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-rw-r--r--buch/papers/multiplikation/code/MM.py90
1 files changed, 59 insertions, 31 deletions
diff --git a/buch/papers/multiplikation/code/MM.py b/buch/papers/multiplikation/code/MM.py
index 626b82d..8057850 100644
--- a/buch/papers/multiplikation/code/MM.py
+++ b/buch/papers/multiplikation/code/MM.py
@@ -5,6 +5,7 @@ Created on Fri Mar 19 07:31:29 2021
@author: nunigan
"""
+import scipy.stats
import numpy as np
import time
import matplotlib.pyplot as plt
@@ -132,6 +133,7 @@ def winograd2(A, B):
return C
def test_perfomance(n):
+
t_mm = []
t_mm_dc = []
t_mm_strassen = []
@@ -174,17 +176,18 @@ def test_perfomance(n):
plt.plot(n, t_mm_strassen, label='Strassen', lw=5)
plt.plot(n, t_wino, label='Winograd', lw=5)
plt.plot(n, t_np, label='NumPy A@B', lw=5)
+ # plt.xscale('log', base=2)
plt.legend()
plt.xlabel("n")
plt.ylabel("time (s)")
- plt.grid(True)
+ plt.grid(True, which="both", ls="-")
plt.tight_layout()
# plt.yscale('log')
plt.legend(fontsize=19)
plt.savefig('meas_' + str(max(n))+ '.pdf')
arr = np.array([n, t_mm, t_mm_dc, t_mm_strassen, t_wino, t_np])
np.savetxt('meas_' + str(max(n))+ '.txt',arr)
- return arr
+ return t_np
def plot(num):
@@ -198,10 +201,11 @@ def plot(num):
plt.plot(n, t_mm, label='3 For Loops', lw=5)
plt.plot(n, t_mm_dc, label='Divide and Conquer', lw=5)
plt.plot(n, t_mm_strassen, label='Strassen', lw=5)
- # plt.plot(n, t_wino, label='Winograd', lw=5)
+ plt.plot(n, t_wino, label='Winograd', lw=5)
plt.plot(n, t_np, label='NumPy A@B', lw=5)
plt.legend()
plt.xlabel("n")
+ # plt.yscale('log', base=10)
plt.ylabel("time (s)")
plt.grid(True)
plt.tight_layout()
@@ -211,36 +215,39 @@ def plot(num):
return arr
def plot_c_res(ave, num):
+
MM = np.loadtxt("meas/MM.txt", delimiter=',')
- # winograd = np.loadtxt("meas/winograd.txt", delimiter=',')
+ winograd = np.loadtxt("meas/winograd.txt", delimiter=',')
blas = np.loadtxt("meas/blas.txt", delimiter=',')
MM_dc = np.loadtxt("meas/MM_dc.txt", delimiter=',')
strassen = np.loadtxt("meas/strassen.txt", delimiter=',')
MM_t = MM[:,0]
MM_n = MM[:,1]
- MM_t = np.mean(MM_t.reshape(-1,ave),axis=1)
- MM_n = np.mean(MM_n.reshape(-1,ave),axis=1)
+ # MM_t = np.mean(MM_t.reshape(-1,ave),axis=1)
+ # MM_n = np.mean(MM_n.reshape(-1,ave),axis=1)
MM_dc_t = MM_dc[:,0]
MM_dc_n = MM_dc[:,1]
- MM_dc_t = np.mean(MM_dc_t.reshape(-1,ave),axis=1)
- MM_dc_n = np.mean(MM_dc_n.reshape(-1,ave),axis=1)
+ # MM_dc_t = np.mean(MM_dc_t.reshape(-1,ave),axis=1)
+ # MM_dc_n = np.mean(MM_dc_n.reshape(-1,ave),axis=1)
strassen_t = strassen[:,0]
strassen_n = strassen[:,1]
- strassen_t = np.mean(strassen_t.reshape(-1,ave),axis=1)
- strassen_n = np.mean(strassen_n.reshape(-1,ave),axis=1)
+ # strassen_t = np.mean(strassen_t.reshape(-1,ave),axis=1)
+ # strassen_n = np.mean(strassen_n.reshape(-1,ave),axis=1)
- # winograd_t = winograd[:,0]
- # winograd_n = winograd[:,1]
+ winograd_t = winograd[:,0]
+ winograd_n = winograd[:,1]
# winograd_t = np.mean(winograd_t.reshape(-1,ave),axis=1)
# winograd_n = np.mean(winograd_n.reshape(-1,ave),axis=1)
blas_t = blas[:,0]
blas_n = blas[:,1]
- blas_t = np.mean(blas_t.reshape(-1,ave),axis=1)
- blas_n = np.mean(blas_n.reshape(-1,ave),axis=1)
+ # blas_t = np.mean(blas_t.reshape(-1,ave),axis=1)
+ # blas_n = np.mean(blas_n.reshape(-1,ave),axis=1)
+
+
def func(x, a,b):
return b*x**a
@@ -254,14 +261,16 @@ def plot_c_res(ave, num):
plt.rc('axes', labelsize=23)
plt.rc('xtick', labelsize=23)
plt.rc('ytick', labelsize=23)
- plt.plot(MM_n, MM_t, label='3 For Loops', lw=5)
- # plt.plot(winograd_n, winograd_t, label='Winograd MM', lw=5)
- plt.plot(blas_n, blas_t, label='Blas', lw=5)
- plt.plot(strassen_n, strassen_t, label='Strassen', lw=5)
- plt.plot(MM_dc_n, MM_dc_t, label='Divide and Conquer', lw=5)
+ plt.loglog(MM_n, MM_t, '.', label='3 For Loops', lw=5)
+ plt.loglog(winograd_n, winograd_t, '.', label='Winograd MM', lw=5)
+ plt.loglog(blas_n, blas_t, '.', label='Blas', lw=5)
+ plt.loglog(strassen_n, strassen_t, '.', label='Strassen', lw=5)
+ plt.loglog(MM_dc_n, MM_dc_t, '.', label='Divide and Conquer', lw=5)
plt.xlabel("n")
+ # plt.yscale('log', base=10)
+ # plt.xscale('log', base=2)
plt.ylabel("time (s)")
- plt.grid(True)
+ plt.grid(True, which="both", ls="-")
plt.tight_layout()
plt.legend(fontsize=19)
plt.savefig('c_meas_' + str(num)+ '.pdf')
@@ -271,23 +280,42 @@ def plot_c_res(ave, num):
# plt.plot(blas_n, func(blas_n, *popt2), 'r-', label='fit MM: a=%5.5f, b=%5.10f' % tuple(popt2))
plt.legend()
+ # return [MM_n,winograd_n,blas_n,strassen_n,MM_dc_n]
+
+ return [MM_t,winograd_t,blas_t,strassen_t,MM_dc_t]
+
+
+def mean_confidence_interval(data, confidence=0.95):
+ a = 1.0 * np.array(data)
+ 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, h
# test%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
if __name__ == '__main__':
- plot_c_res(1, 4096)
-
-
- # plot(8)
- # n = np.logspace(1,10,10,base=2,dtype=(np.int))
+ # 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)
- A = np.random.randint(-10, 10, (5,3))
- B = np.random.randint(-10, 10, (3,5))
+ # A = np.random.randint(-10, 6, (5,3))
+ # B = np.random.randint(-10, 6, (3,5))
- C = winograd2(A, B)
- C_test = A@B
- print(C)
- print(C_test)
+ # C = winograd2(A, B)
+ # C_test = A@B
+ # print(C)
+ # print(C_test)
# print(np.equal(C, C_test))
# t_np = test_perfomance(n)