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| author | J08nY | 2020-02-21 15:58:14 +0100 |
|---|---|---|
| committer | J08nY | 2020-02-21 15:58:14 +0100 |
| commit | 18a4f5b2837513aebf6a5b2d86911a004b9e7650 (patch) | |
| tree | 224ccd447eb81d3a393724e8087e59ab7b11497b /pyecsca/ec/efd | |
| parent | c2d2771a0ed5e4462962f603b8b0e93a88f188a3 (diff) | |
| download | pyecsca-18a4f5b2837513aebf6a5b2d86911a004b9e7650.tar.gz pyecsca-18a4f5b2837513aebf6a5b2d86911a004b9e7650.tar.zst pyecsca-18a4f5b2837513aebf6a5b2d86911a004b9e7650.zip | |
Add unified parameter to formulas that are strongly unified.
Diffstat (limited to 'pyecsca/ec/efd')
109 files changed, 109 insertions, 0 deletions
diff --git a/pyecsca/ec/efd/edwards/inverted/addition/add-2007-bl b/pyecsca/ec/efd/edwards/inverted/addition/add-2007-bl index f2a8b68..5cce401 100644 --- a/pyecsca/ec/efd/edwards/inverted/addition/add-2007-bl +++ b/pyecsca/ec/efd/edwards/inverted/addition/add-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified compute A = Z1 Z2 compute B = d A^2 compute C = X1 X2 diff --git a/pyecsca/ec/efd/edwards/inverted/addition/add-20080225-hwcd b/pyecsca/ec/efd/edwards/inverted/addition/add-20080225-hwcd index fcd4f55..b1a2e19 100644 --- a/pyecsca/ec/efd/edwards/inverted/addition/add-20080225-hwcd +++ b/pyecsca/ec/efd/edwards/inverted/addition/add-20080225-hwcd @@ -1,4 +1,5 @@ source 2008.02.25 Hisil--Wong--Carter--Dawson, page 8 +unified compute A = X1 Z2 compute B = Y1 Z2 compute C = Z1 X2 diff --git a/pyecsca/ec/efd/edwards/inverted/addition/madd-2007-bl b/pyecsca/ec/efd/edwards/inverted/addition/madd-2007-bl index d690f62..621c9f1 100644 --- a/pyecsca/ec/efd/edwards/inverted/addition/madd-2007-bl +++ b/pyecsca/ec/efd/edwards/inverted/addition/madd-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified assume Z2 = 1 compute A = Z1 compute B = d A^2 diff --git a/pyecsca/ec/efd/edwards/inverted/addition/madd-20080225-hwcd b/pyecsca/ec/efd/edwards/inverted/addition/madd-20080225-hwcd index 08bd765..e0a3370 100644 --- a/pyecsca/ec/efd/edwards/inverted/addition/madd-20080225-hwcd +++ b/pyecsca/ec/efd/edwards/inverted/addition/madd-20080225-hwcd @@ -1,4 +1,5 @@ source 2008.02.25 Hisil--Wong--Carter--Dawson, page 8 +unified assume Z2 = 1 compute A = X1 compute B = Y1 diff --git a/pyecsca/ec/efd/edwards/inverted/addition/mmadd-2007-bl b/pyecsca/ec/efd/edwards/inverted/addition/mmadd-2007-bl index d333914..c14f6d2 100644 --- a/pyecsca/ec/efd/edwards/inverted/addition/mmadd-2007-bl +++ b/pyecsca/ec/efd/edwards/inverted/addition/mmadd-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified assume Z1 = 1 assume Z2 = 1 compute C = X1 X2 diff --git a/pyecsca/ec/efd/edwards/inverted/addition/xmadd-2007-bl b/pyecsca/ec/efd/edwards/inverted/addition/xmadd-2007-bl index 392d01c..0a5226a 100644 --- a/pyecsca/ec/efd/edwards/inverted/addition/xmadd-2007-bl +++ b/pyecsca/ec/efd/edwards/inverted/addition/xmadd-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified assume X2 = 1 compute A = Z1 Z2 compute B = d A^2 diff --git a/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl b/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl index 3cc1886..49d14c7 100644 --- a/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl +++ b/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified compute A = Z1 Z2 compute B = A^2 compute C = X1 X2 diff --git a/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl-2 b/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl-2 index 449fde4..1d9cd2f 100644 --- a/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl-2 +++ b/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl-2 @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified compute R1 = X1 compute R2 = Y1 compute R3 = Z1 diff --git a/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl-3 b/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl-3 index 33e49ea..f89c161 100644 --- a/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl-3 +++ b/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl-3 @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified parameter c2 assume c2 = 2*c compute A = Z1 Z2 diff --git a/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl-4 b/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl-4 index ab868e1..0745da9 100644 --- a/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl-4 +++ b/pyecsca/ec/efd/edwards/projective/addition/add-2007-bl-4 @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified parameter i assume i^2 = -1 compute iX2 = i X2 diff --git a/pyecsca/ec/efd/edwards/projective/addition/add-20080225-hwcd b/pyecsca/ec/efd/edwards/projective/addition/add-20080225-hwcd index dc4e163..ad7188e 100644 --- a/pyecsca/ec/efd/edwards/projective/addition/add-20080225-hwcd +++ b/pyecsca/ec/efd/edwards/projective/addition/add-20080225-hwcd @@ -1,4 +1,5 @@ source 2008.02.25 Hisil--Wong--Carter--Dawson, page 8 +unified parameter k assume k*c = 1 compute A = X1 Z2 diff --git a/pyecsca/ec/efd/edwards/projective/addition/add-20090311-hwcd b/pyecsca/ec/efd/edwards/projective/addition/add-20090311-hwcd index c3f6ac3..bdfb3fb 100644 --- a/pyecsca/ec/efd/edwards/projective/addition/add-20090311-hwcd +++ b/pyecsca/ec/efd/edwards/projective/addition/add-20090311-hwcd @@ -1,4 +1,5 @@ source 2009.03.11 Hisil--Wong--Carter--Dawson, after formula (17), plus denominator elimination +unified parameter k assume k*c = 1 compute R1 = X2 Y2 diff --git a/pyecsca/ec/efd/edwards/projective/addition/madd-2007-bl b/pyecsca/ec/efd/edwards/projective/addition/madd-2007-bl index 00bc0f2..72771c3 100644 --- a/pyecsca/ec/efd/edwards/projective/addition/madd-2007-bl +++ b/pyecsca/ec/efd/edwards/projective/addition/madd-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified assume Z2 = 1 