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Twisted Edwards support. 

Signed-off-by: Daira Hopwood <daira@jacaranda.org>
This commit is contained in:
Daira Hopwood 2017-11-02 05:54:59 +00:00
parent c12abad1e9
commit 3513811d0f
1 changed files with 17 additions and 9 deletions
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26
verify.sage
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@ -253,15 +253,23 @@ def verify():
x1 = k(x1)
y1 = k(y1)
if shape == 'edwards':
if shape in ('edwards', 'tedwards'):
d = Integer(readfile('d'))
writefile('verify-shape','Edwards\n')
writefile('verify-equation','x^2+y^2 = 1%+dx^2y^2\n' % d)
a = 1
if shape == 'tedwards':
a = Integer(readfile('a'))
writefile('verify-shape','Twisted Edwards\n')
writefile('verify-equation','%sx^2+y^2 = 1%+dx^2y^2\n' % (a, d))
if a == 1:
writefile('verify-shape','Edwards\n')
writefile('verify-equation','x^2+y^2 = 1%+dx^2y^2\n' % d)
a = k(a)
d = k(d)
elliptic = d*(1-d)
level0 = x0^2+y0^2-1-d*x0^2*y0^2
level1 = x1^2+y1^2-1-d*x1^2*y1^2
elliptic = a*d*(a-d)
level0 = a*x0^2+y0^2-1-d*x0^2*y0^2
level1 = a*x1^2+y1^2-1-d*x1^2*y1^2
if shape == 'montgomery':
writefile('verify-shape','Montgomery\n')
@ -295,9 +303,9 @@ def verify():
safebase &= requirement('verify-isoncurve0',level0 == 0)
safebase &= requirement('verify-isoncurve1',level1 == 0)
if shape == 'edwards':
A = 2*(1+d)/(1-d)
B = 4/(1-d)
if shape in ('edwards', 'tedwards'):
A = 2*(a+d)/(a-d)
B = 4/(a-d)
x0,y0 = (1+y0)/(1-y0),((1+y0)/(1-y0))/x0
x1,y1 = (1+y1)/(1-y1),((1+y1)/(1-y1))/x1
shape = 'montgomery'