From ce9f4591847c6bd2dc6ebaa30fc5d72714e0280c Mon Sep 17 00:00:00 2001
From: Nunigan <michaelschmid13@hotmail.com>
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 <michaelschmid13@hotmail.com>
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 <michael.schmid2@ost.ch>
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