compute B = Z1^2 compute C = X1 X2 diff --git a/pyecsca/ec/efd/edwards/projective/addition/madd-2007-bl-2 b/pyecsca/ec/efd/edwards/projective/addition/madd-2007-bl-2 index 080b055..f309991 100644 --- a/pyecsca/ec/efd/edwards/projective/addition/madd-2007-bl-2 +++ b/pyecsca/ec/efd/edwards/projective/addition/madd-2007-bl-2 @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified assume Z2 = 1 compute R1 = X1 compute R2 = Y1 diff --git a/pyecsca/ec/efd/edwards/projective/addition/madd-2007-bl-3 b/pyecsca/ec/efd/edwards/projective/addition/madd-2007-bl-3 index a67df7a..149ab61 100644 --- a/pyecsca/ec/efd/edwards/projective/addition/madd-2007-bl-3 +++ b/pyecsca/ec/efd/edwards/projective/addition/madd-2007-bl-3 @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified parameter c2 assume c2 = 2*c assume Z2 = 1 diff --git a/pyecsca/ec/efd/edwards/projective/addition/madd-20080225-hwcd b/pyecsca/ec/efd/edwards/projective/addition/madd-20080225-hwcd index 6d4da4b..fde623e 100644 --- a/pyecsca/ec/efd/edwards/projective/addition/madd-20080225-hwcd +++ b/pyecsca/ec/efd/edwards/projective/addition/madd-20080225-hwcd @@ -1,4 +1,5 @@ source 2008.02.25 Hisil--Wong--Carter--Dawson, page 8 +unified parameter k assume k*c = 1 assume Z2 = 1 diff --git a/pyecsca/ec/efd/edwards/projective/addition/mmadd-2007-bl b/pyecsca/ec/efd/edwards/projective/addition/mmadd-2007-bl index 68a467d..ff09dd2 100644 --- a/pyecsca/ec/efd/edwards/projective/addition/mmadd-2007-bl +++ b/pyecsca/ec/efd/edwards/projective/addition/mmadd-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified assume Z1 = 1 assume Z2 = 1 compute C = X1 X2 diff --git a/pyecsca/ec/efd/edwards/projective/addition/xmadd-2007-hcd b/pyecsca/ec/efd/edwards/projective/addition/xmadd-2007-hcd index eb0ab17..c24559e 100644 --- a/pyecsca/ec/efd/edwards/projective/addition/xmadd-2007-hcd +++ b/pyecsca/ec/efd/edwards/projective/addition/xmadd-2007-hcd @@ -1,4 +1,5 @@ source 2007 Hisil--Carter--Dawson +unified assume X2 = 1 compute T0 = X1 Y2 compute T0 = T0+Y1 diff --git a/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1986-cc b/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1986-cc index af536a1..e3f4775 100644 --- a/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1986-cc +++ b/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1986-cc @@ -1,4 +1,5 @@ source 1986 Chudnovsky--Chudnovsky "Sequences of numbers generated by addition in formal groups and new primality and factorization tests", page 414, formula (4.3i) +unified compute U1 = X1 Z2^2 compute U2 = X2 Z1^2 compute S1 = Y1 Z2^3 diff --git a/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1998-cmo b/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1998-cmo index b312a77..681a723 100644 --- a/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1998-cmo +++ b/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1998-cmo @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (5) +unified compute U1 = X1 Z2^2 compute U2 = X2 Z1^2 compute S1 = Y1 Z2^3 diff --git a/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1998-cmo-2 b/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1998-cmo-2 index acef19d..9d3659a 100644 --- a/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1998-cmo-2 +++ b/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1998-cmo-2 @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (5), plus common-subexpression elimination +unified compute Z1Z1 = Z1^2 compute Z2Z2 = Z2^2 compute U1 = X1 Z2Z2 diff --git a/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1998-hnm b/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1998-hnm index ebace0d..36c775f 100644 --- a/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1998-hnm +++ b/pyecsca/ec/efd/shortw/jacobian-0/addition/add-1998-hnm @@ -1,4 +1,5 @@ source 1998 Hasegawa--Nakajima--Matsui, page 188 +unified parameter half assume half*2=1 compute R1 = X1 diff --git a/pyecsca/ec/efd/shortw/jacobian-0/addition/add-2001-b b/pyecsca/ec/efd/shortw/jacobian-0/addition/add-2001-b index b6a403d..0ae3011 100644 --- a/pyecsca/ec/efd/shortw/jacobian-0/addition/add-2001-b +++ b/pyecsca/ec/efd/shortw/jacobian-0/addition/add-2001-b @@ -1,4 +1,5 @@ source 2001 Bernstein http://cr.yp.to/nistp224.html opt-idea53.c ecadd +unified compute ZZ1 = Z1^2 compute ZZZ1 = Z1 ZZ1 compute ZZ2 = Z2^2 diff --git a/pyecsca/ec/efd/shortw/jacobian-0/addition/add-2007-bl b/pyecsca/ec/efd/shortw/jacobian-0/addition/add-2007-bl index dc8af68..29a4d50 100644 --- a/pyecsca/ec/efd/shortw/jacobian-0/addition/add-2007-bl +++ b/pyecsca/ec/efd/shortw/jacobian-0/addition/add-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange; note that the improvement from 12M+4S to 11M+5S was already mentioned in 2001 Bernstein http://cr.yp.to/talks.html#2001.10.29 +unified compute Z1Z1 = Z1^2 compute Z2Z2 = Z2^2 compute U1 = X1 Z2Z2 diff --git a/pyecsca/ec/efd/shortw/jacobian-0/addition/madd b/pyecsca/ec/efd/shortw/jacobian-0/addition/madd index c4ced5f..a7486ca 100644 --- a/pyecsca/ec/efd/shortw/jacobian-0/addition/madd +++ b/pyecsca/ec/efd/shortw/jacobian-0/addition/madd @@ -1,4 +1,5 @@ assume Z2=1 +unified compute Z1Z1 = Z1^2 compute U2 = X2 Z1Z1 compute S2 = Y2 Z1 Z1Z1 diff --git a/pyecsca/ec/efd/shortw/jacobian-0/addition/madd-2004-hmv b/pyecsca/ec/efd/shortw/jacobian-0/addition/madd-2004-hmv index c6904b6..f47ecf9 100644 --- a/pyecsca/ec/efd/shortw/jacobian-0/addition/madd-2004-hmv +++ b/pyecsca/ec/efd/shortw/jacobian-0/addition/madd-2004-hmv @@ -1,4 +1,5 @@ source 2004 Hankerson--Menezes--Vanstone, page 91 +unified assume Z2=1 compute T1 = Z1^2 compute T2 = T1 Z1 diff --git a/pyecsca/ec/efd/shortw/jacobian-0/addition/madd-2007-bl b/pyecsca/ec/efd/shortw/jacobian-0/addition/madd-2007-bl index 92a97af..6e4a6f1 100644 --- a/pyecsca/ec/efd/shortw/jacobian-0/addition/madd-2007-bl +++ b/pyecsca/ec/efd/shortw/jacobian-0/addition/madd-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified assume Z2=1 compute Z1Z1 = Z1^2 compute U2 = X2 Z1Z1 diff --git a/pyecsca/ec/efd/shortw/jacobian-0/addition/madd-2008-g b/pyecsca/ec/efd/shortw/jacobian-0/addition/madd-2008-g index 7c5f660..0beec69 100644 --- a/pyecsca/ec/efd/shortw/jacobian-0/addition/madd-2008-g +++ b/pyecsca/ec/efd/shortw/jacobian-0/addition/madd-2008-g @@ -1,4 +1,5 @@ source 2008 Giessmann +unified assume Z2=1 compute T1 = Z1^2 compute T2 = T1 Z1 diff --git a/pyecsca/ec/efd/shortw/jacobian-0/addition/mmadd-2007-bl b/pyecsca/ec/efd/shortw/jacobian-0/addition/mmadd-2007-bl index e11d9e4..73dbfbb 100644 --- a/pyecsca/ec/efd/shortw/jacobian-0/addition/mmadd-2007-bl +++ b/pyecsca/ec/efd/shortw/jacobian-0/addition/mmadd-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified assume Z1=1 assume Z2=1 compute H = X2-X1 diff --git a/pyecsca/ec/efd/shortw/jacobian-0/addition/zadd-2007-m b/pyecsca/ec/efd/shortw/jacobian-0/addition/zadd-2007-m index 417ef26..589d783 100644 --- a/pyecsca/ec/efd/shortw/jacobian-0/addition/zadd-2007-m +++ b/pyecsca/ec/efd/shortw/jacobian-0/addition/zadd-2007-m @@ -1,4 +1,5 @@ source 2007 Meloni "New point addition formulae for ECC applications", page 192 +unified assume Z1 = Z2 compute A = (X2-X1)^2 compute B = X1 A diff --git a/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1986-cc b/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1986-cc index af536a1..e3f4775 100644 --- a/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1986-cc +++ b/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1986-cc @@ -1,4 +1,5 @@ source 1986 Chudnovsky--Chudnovsky "Sequences of numbers generated by addition in formal groups and new primality and factorization tests", page 414, formula (4.3i) +unified compute U1 = X1 Z2^2 compute U2 = X2 Z1^2 compute S1 = Y1 Z2^3 diff --git a/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1998-cmo b/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1998-cmo index b312a77..681a723 100644 --- a/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1998-cmo +++ b/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1998-cmo @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (5) +unified compute U1 = X1 Z2^2 compute U2 = X2 Z1^2 compute S1 = Y1 Z2^3 diff --git a/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1998-cmo-2 b/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1998-cmo-2 index acef19d..9d3659a 100644 --- a/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1998-cmo-2 +++ b/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1998-cmo-2 @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (5), plus common-subexpression elimination +unified compute Z1Z1 = Z1^2 compute Z2Z2 = Z2^2 compute U1 = X1 Z2Z2 diff --git a/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1998-hnm b/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1998-hnm index ebace0d..36c775f 100644 --- a/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1998-hnm +++ b/pyecsca/ec/efd/shortw/jacobian-3/addition/add-1998-hnm @@ -1,4 +1,5 @@ source 1998 Hasegawa--Nakajima--Matsui, page 188 +unified parameter half assume half*2=1 compute R1 = X1 diff --git a/pyecsca/ec/efd/shortw/jacobian-3/addition/add-2001-b b/pyecsca/ec/efd/shortw/jacobian-3/addition/add-2001-b index b6a403d..0ae3011 100644 --- a/pyecsca/ec/efd/shortw/jacobian-3/addition/add-2001-b +++ b/pyecsca/ec/efd/shortw/jacobian-3/addition/add-2001-b @@ -1,4 +1,5 @@ source 2001 Bernstein http://cr.yp.to/nistp224.html opt-idea53.c ecadd +unified compute ZZ1 = Z1^2 compute ZZZ1 = Z1 ZZ1 compute ZZ2 = Z2^2 diff --git a/pyecsca/ec/efd/shortw/jacobian-3/addition/add-2007-bl b/pyecsca/ec/efd/shortw/jacobian-3/addition/add-2007-bl index dc8af68..29a4d50 100644 --- a/pyecsca/ec/efd/shortw/jacobian-3/addition/add-2007-bl +++ b/pyecsca/ec/efd/shortw/jacobian-3/addition/add-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange; note that the improvement from 12M+4S to 11M+5S was already mentioned in 2001 Bernstein http://cr.yp.to/talks.html#2001.10.29 +unified compute Z1Z1 = Z1^2 compute Z2Z2 = Z2^2 compute U1 = X1 Z2Z2 diff --git a/pyecsca/ec/efd/shortw/jacobian-3/addition/madd b/pyecsca/ec/efd/shortw/jacobian-3/addition/madd index c4ced5f..a7486ca 100644 --- a/pyecsca/ec/efd/shortw/jacobian-3/addition/madd +++ b/pyecsca/ec/efd/shortw/jacobian-3/addition/madd @@ -1,4 +1,5 @@ assume Z2=1 +unified compute Z1Z1 = Z1^2 compute U2 = X2 Z1Z1 compute S2 = Y2 Z1 Z1Z1 diff --git a/pyecsca/ec/efd/shortw/jacobian-3/addition/madd-2004-hmv b/pyecsca/ec/efd/shortw/jacobian-3/addition/madd-2004-hmv index c6904b6..f47ecf9 100644 --- a/pyecsca/ec/efd/shortw/jacobian-3/addition/madd-2004-hmv +++ b/pyecsca/ec/efd/shortw/jacobian-3/addition/madd-2004-hmv @@ -1,4 +1,5 @@ source 2004 Hankerson--Menezes--Vanstone, page 91 +unified assume Z2=1 compute T1 = Z1^2 compute T2 = T1 Z1 diff --git a/pyecsca/ec/efd/shortw/jacobian-3/addition/madd-2007-bl b/pyecsca/ec/efd/shortw/jacobian-3/addition/madd-2007-bl index 92a97af..6e4a6f1 100644 --- a/pyecsca/ec/efd/shortw/jacobian-3/addition/madd-2007-bl +++ b/pyecsca/ec/efd/shortw/jacobian-3/addition/madd-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified assume Z2=1 compute Z1Z1 = Z1^2 compute U2 = X2 Z1Z1 diff --git a/pyecsca/ec/efd/shortw/jacobian-3/addition/madd-2008-g b/pyecsca/ec/efd/shortw/jacobian-3/addition/madd-2008-g index 7c5f660..0beec69 100644 --- a/pyecsca/ec/efd/shortw/jacobian-3/addition/madd-2008-g +++ b/pyecsca/ec/efd/shortw/jacobian-3/addition/madd-2008-g @@ -1,4 +1,5 @@ source 2008 Giessmann +unified assume Z2=1 compute T1 = Z1^2 compute T2 = T1 Z1 diff --git a/pyecsca/ec/efd/shortw/jacobian-3/addition/mmadd-2007-bl