - % (8,0.000001 ) - % (16,0.000003 ) - % (32,0.000022 ) - (64,0.000179 ) - (128,0.001278 ) - (256,0.010165 ) - (512,0.074739 ) -(1024,0.704748 ) -(2048,6.845095 ) +%(2,1e-07) +%(4,0.0) +%(8,1e-07) +%(16,3.9e-06) +(32,2.1000000000000002e-05) +(64,0.00018580000000000002) +(128,0.0012649) +(256,0.0096489) +(512,0.0773765) +(1024,0.7643868) +(2048,7.6320993999999995) (4096,55.845038) (8192,478.429957) }; diff --git a/buch/papers/multiplikation/images/meas_python.pdf b/buch/papers/multiplikation/images/meas_python.pdf index cea2232..cea4f4b 100644 Binary files a/buch/papers/multiplikation/images/meas_python.pdf and b/buch/papers/multiplikation/images/meas_python.pdf differ diff --git a/buch/papers/multiplikation/images/meas_python.tex b/buch/papers/multiplikation/images/meas_python.tex index ee4db43..c8892be 100644 --- a/buch/papers/multiplikation/images/meas_python.tex +++ b/buch/papers/multiplikation/images/meas_python.tex @@ -43,8 +43,8 @@ \begin{tikzpicture} \begin{axis}[ xmode=log, ymode=log, -xmin=30, xmax=1050, -ymin=0.01, ymax=900, +xmin=30, xmax=4100, +ymin=0.00001, ymax=60000, grid=both, major grid style={black!50}, xlabel = data input ($n$), @@ -68,7 +68,8 @@ width=12cm, height=8cm, (256, 8.29899 ) (512, 68.3699 ) (1024,537.374 ) - +(2046,4884.61) +(4096,43597.1) }; \addlegendentry{Strassen} \addplot [ color=black, @@ -79,10 +80,12 @@ width=12cm, height=8cm, % (16,0.00475407 ) (32,0.0485256 ) (64,0.220414 ) - (128,1.44718 2 ) - (256,9.93866 0 ) - (512,63.961 2 ) -(1024,461.494 2 ) + (128,1.44718 ) + (256,9.93866 ) + (512,63.961 ) +(1024,461.494 ) +(2046,3860.57) +(4096,22904.3) }; \addlegendentry{MM div and conq} @@ -98,6 +101,8 @@ width=12cm, height=8cm, (256,13.27 ) (512,105.397 ) (1024,847.321 ) +(2046,7375.93) +(4096,58466) }; \addlegendentry{MM} @@ -113,25 +118,33 @@ width=12cm, height=8cm, (256, 11.0062 ) (512, 85.4768) (1024,750.757 ) +(2046,6154.18) +(4096,46813.3) }; -% \addlegendentry{NumPy} -% \addplot[ color=blue, -% ] coordinates { + \addlegendentry{NumPy} + \addplot[ color=blue, + ] coordinates { % (2,1.83582e-05 ) % (4,7.86781e-06) % (8,1.00136e-05) % (16,5.4121e-05 ) -% (32,4.26769e-05) -% (64,0.000118494) -% (128,0.000244141 ) -% (256,0.000695705 ) -% (512,0.00221705 ) -% (1024,0.0188088 ) -% }; + (32,4.26769e-05) + (64,0.000118494) + (128,0.000244141 ) + (256,0.000695705 ) + (512,0.00221705 ) + (1024,0.0188088 ) +(2046,0.215739) +(4096,1.49159) + }; + \addplot [ + domain= 1:5000, + samples=100, + color=yellow, + ] + {(x-1000)^3}; + \addlegendentry{$\mathcal{O}\left(n^3\right)$} \end{axis} \end{tikzpicture} \end{document} - - - diff --git a/buch/papers/multiplikation/images/x.pdf b/buch/papers/multiplikation/images/x.pdf new file mode 100644 index 0000000..da4956f Binary files /dev/null and b/buch/papers/multiplikation/images/x.pdf differ -- cgit v1.2.1 From 6bab37ba5c4d1875f3c99f338a554537219013f6 Mon Sep 17 00:00:00 2001 From: Nunigan Date: Wed, 11 Aug 2021 21:22:29 +0200 Subject: update multiplikation --- buch/papers/multiplikation/images/meas_python.pdf | Bin 26004 -> 22384 bytes buch/papers/multiplikation/images/meas_python.tex | 44 ++++++++++------------ buch/papers/multiplikation/images/x.pdf | Bin 23603 -> 0 bytes 3 files changed, 19 insertions(+), 25 deletions(-) delete mode 100644 buch/papers/multiplikation/images/x.pdf (limited to 'buch/papers/multiplikation/images') diff --git a/buch/papers/multiplikation/images/meas_python.pdf b/buch/papers/multiplikation/images/meas_python.pdf index cea4f4b..ab3b14b 100644 Binary files a/buch/papers/multiplikation/images/meas_python.pdf and b/buch/papers/multiplikation/images/meas_python.pdf differ diff --git a/buch/papers/multiplikation/images/meas_python.tex b/buch/papers/multiplikation/images/meas_python.tex index c8892be..d942f46 100644 --- a/buch/papers/multiplikation/images/meas_python.tex +++ b/buch/papers/multiplikation/images/meas_python.tex @@ -43,8 +43,8 @@ \begin{tikzpicture} \begin{axis}[ xmode=log, ymode=log, -xmin=30, xmax=4100, -ymin=0.00001, ymax=60000, +xmin=30, xmax=4200, +ymin=0.01, ymax=70000, grid=both, major grid style={black!50}, xlabel = data input ($n$), @@ -121,29 +121,23 @@ width=12cm, height=8cm, (2046,6154.18) (4096,46813.3) }; - \addlegendentry{NumPy} - \addplot[ color=blue, - ] coordinates { -% (2,1.83582e-05 ) -% (4,7.86781e-06) -% (8,1.00136e-05) -% (16,5.4121e-05 ) - (32,4.26769e-05) - (64,0.000118494) - (128,0.000244141 ) - (256,0.000695705 ) - (512,0.00221705 ) - (1024,0.0188088 ) -(2046,0.215739) -(4096,1.49159) - }; - \addplot [ - domain= 1:5000, - samples=100, - color=yellow, - ] - {(x-1000)^3}; - \addlegendentry{$\mathcal{O}\left(n^3\right)$} +% \addlegendentry{NumPy} +% \addplot[ color=blue, +% ] coordinates { +% % (2,1.83582e-05 ) +% % (4,7.86781e-06) +% % (8,1.00136e-05) +% % (16,5.4121e-05 ) +% (32,4.26769e-05) +% (64,0.000118494) +% (128,0.000244141 ) +% (256,0.000695705 ) +% (512,0.00221705 ) +% (1024,0.0188088 ) +% (2046,0.215739) +% (4096,1.49159) +% }; + \end{axis} \end{tikzpicture} diff --git a/buch/papers/multiplikation/images/x.pdf b/buch/papers/multiplikation/images/x.pdf deleted file mode 100644 index da4956f..0000000 Binary files a/buch/papers/multiplikation/images/x.pdf and /dev/null differ -- cgit v1.2.1