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- ## 32 bit multiplier scheme 1
- import numpy as np
- from matplotlib import pyplot as plt
- import pandas as pd
- from pandas import Series
- import random
- get_bin = lambda x, n: format(x, 'b').zfill(n)
- x=list(range(100000))
- x1=list(range(5))
- yans=list(range(100000))
- yans1=list(range(100000))
- res = []
- res1 = []
- num1 = [6, 7, 8, 9, 10]
- mean_error_distance = [0, 0, 0, 0, 0]
- mean_relative_error_distance = [0., 0., 0., 0., 0.]
- normalized_error_distance = [0., 0., 0., 0., 0.]
- normailzed_relative_error_distance = [0., 0., 0., 0., 0.]
- acceptance_prob = [0., 0., 0., 0., 0.]
- for c in range(100000):
- res.append(random.randint(1, 4294967295))
- for d in range(100000):
- res1.append(random.randint(1, 4294967295))
- for g in range (5):
- mean_error_distance_1 = 0
- mean_relative_error_distance_1 = 0
- normalized_error_distance_1 = 0
- normailzed_relative_error_distance_1 = 0
- prob = 0
- for f in range (100000):
- a=res[f]
- b=res1[f]
- y=a*b
- abin = get_bin(a,32)
- bbin = get_bin(b,32)
- num = num1[g]
- i=0
- while (abin[i]=='0'):
- i=i+1
- j=0
- while (bbin[j]=='0'):
- j=j+1
- k=i
- l=j
- sum1=32-k-num
- sum2=32-l-num
- if (sum1<0):
- sum1=0
- if (sum2<0):
- sum2=0
- sum3=(sum1+sum2)*-1
- sum3=(sum1+sum2)*-1
- if (k+num>32):
- k = 32-num
- if (l+num>32):
- l = 32-num
- amul=abin[k:k+num]
- bmul=bbin[l:l+num]
- q=int(amul,2)
- w=int(bmul,2)
- e=q*w
- yapp = get_bin(e,64)
- yapp = [int(x) for x in yapp]
- yapp = np.roll(yapp,sum3)
- yapp = ' '.join(str(e) for e in yapp)
- yapp = str.replace(yapp," ","")
- w=int(yapp,2)
- ans=((y-w)/y)*100
- yans[f]=ans
- yans1[f] = (y-w)
- mean_error_distance[g] = (y-w) + mean_error_distance[g]
- mean_relative_error_distance[g] = mean_relative_error_distance[g] + ans
- max1 = max(yans1)
- max2 = max(yans)
- if (ans>1):
- prob = prob + 1
-
- mean_error_distance[g] = mean_error_distance[g]/100000
- mean_relative_error_distance[g] = mean_relative_error_distance[g]/100000
- normalized_error_distance[g] = mean_error_distance[g]/max1
- normailzed_relative_error_distance[g] = mean_relative_error_distance[g]/max2
- acceptance_prob[g] = prob/100000
- acceptance_prob[g] = 1-acceptance_prob[g]
- print ("*******************************")
- print ("latency parameter: ",num1[g])
- print ("mean_error_distance : ", mean_error_distance[g])
- print ("mean_relative_error_distance : ", mean_relative_error_distance[g])
- print ("normalized_error_distance : ", normalized_error_distance[g])
- print ("normailzed_relative_error_distance : ", normailzed_relative_error_distance[g])
- print ("acceptance_probability at 1% : ", acceptance_prob[g])
- plt.plot(x,yans)
- plt.title ('RELATIVE ERROR(%) 32 BIT MULTIPLIER SCHEME 1')
- plt.xlabel('Random Numbers Generated')
- plt.ylabel('Relative Error(%)')
- plt.show()
- p = (0,1,2,3,4)
- l = (6,7,8,9,10)
- plt.plot (x1,mean_error_distance)
- plt.title ('32 BIT MULTIPLIER SCHEME 1')
- plt.xticks(p,l)
- plt.xlabel('Latency Parameter')
- plt.ylabel('Mean Error Distance')
- plt.show()
- plt.plot (x1,mean_relative_error_distance)
- plt.title ('32 BIT MULTIPLIER SCHEME 1')
- plt.xticks(p,l)
- plt.xlabel('Latency Parameter')
- plt.ylabel('Mean Relative Error Distance')
- plt.show()
- plt.plot (x1,normalized_error_distance)
- plt.title ('32 BIT MULTIPLIER SCHEME 1')
- plt.xticks(p,l)
- plt.xlabel('Latency Parameter')
- plt.ylabel('Normalized Error Distance ')
- plt.show()
- plt.plot (x1,normailzed_relative_error_distance)
- plt.title ('32 BIT MULTIPLIER SCHEME 1')
- plt.xticks(p,l)
- plt.xlabel('Latency Parameter')
- plt.ylabel('Normailzed Relative Error Distance')
- plt.show()
- plt.plot (x1,acceptance_prob)
- plt.title ('32 BIT MULTIPLIER SCHEME 1')
- plt.xticks(p,l)
- plt.xlabel('Latency Parameter')
- plt.ylabel('Acceptance Probability(1% Relative Error)')
- plt.show()
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