14 files changed, 105 insertions, 144 deletions
diff --git a/buch/papers/multiplikation/code/MM.py b/buch/papers/multiplikation/code/MM.py
index 8a6824a..8057850 100644
--- a/buch/papers/multiplikation/code/MM.py
+++ b/buch/papers/multiplikation/code/MM.py
@@ -291,19 +291,21 @@ def mean_confidence_interval(data, confidence=0.95):
     n = len(a)
     m, se = np.mean(a), scipy.stats.sem(a)
     h = se * scipy.stats.t.ppf((1 + confidence) / 2., n-1)
-    return m, m-h, m+h
+    return m, h
 
 # test%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 if __name__ == '__main__':
-    A = plot_c_res(10, 4096)
-    name = ['MM', 'Wino', 'blas', 'strassen', 'dc']
-    for i in range(5):
-        ci_inner = []
-        for j in range(11):
-            ci_inner.append(mean_confidence_interval(A[i][j*10:(j+1)*10]))
-        np.savetxt('meas/ci/' + name[i]+'.txt',ci_inner)
-
-    # arr = plot(1024)    
+    # A = plot_c_res(10, 4096)
+    # name = ['MM', 'Wino', 'blas', 'strassen', 'dc']
+    # for i in range(5):
+    #     ci_inner = []
+    #     print(name[i])
+    #     for j in range(11):
+    #         m,h=mean_confidence_interval(A[i][j*10:(j+1)*10])
+    #         print("({},{})".format(2**(j+1),m))
+    #     np.savetxt('meas/ci/' + name[i]+'.txt',ci_inner)
+
+    arr = plot(4096)
     # n = np.logspace(1,12,12,base=2,dtype=(np.int))
     # n=[2048,4096]
     # n = np.arange(1,50,2)  
diff --git a/buch/papers/multiplikation/code/c_meas_4096.pdf b/buch/papers/multiplikation/code/c_meas_4096.pdf
index b42082f..f637ae4 100644
--- a/buch/papers/multiplikation/code/c_meas_4096.pdf
+++ b/buch/papers/multiplikation/code/c_meas_4096.pdf
diff --git a/buch/papers/multiplikation/code/helper_class.py b/buch/papers/multiplikation/code/helper_class.py
index ad67909..3b74f67 100755
--- a/buch/papers/multiplikation/code/helper_class.py
+++ b/buch/papers/multiplikation/code/helper_class.py
@@ -101,6 +101,6 @@ if __name__ == '__main__':
 
     helper = Helper()
     # n = np.arange(2,10)
-    n = np.logspace(1,4,4,base=2,dtype=(np.int))
+    n = np.logspace(1,11,11,base=2,dtype=(np.int))
     # n=[8192]
-    C = helper.write_c_matrix(n)
+    # C = helper.write_c_matrix(n)
diff --git a/buch/papers/multiplikation/code/meas/ci/MM.txt b/buch/papers/multiplikation/code/meas/ci/MM.txt
index e4ad1ba..e69de29 100644
--- a/buch/papers/multiplikation/code/meas/ci/MM.txt
+++ b/buch/papers/multiplikation/code/meas/ci/MM.txt
@@ -1,11 +0,0 @@
-0.000000000000000000e+00 0.000000000000000000e+00 0.000000000000000000e+00
-2.999999999999999864e-07 -4.555021440490437016e-08 6.455502144049043430e-07
-1.800000000000000130e-06 1.498379044967867836e-06 2.101620955032132425e-06
-1.199999999999999861e-05 9.737842837259007037e-06 1.426215716274099018e-05
-8.930000000000000221e-05 7.942767152586658090e-05 9.917232847413342352e-05
-6.922999999999999684e-04 6.611729768299406300e-04 7.234270231700593067e-04
-5.684200000000000363e-03 5.587928563282692010e-03 5.780471436717308717e-03
-5.177150000000000502e-02 5.161257221154376407e-02 5.193042778845624596e-02
-5.062468000000001078e-01 5.001729723042721565e-01 5.123206276957280592e-01
-4.504808599999999608e+00 4.404751183933223402e+00 4.604866016066775813e+00
-1.292894618999999921e+02 1.292188312556721144e+02 1.293600925443278697e+02
diff --git a/buch/papers/multiplikation/code/meas/ci/Wino.txt b/buch/papers/multiplikation/code/meas/ci/Wino.txt
index 4ec0106..e69de29 100644
--- a/buch/papers/multiplikation/code/meas/ci/Wino.txt
+++ b/buch/papers/multiplikation/code/meas/ci/Wino.txt
@@ -1,11 +0,0 @@
-9.999999999999999547e-08 -1.262157162740991459e-07 3.262157162740991104e-07
-0.000000000000000000e+00 0.000000000000000000e+00 0.000000000000000000e+00
-2.000000000000000333e-06 1.999999999999999909e-06 2.000000000000000757e-06
-1.199999999999999861e-05 9.737842837259007037e-06 1.426215716274099018e-05
-8.329999999999999189e-05 7.952898408510092581e-05 8.707101591489905797e-05
-6.478999999999999733e-04 6.173195729945008762e-04 6.784804270054990705e-04
-5.287299999999999986e-03 5.226513788941518357e-03 5.348086211058481615e-03
-5.267459999999999504e-02 5.240389179019239174e-02 5.294530820980759833e-02
-5.249752000000000862e-01 5.233835466989910090e-01 5.265668533010091634e-01