b/pyecsca/ec/efd/shortw/jacobian-3/addition/mmadd-2007-bl index e11d9e4..73dbfbb 100644 --- a/pyecsca/ec/efd/shortw/jacobian-3/addition/mmadd-2007-bl +++ b/pyecsca/ec/efd/shortw/jacobian-3/addition/mmadd-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified assume Z1=1 assume Z2=1 compute H = X2-X1 diff --git a/pyecsca/ec/efd/shortw/jacobian-3/addition/zadd-2007-m b/pyecsca/ec/efd/shortw/jacobian-3/addition/zadd-2007-m index 417ef26..589d783 100644 --- a/pyecsca/ec/efd/shortw/jacobian-3/addition/zadd-2007-m +++ b/pyecsca/ec/efd/shortw/jacobian-3/addition/zadd-2007-m @@ -1,4 +1,5 @@ source 2007 Meloni "New point addition formulae for ECC applications", page 192 +unified assume Z1 = Z2 compute A = (X2-X1)^2 compute B = X1 A diff --git a/pyecsca/ec/efd/shortw/jacobian/addition/add-1986-cc b/pyecsca/ec/efd/shortw/jacobian/addition/add-1986-cc index af536a1..e3f4775 100644 --- a/pyecsca/ec/efd/shortw/jacobian/addition/add-1986-cc +++ b/pyecsca/ec/efd/shortw/jacobian/addition/add-1986-cc @@ -1,4 +1,5 @@ source 1986 Chudnovsky--Chudnovsky "Sequences of numbers generated by addition in formal groups and new primality and factorization tests", page 414, formula (4.3i) +unified compute U1 = X1 Z2^2 compute U2 = X2 Z1^2 compute S1 = Y1 Z2^3 diff --git a/pyecsca/ec/efd/shortw/jacobian/addition/add-1998-cmo b/pyecsca/ec/efd/shortw/jacobian/addition/add-1998-cmo index b312a77..681a723 100644 --- a/pyecsca/ec/efd/shortw/jacobian/addition/add-1998-cmo +++ b/pyecsca/ec/efd/shortw/jacobian/addition/add-1998-cmo @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (5) +unified compute U1 = X1 Z2^2 compute U2 = X2 Z1^2 compute S1 = Y1 Z2^3 diff --git a/pyecsca/ec/efd/shortw/jacobian/addition/add-1998-cmo-2 b/pyecsca/ec/efd/shortw/jacobian/addition/add-1998-cmo-2 index acef19d..9d3659a 100644 --- a/pyecsca/ec/efd/shortw/jacobian/addition/add-1998-cmo-2 +++ b/pyecsca/ec/efd/shortw/jacobian/addition/add-1998-cmo-2 @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (5), plus common-subexpression elimination +unified compute Z1Z1 = Z1^2 compute Z2Z2 = Z2^2 compute U1 = X1 Z2Z2 diff --git a/pyecsca/ec/efd/shortw/jacobian/addition/add-1998-hnm b/pyecsca/ec/efd/shortw/jacobian/addition/add-1998-hnm index ebace0d..36c775f 100644 --- a/pyecsca/ec/efd/shortw/jacobian/addition/add-1998-hnm +++ b/pyecsca/ec/efd/shortw/jacobian/addition/add-1998-hnm @@ -1,4 +1,5 @@ source 1998 Hasegawa--Nakajima--Matsui, page 188 +unified parameter half assume half*2=1 compute R1 = X1 diff --git a/pyecsca/ec/efd/shortw/jacobian/addition/add-2001-b b/pyecsca/ec/efd/shortw/jacobian/addition/add-2001-b index b6a403d..0ae3011 100644 --- a/pyecsca/ec/efd/shortw/jacobian/addition/add-2001-b +++ b/pyecsca/ec/efd/shortw/jacobian/addition/add-2001-b @@ -1,4 +1,5 @@ source 2001 Bernstein http://cr.yp.to/nistp224.html opt-idea53.c ecadd +unified compute ZZ1 = Z1^2 compute ZZZ1 = Z1 ZZ1 compute ZZ2 = Z2^2 diff --git a/pyecsca/ec/efd/shortw/jacobian/addition/add-2007-bl b/pyecsca/ec/efd/shortw/jacobian/addition/add-2007-bl index dc8af68..29a4d50 100644 --- a/pyecsca/ec/efd/shortw/jacobian/addition/add-2007-bl +++ b/pyecsca/ec/efd/shortw/jacobian/addition/add-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange; note that the improvement from 12M+4S to 11M+5S was already mentioned in 2001 Bernstein http://cr.yp.to/talks.html#2001.10.29 +unified compute Z1Z1 = Z1^2 compute Z2Z2 = Z2^2 compute U1 = X1 Z2Z2 diff --git a/pyecsca/ec/efd/shortw/jacobian/addition/madd b/pyecsca/ec/efd/shortw/jacobian/addition/madd index c4ced5f..a7486ca 100644 --- a/pyecsca/ec/efd/shortw/jacobian/addition/madd +++ b/pyecsca/ec/efd/shortw/jacobian/addition/madd @@ -1,4 +1,5 @@ assume Z2=1 +unified compute Z1Z1 = Z1^2 compute U2 = X2 Z1Z1 compute S2 = Y2 Z1 Z1Z1 diff --git a/pyecsca/ec/efd/shortw/jacobian/addition/madd-2004-hmv b/pyecsca/ec/efd/shortw/jacobian/addition/madd-2004-hmv index c6904b6..f47ecf9 100644 --- a/pyecsca/ec/efd/shortw/jacobian/addition/madd-2004-hmv +++ b/pyecsca/ec/efd/shortw/jacobian/addition/madd-2004-hmv @@ -1,4 +1,5 @@ source 2004 Hankerson--Menezes--Vanstone, page 91 +unified assume Z2=1 compute T1 = Z1^2 compute T2 = T1 Z1 diff --git a/pyecsca/ec/efd/shortw/jacobian/addition/madd-2007-bl b/pyecsca/ec/efd/shortw/jacobian/addition/madd-2007-bl index 92a97af..6e4a6f1 100644 --- a/pyecsca/ec/efd/shortw/jacobian/addition/madd-2007-bl +++ b/pyecsca/ec/efd/shortw/jacobian/addition/madd-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified assume Z2=1 compute Z1Z1 = Z1^2 compute U2 = X2 Z1Z1 diff --git a/pyecsca/ec/efd/shortw/jacobian/addition/madd-2008-g b/pyecsca/ec/efd/shortw/jacobian/addition/madd-2008-g index 7c5f660..0beec69 100644 --- a/pyecsca/ec/efd/shortw/jacobian/addition/madd-2008-g +++ b/pyecsca/ec/efd/shortw/jacobian/addition/madd-2008-g @@ -1,4 +1,5 @@ source 2008 Giessmann +unified assume Z2=1 compute T1 = Z1^2 compute T2 = T1 Z1 diff --git a/pyecsca/ec/efd/shortw/jacobian/addition/mmadd-2007-bl b/pyecsca/ec/efd/shortw/jacobian/addition/mmadd-2007-bl index e11d9e4..73dbfbb 100644 --- a/pyecsca/ec/efd/shortw/jacobian/addition/mmadd-2007-bl +++ b/pyecsca/ec/efd/shortw/jacobian/addition/mmadd-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified assume Z1=1 assume Z2=1 compute H = X2-X1 diff --git a/pyecsca/ec/efd/shortw/jacobian/addition/zadd-2007-m b/pyecsca/ec/efd/shortw/jacobian/addition/zadd-2007-m index 417ef26..589d783 100644 --- a/pyecsca/ec/efd/shortw/jacobian/addition/zadd-2007-m +++ b/pyecsca/ec/efd/shortw/jacobian/addition/zadd-2007-m @@ -1,4 +1,5 @@ source 2007 Meloni "New point addition formulae for ECC applications", page 192 +unified assume Z1 = Z2 compute A = (X2-X1)^2 compute B = X1 A diff --git a/pyecsca/ec/efd/shortw/modified/addition/add-1998-cmo-2 b/pyecsca/ec/efd/shortw/modified/addition/add-1998-cmo-2 