123 lines
1.8 KiB
Ruby
Executable File
123 lines
1.8 KiB
Ruby
Executable File
#!/usr/bin/ruby
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#####################################
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#
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# Marcin Woźniak
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# s434812
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#
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# Last edit: 27-10-2020
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#
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#####################################
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#!/usr/bin/ruby
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require 'prime'
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require 'openssl'
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require 'securerandom'
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require 'prime'
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def extended_euklides(a, b)
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return 1, 0 if b == 0
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q, r = a.divmod b
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s, t = extended_euklides(b, r)
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return t, s - q * t
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end
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## Zad. 1.1
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def random_gen_Zn(n,k)
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#b = k.to_s(2).count "[0-1]"
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#r = SecureRandom.random_number(n)
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#x = r.to_s(2).count "[0-1]"
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#until x != b do
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# #if r < n then
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# r = SecureRandom.random_number(n)
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# x = r.to_s(2).count "[0-1]"
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# puts r
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# puts x
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# #end
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#end
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#return r
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if 2**(k-1) < n && k > 0 then
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if k == 1 then
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min = 0
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max = 1
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else
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min = 2**(k-1)
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max = (2**k)-1
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end
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end
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r = rand(min..max)
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while true do
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ra = rand(min..max)
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if ra < n then
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break
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end
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end
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return ra
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end
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## Zad. 1.2
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def reciprocal_Phi_n(n,b)
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u = extended_euklides(n,b)[0]
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v = extended_euklides(n,b)[1]
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if v % n == 0 then
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return v
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else
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return u
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end
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end
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## Zad. 1.3
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def betterExponentiation(x,k,n)
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b = x.to_s(2)
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l = b.count "[0-1]"
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y = 1
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i = l - 1
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for j in 1..i
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y = y**2 % n
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if b[-1*(j)]
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y = y * x % n
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end
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end
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return y
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end
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## Zad. 1.4
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def remSqEuler(a,p)
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ans = betterExponentiation(a,(p-1)/2,p)
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if ans > 0 && Prime.prime?(p) then
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return true
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else
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return false
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end
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end
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## Zad. 1.5
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def squareRootFp(a)
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p = 3 % 4
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if remSqEuler(a,p) then
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bp = betterExponentiation(a,(p+1)/4,4) % 4
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bm = -1 * bp
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return bp,bm
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end
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end
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#puts extended_euklides(10,13)
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puts random_gen_Zn(50,3)
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#puts reciprocal_Phi_n(10,13)
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#puts betterExponentiation(112218876,2,10)
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#puts remSqEuler(3,13)
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#puts squareRootFp(13)
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