-4.671160999999999675e+00 4.572509907501117965e+00 4.769812092498881384e+00
-1.366769777000000090e+02 1.363957928284978891e+02 1.369581625715021289e+02
diff --git a/buch/papers/multiplikation/code/meas/ci/blas.txt b/buch/papers/multiplikation/code/meas/ci/blas.txt
index 5d7ff7b..e69de29 100644
--- a/buch/papers/multiplikation/code/meas/ci/blas.txt
+++ b/buch/papers/multiplikation/code/meas/ci/blas.txt
@@ -1,11 +0,0 @@
-9.999999999999999547e-08 -1.262157162740991459e-07 3.262157162740991104e-07
-0.000000000000000000e+00 0.000000000000000000e+00 0.000000000000000000e+00
-9.999999999999999547e-08 -1.262157162740991459e-07 3.262157162740991104e-07
-3.899999999999999929e-06 1.864058553533107683e-06 5.935941446466892176e-06
-2.100000000000000223e-05 1.871284586667546976e-05 2.328715413332453469e-05
-1.858000000000000168e-04 1.595988766828141249e-04 2.120011233171859087e-04
-1.264900000000000009e-03 1.221091632895032926e-03 1.308708367104967091e-03
-9.648900000000000185e-03 9.575266909835235610e-03 9.722533090164764760e-03
-7.737650000000000083e-02 7.445101996220353235e-02 8.030198003779646931e-02
-7.643868000000000329e-01 7.545731380187049586e-01 7.742004619812951072e-01
-7.632099399999999534e+00 7.613379481172315444e+00 7.650819318827683624e+00
diff --git a/buch/papers/multiplikation/code/meas/ci/dc.txt b/buch/papers/multiplikation/code/meas/ci/dc.txt
index df268a9..e69de29 100644
--- a/buch/papers/multiplikation/code/meas/ci/dc.txt
+++ b/buch/papers/multiplikation/code/meas/ci/dc.txt
@@ -1,11 +0,0 @@
-2.999999999999999864e-07 -3.786471488222973584e-07 9.786471488222972253e-07
-1.100000000000000056e-06 8.737842837259009412e-07 1.326215716274099171e-06
-8.600000000000000670e-06 6.210712693650135778e-06 1.098928730634986641e-05
-7.819999999999998990e-05 7.075203863371232107e-05 8.564796136628765873e-05
-5.940000000000001269e-04 5.439534118129448707e-04 6.440465881870553830e-04
-4.433900000000000167e-03 4.349138038034851966e-03 4.518661961965148369e-03
-3.484430000000000166e-02 3.435947773230259988e-02 3.532912226769740344e-02
-2.948473000000000344e-01 2.887830472415335303e-01 3.009115527584665384e-01
-2.222850699999999957e+00 2.193855611791002858e+00 2.251845788208997057e+00
-1.765923450000000372e+01 1.762601016688562439e+01 1.769245883311438305e+01
-1.416103936000000090e+02 1.414816028568733657e+02 1.417391843431266523e+02
diff --git a/buch/papers/multiplikation/code/meas/ci/strassen.txt b/buch/papers/multiplikation/code/meas/ci/strassen.txt
index 983fed9..e69de29 100644
--- a/buch/papers/multiplikation/code/meas/ci/strassen.txt
+++ b/buch/papers/multiplikation/code/meas/ci/strassen.txt
@@ -1,11 +0,0 @@
-0.000000000000000000e+00 0.000000000000000000e+00 0.000000000000000000e+00
-2.099999999999999799e-06 1.572163328693768390e-06 2.627836671306231420e-06
-1.130000000000000023e-05 7.484018077564905836e-06 1.511598192243509547e-05
-7.069999999999999733e-05 6.500652995675561090e-05 7.639347004324438376e-05
-5.040999999999999474e-04 4.766428619697257881e-04 5.315571380302741610e-04
-3.595999999999999804e-03 3.528938496002300557e-03 3.663061503997699052e-03
-2.544810000000000128e-02 2.513634544137222787e-02 2.575985455862777468e-02
-1.781816999999999984e-01 1.773043765864557864e-01 1.790590234135442105e-01
-1.255500000000000060e+00 1.247847949398645628e+00 1.263152050601354492e+00
-8.830237099999999728e+00 8.790366960647805428e+00 8.870107239352194028e+00
-6.190186909999999898e+01 6.183048085945843297e+01 6.197325734054156499e+01
diff --git a/buch/papers/multiplikation/code/meas_4096.pdf b/buch/papers/multiplikation/code/meas_4096.pdf
index 9e8fcea..ecf2cff 100644
--- a/buch/papers/multiplikation/code/meas_4096.pdf
+++ b/buch/papers/multiplikation/code/meas_4096.pdf
diff --git a/buch/papers/multiplikation/images/meas_c.pdf b/buch/papers/multiplikation/images/meas_c.pdf
index e6af618..faf347e 100644
--- a/buch/papers/multiplikation/images/meas_c.pdf
+++ 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
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
--- a/buch/papers/multiplikation/images/meas_python.pdf
+++ 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
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
--- /dev/null
+++ b/buch/papers/multiplikation/images/x.pdf