index 9801907..a21fc64 100644 --- a/pyecsca/ec/efd/shortw/modified/addition/add-1998-cmo-2 +++ b/pyecsca/ec/efd/shortw/modified/addition/add-1998-cmo-2 @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (9), plus common-subexpression elimination +unified compute ZZ1 = Z1^2 compute ZZ2 = Z2^2 compute U1 = X1 ZZ2 diff --git a/pyecsca/ec/efd/shortw/modified/addition/add-2009-bl b/pyecsca/ec/efd/shortw/modified/addition/add-2009-bl index 34f85a3..1f9edb0 100644 --- a/pyecsca/ec/efd/shortw/modified/addition/add-2009-bl +++ b/pyecsca/ec/efd/shortw/modified/addition/add-2009-bl @@ -1,4 +1,5 @@ source 2009.04.01 Bernstein--Lange +unified compute ZZ1 = Z1^2 compute ZZ2 = Z2^2 compute U1 = X1 ZZ2 diff --git a/pyecsca/ec/efd/shortw/modified/addition/madd-2009-bl b/pyecsca/ec/efd/shortw/modified/addition/madd-2009-bl index 24784b0..fc0a386 100644 --- a/pyecsca/ec/efd/shortw/modified/addition/madd-2009-bl +++ b/pyecsca/ec/efd/shortw/modified/addition/madd-2009-bl @@ -1,4 +1,5 @@ source 2009.04.27 Bernstein--Lange +unified assume Z2 = 1 compute ZZ1 = Z1^2 compute H = X2 ZZ1-X1 diff --git a/pyecsca/ec/efd/shortw/modified/addition/mmadd-2009-bl b/pyecsca/ec/efd/shortw/modified/addition/mmadd-2009-bl index 914cc1a..b87ffd4 100644 --- a/pyecsca/ec/efd/shortw/modified/addition/mmadd-2009-bl +++ b/pyecsca/ec/efd/shortw/modified/addition/mmadd-2009-bl @@ -1,4 +1,5 @@ source 2009.04.27 Bernstein--Lange +unified assume Z1 = 1 assume Z2 = 1 compute H = X2-X1 diff --git a/pyecsca/ec/efd/shortw/projective-1/addition/add-1998-cmo b/pyecsca/ec/efd/shortw/projective-1/addition/add-1998-cmo index 90ac7d9..c16503b 100644 --- a/pyecsca/ec/efd/shortw/projective-1/addition/add-1998-cmo +++ b/pyecsca/ec/efd/shortw/projective-1/addition/add-1998-cmo @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (3) +unified compute u = Y2 Z1-Y1 Z2 compute v = X2 Z1-X1 Z2 compute A = u^2 Z1 Z2-v^3-2 v^2 X1 Z2 diff --git a/pyecsca/ec/efd/shortw/projective-1/addition/add-1998-cmo-2 b/pyecsca/ec/efd/shortw/projective-1/addition/add-1998-cmo-2 index 8aabe7d..882e46c 100644 --- a/pyecsca/ec/efd/shortw/projective-1/addition/add-1998-cmo-2 +++ b/pyecsca/ec/efd/shortw/projective-1/addition/add-1998-cmo-2 @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (3), plus common-subexpression elimination +unified compute Y1Z2 = Y1 Z2 compute X1Z2 = X1 Z2 compute Z1Z2 = Z1 Z2 diff --git a/pyecsca/ec/efd/shortw/projective-1/addition/add-2002-bj b/pyecsca/ec/efd/shortw/projective-1/addition/add-2002-bj index 5ee1386..dcb3c31 100644 --- a/pyecsca/ec/efd/shortw/projective-1/addition/add-2002-bj +++ b/pyecsca/ec/efd/shortw/projective-1/addition/add-2002-bj @@ -1,4 +1,5 @@ source 2002 Brier--Joye "Weierstrass elliptic curves and side-channel attacks", page 339 +unified compute U1 = X1 Z2 compute U2 = X2 Z1 compute S1 = Y1 Z2 diff --git a/pyecsca/ec/efd/shortw/projective-1/addition/add-2002-bj-2 b/pyecsca/ec/efd/shortw/projective-1/addition/add-2002-bj-2 index f66570c..262f9f5 100644 --- a/pyecsca/ec/efd/shortw/projective-1/addition/add-2002-bj-2 +++ b/pyecsca/ec/efd/shortw/projective-1/addition/add-2002-bj-2 @@ -1,4 +1,5 @@ source 2002 Brier--Joye "Weierstrass elliptic curves and side-channel attacks", page 340 +unified appliesto projective-1 compute U1 = X1 Z2 compute U2 = X2 Z1 diff --git a/pyecsca/ec/efd/shortw/projective-1/addition/add-2007-bl b/pyecsca/ec/efd/shortw/projective-1/addition/add-2007-bl index 59bb96e..8995c9c 100644 --- a/pyecsca/ec/efd/shortw/projective-1/addition/add-2007-bl +++ b/pyecsca/ec/efd/shortw/projective-1/addition/add-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified compute U1 = X1 Z2 compute U2 = X2 Z1 compute S1 = Y1 Z2 diff --git a/pyecsca/ec/efd/shortw/projective-1/addition/madd-1998-cmo b/pyecsca/ec/efd/shortw/projective-1/addition/madd-1998-cmo index b2e8a01..36fa78a 100644 --- a/pyecsca/ec/efd/shortw/projective-1/addition/madd-1998-cmo +++ b/pyecsca/ec/efd/shortw/projective-1/addition/madd-1998-cmo @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (3), plus common-subexpression elimination, plus Z2=1 +unified assume Z2 = 1 compute u = Y2 Z1-Y1 compute uu = u^2 diff --git a/pyecsca/ec/efd/shortw/projective-1/addition/mmadd-1998-cmo b/pyecsca/ec/efd/shortw/projective-1/addition/mmadd-1998-cmo index b2ed720..a62c90b 100644 --- a/pyecsca/ec/efd/shortw/projective-1/addition/mmadd-1998-cmo +++ b/pyecsca/ec/efd/shortw/projective-1/addition/mmadd-1998-cmo @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", plus Z1=1, plus Z2=1, plus common-subexpression elimination +unified assume Z1 = 1 assume Z2 = 1 compute u = Y2-Y1 diff --git a/pyecsca/ec/efd/shortw/projective-3/addition/add-1998-cmo b/pyecsca/ec/efd/shortw/projective-3/addition/add-1998-cmo index 90ac7d9..c16503b 100644 --- a/pyecsca/ec/efd/shortw/projective-3/addition/add-1998-cmo +++ b/pyecsca/ec/efd/shortw/projective-3/addition/add-1998-cmo @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (3) +unified compute u = Y2 Z1-Y1 Z2 compute v = X2 Z1-X1 Z2 compute A = u^2 Z1 Z2-v^3-2 v^2 X1 Z2 diff --git a/pyecsca/ec/efd/shortw/projective-3/addition/add-1998-cmo-2 b/pyecsca/ec/efd/shortw/projective-3/addition/add-1998-cmo-2 index 8aabe7d..882e46c 100644 --- a/pyecsca/ec/efd/shortw/projective-3/addition/add-1998-cmo-2 +++ b/pyecsca/ec/efd/shortw/projective-3/addition/add-1998-cmo-2 @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (3), plus common-subexpression elimination +unified compute Y1Z2 = Y1 Z2 compute X1Z2 = X1 Z2 compute Z1Z2 = Z1 Z2 diff --git a/pyecsca/ec/efd/shortw/projective-3/addition/add-2002-bj b/pyecsca/ec/efd/shortw/projective-3/addition/add-2002-bj index 5ee1386..dcb3c31 100644 --- a/pyecsca/ec/efd/shortw/projective-3/addition/add-2002-bj +++ b/pyecsca/ec/efd/shortw/projective-3/addition/add-2002-bj @@ -1,4 +1,5 @@ source 2002 Brier--Joye "Weierstrass elliptic curves and side-channel attacks", page 339 +unified compute U1 = X1 Z2 compute U2 = X2 Z1 compute S1 = Y1 Z2 diff --git a/pyecsca/ec/efd/shortw/projective-3/addition/add-2007-bl b/pyecsca/ec/efd/shortw/projective-3/addition/add-2007-bl index 59bb96e..8995c9c 100644 --- a/pyecsca/ec/efd/shortw/projective-3/addition/add-2007-bl +++ b/pyecsca/ec/efd/shortw/projective-3/addition/add-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified compute U1 = X1 Z2 compute U2 = X2 Z1 compute S1 = Y1 Z2 diff --git a/pyecsca/ec/efd/shortw/projective-3/addition/madd-1998-cmo b/pyecsca/ec/efd/shortw/projective-3/addition/madd-1998-cmo index b2e8a01..36fa78a 100644 --- a/pyecsca/ec/efd/shortw/projective-3/addition/madd-1998-cmo +++ b/pyecsca/ec/efd/shortw/projective-3/addition/madd-1998-cmo @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (3), plus common-subexpression elimination, plus Z2=1 +unified assume Z2 = 1 compute u = Y2 Z1-Y1 compute uu = u^2 diff --git a/pyecsca/ec/efd/shortw/projective-3/addition/mmadd-1998-cmo b/pyecsca/ec/efd/shortw/projective-3/addition/mmadd-1998-cmo index b2ed720..a62c90b 100644 --- a/pyecsca/ec/efd/shortw/projective-3/addition/mmadd-1998-cmo +++ b/pyecsca/ec/efd/shortw/projective-3/addition/mmadd-1998-cmo @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", plus Z1=1, plus Z2=1, plus common-subexpression elimination +unified assume Z1 = 1 assume Z2 = 1 compute u = Y2-Y1 diff --git a/pyecsca/ec/efd/shortw/projective/addition/add-1998-cmo b/pyecsca/ec/efd/shortw/projective/addition/add-1998-cmo index 90ac7d9..c16503b 100644 --- a/pyecsca/ec/efd/shortw/projective/addition/add-1998-cmo +++ b/pyecsca/ec/efd/shortw/projective/addition/add-1998-cmo @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (3) +unified compute u = Y2 Z1-Y1 Z2 compute v = X2 Z1-X1 Z2 compute A = u^2 Z1 Z2-v^3-2 v^2 X1 Z2 diff --git a/pyecsca/ec/efd/shortw/projective/addition/add-1998-cmo-2 b/pyecsca/ec/efd/shortw/projective/addition/add-1998-cmo-2 index 8aabe7d..882e46c 100644 --- a/pyecsca/ec/efd/shortw/projective/addition/add-1998-cmo-2 +++ b/pyecsca/ec/efd/shortw/projective/addition/add-1998-cmo-2 @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (3), plus common-subexpression elimination +unified compute Y1Z2 = Y1 Z2 compute X1Z2 = X1 Z2 compute Z1Z2 = Z1 Z2 diff --git a/pyecsca/ec/efd/shortw/projective/addition/add-2002-bj b/pyecsca/ec/efd/shortw/projective/addition/add-2002-bj index 5ee1386..dcb3c31 100644 --- a/pyecsca/ec/efd/shortw/projective/addition/add-2002-bj +++ b/pyecsca/ec/efd/shortw/projective/addition/add-2002-bj @@ -1,4 +1,5 @@ source 2002 Brier--Joye "Weierstrass elliptic curves and side-channel attacks", page 339 +unified compute U1 = X1 Z2 compute U2 = X2 Z1 compute S1 = Y1 Z2 diff --git a/pyecsca/ec/efd/shortw/projective/addition/add-2007-bl b/pyecsca/ec/efd/shortw/projective/addition/add-2007-bl index 59bb96e..8995c9c 100644 --- a/pyecsca/ec/efd/shortw/projective/addition/add-2007-bl +++ b/pyecsca/ec/efd/shortw/projective/addition/add-2007-bl @@ -1,4 +1,5 @@ source 2007 Bernstein--Lange +unified compute U1 = X1 Z2 compute U2 = X2 Z1 compute S1 = Y1 Z2 diff --git a/pyecsca/ec/efd/shortw/projective/addition/madd-1998-cmo b/pyecsca/ec/efd/shortw/projective/addition/madd-1998-cmo index b2e8a01..36fa78a 100644 --- a/pyecsca/ec/efd/shortw/projective/addition/madd-1998-cmo +++ b/pyecsca/ec/efd/shortw/projective/addition/madd-1998-cmo @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", formula (3), plus common-subexpression elimination, plus Z2=1 +unified assume Z2 = 1 compute u = Y2 Z1-Y1 compute uu = u^2 diff --git a/pyecsca/ec/efd/shortw/projective/addition/mmadd-1998-cmo b/pyecsca/ec/efd/shortw/projective/addition/mmadd-1998-cmo index b2ed720..a62c90b 100644 --- a/pyecsca/ec/efd/shortw/projective/addition/mmadd-1998-cmo +++ b/pyecsca/ec/efd/shortw/projective/addition/mmadd-1998-cmo @@ -1,4 +1,5 @@ source 1998 Cohen--Miyaji--Ono "Efficient elliptic curve exponentiation using mixed coordinates", plus Z1=1, plus Z2=1, plus common-subexpression elimination +unified assume Z1 = 1 assume Z2 = 1 compute u = Y2-Y1 diff --git a/pyecsca/ec/efd/shortw/w12-0/addition/add-2010-cln b/pyecsca/ec/efd/shortw/w12-0/addition/add-2010-cln index b89edf1..80de216 100644 --- a/pyecsca/ec/efd/shortw/w12-0/addition/add-2010-cln +++ b/pyecsca/ec/efd/shortw/w12-0/addition/add-2010-cln @@ -1,4 +1,5 @@ source 2010 Costello--Lange--Naehrig +unified compute A = Z1^2 compute B = Z2^2 compute C = (Z1 + Z2)^2-A-B diff --git a/pyecsca/ec/efd/shortw/w12-0/addition/madd-2010-cln b/pyecsca/ec/efd/shortw/w12-0/addition/madd-2010-cln index 741f21c..ee5fa5b 100644 --- a/pyecsca/ec/efd/shortw/w12-0/addition/madd-2010-cln +++ b/pyecsca/ec/efd/shortw/w12-0/addition/madd-2010-cln @@ -1,4 +1,5 @@ source 2010 Costello--Lange--Naehrig +unified assume Z2 = 1 compute A = Z1^2 compute E = X2 Z1 diff --git a/pyecsca/ec/efd/shortw/xyzz-3/addition/add-2008-s b/pyecsca/ec/efd/shortw/xyzz-3/addition/add-2008-s index a28b0ab..ffa7bf0 100644 --- a/pyecsca/ec/efd/shortw/xyzz-3/addition/add-2008-s +++ b/pyecsca/ec/efd/shortw/xyzz-3/addition/add-2008-s @@ -1,4 +1,5 @@ source 2008 Sutherland +unified compute U1 = X1 ZZ2 compute U2 = X2 ZZ1 compute S1 = Y1 ZZZ2 diff --git a/pyecsca/ec/efd/shortw/xyzz-3/addition/madd-2008-s b/pyecsca/ec/efd/shortw/xyzz-3/addition/madd-2008-s index 1830258..61b2db9 100644 --- a/pyecsca/ec/efd/shortw/xyzz-3/addition/madd-2008-s +++ b/pyecsca/ec/efd/shortw/xyzz-3/addition/madd-2008-s @@ -1,4 +1,5 @@ source 2008 Sutherland +unified assume ZZ2 = 1 assume ZZZ2 = 1 compute U2 = X2 ZZ1 diff --git a/pyecsca/ec/efd/shortw/xyzz-3/addition/mmadd-2008-s b/pyecsca/ec/efd/shortw/xyzz-3/addition/mmadd-2008-s index 5953e20..621b6e1 