diff options
Diffstat (limited to 'buch/papers/multiplikation/images')
| -rw-r--r-- | buch/papers/multiplikation/images/bigo.pdf | bin | 24288 -> 28372 bytes | |||
| -rw-r--r-- | buch/papers/multiplikation/images/bigo.tex | 42 | ||||
| -rw-r--r-- | buch/papers/multiplikation/images/c_meas_4096.pdf | bin | 0 -> 17400 bytes | |||
| -rw-r--r-- | buch/papers/multiplikation/images/meas_1024.pdf | bin | 0 -> 18813 bytes | |||
| -rw-r--r-- | buch/papers/multiplikation/images/meas_c.pdf | bin | 0 -> 23161 bytes | |||
| -rw-r--r-- | buch/papers/multiplikation/images/meas_c.tex | 143 | ||||
| -rw-r--r-- | buch/papers/multiplikation/images/meas_python.pdf | bin | 0 -> 21700 bytes | |||
| -rw-r--r-- | buch/papers/multiplikation/images/meas_python.tex | 137 | ||||
| -rw-r--r-- | buch/papers/multiplikation/images/strassen.pdf | bin | 15850 -> 19970 bytes | |||
| -rw-r--r-- | buch/papers/multiplikation/images/strassen.tex | 14 |
10 files changed, 310 insertions, 26 deletions
diff --git a/buch/papers/multiplikation/images/bigo.pdf b/buch/papers/multiplikation/images/bigo.pdf Binary files differindex dfa2ba4..8a53398 100644 --- a/buch/papers/multiplikation/images/bigo.pdf +++ b/buch/papers/multiplikation/images/bigo.pdf diff --git a/buch/papers/multiplikation/images/bigo.tex b/buch/papers/multiplikation/images/bigo.tex index e3293e4..9ee3a68 100644 --- a/buch/papers/multiplikation/images/bigo.tex +++ b/buch/papers/multiplikation/images/bigo.tex @@ -39,67 +39,71 @@ \begin{document} \begin{tikzpicture} + \begin{axis}[ - axis lines = left, - xlabel = $n$ (Data Input), - ylabel = {$t$ (time)}, - legend pos=north east, + xmode=log, ymode=log, + xmin=1e-0, xmax=5000, + ymin=10e-1, ymax=1e7, + grid=both, + major grid style={black!50}, + xlabel = data input size, + ylabel = {time}, + legend pos=north west, very thick, - ymax = 500, yticklabels=\empty, xticklabels=\empty, scale only axis=true, - width=12cm, height=6cm, + width=12cm, height=8cm, ] \addplot [ - domain= 1:20, + domain= 1:5000, samples=100, color=red, ] {1}; \addlegendentry{$\mathcal{O}(1)$} \addplot [ - domain= 1:20, + domain= 1:5000, samples=100, color=green, ] {x}; \addlegendentry{$\mathcal{O}(n)$} \addplot [ - domain= 1:20, + domain= 1:50000, samples=100, color=blue, ] {x^2}; -\addlegendentry{$\mathcal{O}(n^2)$} +\addlegendentry{$\mathcal{O}\left(n^2\right)$} \addplot [ - domain= 1:10, + domain= 1:500, samples=100, color=purple, ] {x^3}; -\addlegendentry{$\mathcal{O}(n^3)$} +\addlegendentry{$\mathcal{O}\left(n^3\right)$} \addplot [ - domain= 1:10, + domain= 1:500, samples=100, color=black, ] -{exp(x)}; -\addlegendentry{$\mathcal{O}(e^n)$} +{exp(x) - 1.7}; +\addlegendentry{$\mathcal{O}\left(e^n\right)$} \addplot [ - domain= 1:20, + domain= 1:5000, samples=100, color=orange, ] -{log2(x)}; +{log2(x)+1}; \addlegendentry{$\mathcal{O}(\log n)$} \addplot [ - domain= 1:20, + domain= 1:5000, samples=100, color=gray, ] -{x*log2(x)}; +{x*log2(x)+1}; \addlegendentry{$\mathcal{O}(n \log n)$} \end{axis} \end{tikzpicture} diff --git a/buch/papers/multiplikation/images/c_meas_4096.pdf b/buch/papers/multiplikation/images/c_meas_4096.pdf Binary files differnew file mode 100644 index 0000000..304015a --- /dev/null +++ b/buch/papers/multiplikation/images/c_meas_4096.pdf diff --git a/buch/papers/multiplikation/images/meas_1024.pdf b/buch/papers/multiplikation/images/meas_1024.pdf Binary files differnew file mode 100644 index 0000000..70c7ec1 --- /dev/null +++ b/buch/papers/multiplikation/images/meas_1024.pdf diff --git a/buch/papers/multiplikation/images/meas_c.pdf b/buch/papers/multiplikation/images/meas_c.pdf Binary files differnew file mode 100644 index 0000000..3a4cfd8 --- /dev/null +++ b/buch/papers/multiplikation/images/meas_c.pdf diff --git a/buch/papers/multiplikation/images/meas_c.tex b/buch/papers/multiplikation/images/meas_c.tex new file mode 100644 index 0000000..818a7e6 --- /dev/null +++ b/buch/papers/multiplikation/images/meas_c.tex @@ -0,0 +1,143 @@ + +\documentclass[border=10pt,varwidth]{standalone} +\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{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{cite} +\usepackage{url} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{tikz} +\usepackage{pgfplotstable} +\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{tikzpicture} +\begin{axis}[ +xmode=log, ymode=log, +xmin=60, xmax=5000, +ymin=1e-4, ymax=2e3, +grid=both, +major grid style={black!50}, +xlabel = data Input ($n$), +ylabel = {time ($s$)}, +legend pos=north west, +very thick, +scale only axis=true, +width=12cm, height=8cm, + log basis x={10} +] +\addlegendentry{Winograd} +\addplot[ color=purple, +] 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) +(4096,1179.261048) +}; +\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) +(4096,414.648901) +}; + +\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 ) +(4096,1147.106865) +}; + +\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 ) +(4096,1111.312696) +}; +\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 ) +(4096,55.845038) +}; +\end{axis} +\end{tikzpicture} + +\end{document} diff --git a/buch/papers/multiplikation/images/meas_python.pdf b/buch/papers/multiplikation/images/meas_python.pdf Binary files differnew file mode 100644 index 0000000..cea2232 --- /dev/null +++ b/buch/papers/multiplikation/images/meas_python.pdf diff --git a/buch/papers/multiplikation/images/meas_python.tex b/buch/papers/multiplikation/images/meas_python.tex new file mode 100644 index 0000000..ee4db43 --- /dev/null +++ b/buch/papers/multiplikation/images/meas_python.tex @@ -0,0 +1,137 @@ + +\documentclass[border=10pt,varwidth]{standalone} +\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{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{cite} +\usepackage{url} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{tikz} +\usepackage{pgfplotstable} +\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{tikzpicture} +\begin{axis}[ +xmode=log, ymode=log, +xmin=30, xmax=1050, +ymin=0.01, ymax=900, +grid=both, +major grid style={black!50}, +xlabel = data input ($n$), +ylabel = {time ($s$)}, +legend pos=north west, +very thick, +scale only axis=true, +width=12cm, height=8cm, + log basis x={10} +] +\addlegendentry{Winograd} +\addplot[ color=purple, +] coordinates { +% (2, 2.7895e-05 ) +% (4, 0.000104904) +% (8, 0.000552893) +% (16, 0.0045557 ) +(32, 0.0187144 ) +(64, 0.153069 ) +(128, 1.19476 ) +(256, 8.29899 ) +(512, 68.3699 ) +(1024,537.374 ) + +}; +\addlegendentry{Strassen} +\addplot [ color=black, +]coordinates { + % (2,2.09808e-05 ) + % (4,0.000174284 ) + % (8,0.000943899 ) + % (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 ) +}; + +\addlegendentry{MM div and conq} +\addplot[ color=green, +] coordinates { + % (2,8.10623e-06 ) + % (4,9.01222e-05 ) + % (8,0.000729084 ) + % (16,0.00497079 ) + (32,0.02719 ) + (64,0.26528 ) + (128,1.77787 ) + (256,13.27 ) + (512,105.397 ) +(1024,847.321 ) +}; + +\addlegendentry{MM} +\addplot [ color=red, +]coordinates { + % (2,1.85966e-05) + % (4,8.29697e-05 ) + % (8,0.000547171) + % (16,0.00305367 ) + (32, 0.0240743 ) + (64, 0.186895 ) + (128, 1.56369 ) + (256, 11.0062 ) + (512, 85.4768) +(1024,750.757 ) +}; +% \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 ) +% }; +\end{axis} +\end{tikzpicture} + +\end{document} + + + diff --git a/buch/papers/multiplikation/images/strassen.pdf b/buch/papers/multiplikation/images/strassen.pdf Binary files differindex 9899dcb..a30fdaa 100644 --- a/buch/papers/multiplikation/images/strassen.pdf +++ b/buch/papers/multiplikation/images/strassen.pdf diff --git a/buch/papers/multiplikation/images/strassen.tex b/buch/papers/multiplikation/images/strassen.tex index 797772b..5cf39b4 100644 --- a/buch/papers/multiplikation/images/strassen.tex +++ b/buch/papers/multiplikation/images/strassen.tex @@ -81,13 +81,13 @@ \node at (-3,-10) {$C_{12}=$} ; \node at (-3,-5) {$C_{11}=$} ; - \node at (5,-2) {I}; - \node at (10,-2) {II}; - \node at (15,-2) {III}; - \node at (20,-2) {IV}; - \node at (25,-2) {V}; - \node at (30,-2) {VI}; - \node at (35,-2) {VII}; + \node at (5,-2) {P}; + \node at (10,-2) {Q}; + \node at (15,-2) {R}; + \node at (20,-2) {S}; + \node at (25,-2) {T}; + \node at (30,-2) {U}; + \node at (35,-2) {V}; } |