100644 --- a/pyecsca/ec/efd/shortw/xyzz-3/addition/mmadd-2008-s +++ b/pyecsca/ec/efd/shortw/xyzz-3/addition/mmadd-2008-s @@ -1,4 +1,5 @@ source 2008 Sutherland +unified assume ZZ1 = 1 assume ZZZ1 = 1 assume ZZ2 = 1 diff --git a/pyecsca/ec/efd/shortw/xyzz/addition/add-2008-s b/pyecsca/ec/efd/shortw/xyzz/addition/add-2008-s index a28b0ab..ffa7bf0 100644 --- a/pyecsca/ec/efd/shortw/xyzz/addition/add-2008-s +++ b/pyecsca/ec/efd/shortw/xyzz/addition/add-2008-s @@ -1,4 +1,5 @@ source 2008 Sutherland +unified compute U1 = X1 ZZ2 compute U2 = X2 ZZ1 compute S1 = Y1 ZZZ2 diff --git a/pyecsca/ec/efd/shortw/xyzz/addition/madd-2008-s b/pyecsca/ec/efd/shortw/xyzz/addition/madd-2008-s index 1830258..61b2db9 100644 --- a/pyecsca/ec/efd/shortw/xyzz/addition/madd-2008-s +++ b/pyecsca/ec/efd/shortw/xyzz/addition/madd-2008-s @@ -1,4 +1,5 @@ source 2008 Sutherland +unified assume ZZ2 = 1 assume ZZZ2 = 1 compute U2 = X2 ZZ1 diff --git a/pyecsca/ec/efd/shortw/xyzz/addition/mmadd-2008-s b/pyecsca/ec/efd/shortw/xyzz/addition/mmadd-2008-s index 5953e20..621b6e1 100644 --- a/pyecsca/ec/efd/shortw/xyzz/addition/mmadd-2008-s +++ b/pyecsca/ec/efd/shortw/xyzz/addition/mmadd-2008-s @@ -1,4 +1,5 @@ source 2008 Sutherland +unified assume ZZ1 = 1 assume ZZZ1 = 1 assume ZZ2 = 1 diff --git a/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd b/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd index 78b82c3..69ebdf3 100644 --- a/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd +++ b/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.1 +unified compute A = X1 X2 compute B = Y1 Y2 compute C = T1 d T2 diff --git a/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd-2 b/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd-2 index 0b2c88d..6f1848d 100644 --- a/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd-2 +++ b/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd-2 @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.2 +unified compute A = X1 X2 compute B = Y1 Y2 compute C = Z1 T2 diff --git a/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd-3 b/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd-3 index 5f7892e..8a95b77 100644 --- a/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd-3 +++ b/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd-3 @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.1 +unified appliesto extended-1 parameter k assume k = 2*d diff --git a/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd-4 b/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd-4 index 09c7447..f65e73d 100644 --- a/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd-4 +++ b/pyecsca/ec/efd/twisted/extended-1/addition/add-2008-hwcd-4 @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.2 +unified appliesto extended-1 compute A = (Y1-X1)(Y2+X2) compute B = (Y1+X1)(Y2-X2) diff --git a/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd b/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd index 92cb21e..43efa01 100644 --- a/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd +++ b/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.1 +unified assume Z2 = 1 compute A = X1 X2 compute B = Y1 Y2 diff --git a/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd-2 b/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd-2 index 546063e..410ca20 100644 --- a/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd-2 +++ b/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd-2 @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.2 +unified assume Z2 = 1 compute A = X1 X2 compute B = Y1 Y2 diff --git a/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd-3 b/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd-3 index 7474626..ea5191d 100644 --- a/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd-3 +++ b/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd-3 @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.1 +unified appliesto extended-1 assume Z2 = 1 parameter k diff --git a/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd-4 b/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd-4 index 89b52ed..0433523 100644 --- a/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd-4 +++ b/pyecsca/ec/efd/twisted/extended-1/addition/madd-2008-hwcd-4 @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.2 +unified appliesto extended-1 assume Z2 = 1 compute A = (Y1-X1)(Y2+X2) diff --git a/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd b/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd index cdda363..77f2ef7 100644 --- a/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd +++ b/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.1, plus assumption Z1=1, plus standard simplification +unified assume Z1 = 1 assume Z2 = 1 compute A = X1 X2 diff --git a/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd-2 b/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd-2 index 6f296d5..e8bcf9a 100644 --- a/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd-2 +++ b/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd-2 @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.2, plus assumption Z1=1 +unified assume Z1 = 1 assume Z2 = 1 compute A = X1 X2 diff --git a/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd-3 b/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd-3 index 9c53737..65f488e 100644 --- a/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd-3 +++ b/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd-3 @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.1, plus assumption Z1=1, plus standard simplification +unified appliesto extended-1 assume Z1 = 1 assume Z2 = 1 diff --git a/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd-4 b/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd-4 index 6cc599c..1497e39 100644 --- a/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd-4 +++ b/pyecsca/ec/efd/twisted/extended-1/addition/mmadd-2008-hwcd-4 @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.2, plus assumption Z1=1 +unified appliesto extended-1 assume Z1 = 1 assume Z2 = 1 diff --git a/pyecsca/ec/efd/twisted/extended/addition/add-2008-hwcd b/pyecsca/ec/efd/twisted/extended/addition/add-2008-hwcd index 78b82c3..69ebdf3 100644 --- a/pyecsca/ec/efd/twisted/extended/addition/add-2008-hwcd +++ b/pyecsca/ec/efd/twisted/extended/addition/add-2008-hwcd @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.1 +unified compute A = X1 X2 compute B = Y1 Y2 compute C = T1 d T2 diff --git a/pyecsca/ec/efd/twisted/extended/addition/add-2008-hwcd-2 b/pyecsca/ec/efd/twisted/extended/addition/add-2008-hwcd-2 index 0b2c88d..6f1848d 100644 --- a/pyecsca/ec/efd/twisted/extended/addition/add-2008-hwcd-2 +++ b/pyecsca/ec/efd/twisted/extended/addition/add-2008-hwcd-2 @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.2 +unified compute A = X1 X2 compute B = Y1 Y2 compute C = Z1 T2 diff --git a/pyecsca/ec/efd/twisted/extended/addition/madd-2008-hwcd b/pyecsca/ec/efd/twisted/extended/addition/madd-2008-hwcd index 92cb21e..43efa01 100644 --- a/pyecsca/ec/efd/twisted/extended/addition/madd-2008-hwcd +++ b/pyecsca/ec/efd/twisted/extended/addition/madd-2008-hwcd @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.1 +unified assume Z2 = 1 compute A = X1 X2 compute B = Y1 Y2 diff --git a/pyecsca/ec/efd/twisted/extended/addition/madd-2008-hwcd-2 b/pyecsca/ec/efd/twisted/extended/addition/madd-2008-hwcd-2 index 546063e..410ca20 100644 --- a/pyecsca/ec/efd/twisted/extended/addition/madd-2008-hwcd-2 +++ b/pyecsca/ec/efd/twisted/extended/addition/madd-2008-hwcd-2 @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.2 +unified assume Z2 = 1 compute A = X1 X2 compute B = Y1 Y2 diff --git a/pyecsca/ec/efd/twisted/extended/addition/mmadd-2008-hwcd b/pyecsca/ec/efd/twisted/extended/addition/mmadd-2008-hwcd index cdda363..77f2ef7 100644 --- a/pyecsca/ec/efd/twisted/extended/addition/mmadd-2008-hwcd +++ b/pyecsca/ec/efd/twisted/extended/addition/mmadd-2008-hwcd @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.1, plus assumption Z1=1, plus standard simplification +unified assume Z1 = 1 assume Z2 = 1 compute A = X1 X2 diff --git a/pyecsca/ec/efd/twisted/extended/addition/mmadd-2008-hwcd-2 b/pyecsca/ec/efd/twisted/extended/addition/mmadd-2008-hwcd-2 index 6f296d5..e8bcf9a 100644 --- a/pyecsca/ec/efd/twisted/extended/addition/mmadd-2008-hwcd-2 +++ b/pyecsca/ec/efd/twisted/extended/addition/mmadd-2008-hwcd-2 @@ -1,4 +1,5 @@ source 2008 Hisil--Wong--Carter--Dawson, http://eprint.iacr.org/2008/522, Section 3.2, plus assumption Z1=1 +unified assume Z1 = 1 assume Z2 = 1 compute A = X1 X2 diff --git a/pyecsca/ec/efd/twisted/inverted/addition/add-2008-bbjlp b/pyecsca/ec/efd/twisted/inverted/addition/add-2008-bbjlp index 4997a3e..ed221e4 100644 --- a/pyecsca/ec/efd/twisted/inverted/addition/add-2008-bbjlp +++ b/pyecsca/ec/efd/twisted/inverted/addition/add-2008-bbjlp @@ -1,4 +1,5 @@ source 2008 Bernstein--Birkner--Joye--Lange--Peters http://eprint.iacr.org/2008/013, Section 6 +unified compute A = Z1 Z2 compute B = d A^2 compute C = X1 X2 diff --git a/pyecsca/ec/efd/twisted/inverted/addition/madd-2008-bbjlp b/pyecsca/ec/efd/twisted/inverted/addition/madd-2008-bbjlp index 83267c8..66abd07 100644 --- a/pyecsca/ec/efd/twisted/inverted/addition/madd-2008-bbjlp +++ b/pyecsca/ec/efd/twisted/inverted/addition/madd-2008-bbjlp @@ -1,4 +1,5 @@ source 2008 Bernstein--Birkner--Joye--Lange--Peters http://eprint.iacr.org/2008/013, Section 6, plus Z2=1, plus common-subexpression elimination +unified assume Z2 = 1 compute B = d Z1^2 compute C = X1 X2 diff --git a/pyecsca/ec/efd/twisted/inverted/addition/mmadd-2008-bbjlp b/pyecsca/ec/efd/twisted/inverted/addition/mmadd-2008-bbjlp index e47a3c9..5a0685e 100644 --- a/pyecsca/ec/efd/twisted/inverted/addition/mmadd-2008-bbjlp +++ b/pyecsca/ec/efd/twisted/inverted/addition/mmadd-2008-bbjlp @@ -1,4 +1,5 @@ source 2008 Bernstein--Birkner--Joye--Lange--Peters http://eprint.iacr.org/2008/013, Section 6, plus Z2=1, plus Z1=1, plus common-subexpression elimination +unified assume Z1 = 1 assume Z2 = 1 compute C = X1 X2 diff --git a/pyecsca/ec/efd/twisted/projective/addition/add-2008-bbjlp b/pyecsca/ec/efd/twisted/projective/addition/add-2008-bbjlp index 42d7bf3..01be983 100644 --- a/pyecsca/ec/efd/twisted/projective/addition/add-2008-bbjlp +++ b/pyecsca/ec/efd/twisted/projective/addition/add-2008-bbjlp @@ -1,4 +1,5 @@ source 2008 Bernstein--Birkner--Joye--Lange--Peters http://eprint.iacr.org/2008/013 Section 6 +unified compute A = Z1 Z2 compute B = A^2 compute C = X1 X2 diff --git a/pyecsca/ec/efd/twisted/projective/addition/madd-2008-bbjlp b/pyecsca/ec/efd/twisted/projective/addition/madd-2008-bbjlp index 9e65591..f13cf42 100644 --- a/pyecsca/ec/efd/twisted/projective/addition/madd-2008-bbjlp +++ b/pyecsca/ec/efd/twisted/projective/addition/madd-2008-bbjlp @@ -1,4 +1,5 @@ source 2008 Bernstein--Birkner--Joye--Lange--Peters http://eprint.iacr.org/2008/013 Section 6, plus Z2=1, plus common-subexpression elimination +unified assume Z2 = 1 compute B = Z1^2 compute C = X1 X2 diff --git a/pyecsca/ec/efd/twisted/projective/addition/mmadd-2008-bbjlp b/pyecsca/ec/efd/twisted/projective/addition/mmadd-2008-bbjlp index 51d5db1..85d2f8b 100644 --- a/pyecsca/ec/efd/twisted/projective/addition/mmadd-2008-bbjlp +++ b/pyecsca/ec/efd/twisted/projective/addition/mmadd-2008-bbjlp @@ -1,4 +1,5 @@ source 2008 Bernstein--Birkner--Joye--Lange--Peters http://eprint.iacr.org/2008/013 Section 6, plus Z2=1, plus Z1=1, plus standard simplification +unified assume Z1 = 1 assume Z2 = 1 compute C = X1 X2 |
