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authorGravatar Jason Gross <jgross@mit.edu>2017-06-01 23:59:55 -0400
committerGravatar Jason Gross <jgross@mit.edu>2017-06-02 00:00:09 -0400
commitd3135a69f653034f07b7657486f926a7a20ef3ee (patch)
treee163e017643c1bc8c877ecefaa43299c458d232e /src/Curves
parent3f11f57487ce9e913b36271cee2f8b6b695945cf (diff)
Strip trailing whitespace
With ```bash bash ./etc/coq-scripts/formatting/strip-trailing-whitespace.sh ```
Diffstat (limited to 'src/Curves')
-rw-r--r--src/Curves/Edwards/Pre.v2
-rw-r--r--src/Curves/Montgomery/Affine.v2
-rw-r--r--src/Curves/Montgomery/AffineInstances.v4
-rw-r--r--src/Curves/Montgomery/AffineProofs.v4
-rw-r--r--src/Curves/Weierstrass/Affine.v2
-rw-r--r--src/Curves/Weierstrass/AffineProofs.v2
6 files changed, 8 insertions, 8 deletions
diff --git a/src/Curves/Edwards/Pre.v b/src/Curves/Edwards/Pre.v
index 244acc9b5..9f5d5cfab 100644
--- a/src/Curves/Edwards/Pre.v
+++ b/src/Curves/Edwards/Pre.v
@@ -43,4 +43,4 @@ Section Edwards.
Lemma onCurve_add : onCurve ((x1*y2 + y1*x2)/(1 + d*x1*x2*y1*y2)) ((y1*y2 - a*x1*x2)/(1 - d*x1*x2*y1*y2)).
Proof using Type*. pose proof denominator_nonzero. Field.fsatz. Qed.
End Addition.
-End Edwards. \ No newline at end of file
+End Edwards.
diff --git a/src/Curves/Montgomery/Affine.v b/src/Curves/Montgomery/Affine.v
index 70e8a3f6f..bfd7dce60 100644
--- a/src/Curves/Montgomery/Affine.v
+++ b/src/Curves/Montgomery/Affine.v
@@ -62,4 +62,4 @@ Module M.
Next Obligation. Proof. destruct P; cbv; break_match; trivial; fsatz. Qed.
End MontgomeryWeierstrass.
End MontgomeryCurve.
-End M. \ No newline at end of file
+End M.
diff --git a/src/Curves/Montgomery/AffineInstances.v b/src/Curves/Montgomery/AffineInstances.v
index ef5ccd578..049a7695b 100644
--- a/src/Curves/Montgomery/AffineInstances.v
+++ b/src/Curves/Montgomery/AffineInstances.v
@@ -19,7 +19,7 @@ Module M.
Local Notation "0" := Fzero.
Local Notation "1" := Fone.
Local Notation "4" := (1+1+1+1).
-
+
Global Instance MontgomeryWeierstrassIsomorphism
{a b: F}
(b_nonzero : b <> 0)
@@ -40,7 +40,7 @@ Module M.
(M.add(char_ge_3:=char_ge_3)(b_nonzero:=b_nonzero))
M.zero
(M.opp(b_nonzero:=b_nonzero))
-
+
(M.of_Weierstrass(Haw:=reflexivity _)(Hbw:=reflexivity _)(b_nonzero:=b_nonzero))
(M.to_Weierstrass(Haw:=reflexivity _)(Hbw:=reflexivity _)(b_nonzero:=b_nonzero)).
Proof.
diff --git a/src/Curves/Montgomery/AffineProofs.v b/src/Curves/Montgomery/AffineProofs.v
index 4601c3b66..588605c35 100644
--- a/src/Curves/Montgomery/AffineProofs.v
+++ b/src/Curves/Montgomery/AffineProofs.v
@@ -13,7 +13,7 @@ Module M.
Context {F Feq Fzero Fone Fopp Fadd Fsub Fmul Finv Fdiv}
{field:@Algebra.Hierarchy.field F Feq Fzero Fone Fopp Fadd Fsub Fmul Finv Fdiv}
{Feq_dec:Decidable.DecidableRel Feq}.
-
+
Local Infix "=" := Feq : type_scope. Local Notation "a <> b" := (not (a = b)) : type_scope.
Local Infix "+" := Fadd. Local Infix "*" := Fmul.
Local Infix "-" := Fsub. Local Infix "/" := Fdiv.
@@ -74,7 +74,7 @@ Module M.
(M.add(char_ge_3:=_3)(b_nonzero:=_4))
M.zero
(M.opp(b_nonzero:=_7))
-
+
(M.of_Weierstrass(Haw:=Haw)(Hbw:=Hbw)(b_nonzero:=_5))
(M.to_Weierstrass(Haw:=Haw)(Hbw:=Hbw)(b_nonzero:=_6)).
Proof.
diff --git a/src/Curves/Weierstrass/Affine.v b/src/Curves/Weierstrass/Affine.v
index 3a48bf998..cdcb1bec7 100644
--- a/src/Curves/Weierstrass/Affine.v
+++ b/src/Curves/Weierstrass/Affine.v
@@ -17,4 +17,4 @@ Module W.
cbv [W.coordinates]; break_match; trivial; fsatz.
Qed.
End W.
-End W. \ No newline at end of file
+End W.
diff --git a/src/Curves/Weierstrass/AffineProofs.v b/src/Curves/Weierstrass/AffineProofs.v
index 3401d7b31..2faac22eb 100644
--- a/src/Curves/Weierstrass/AffineProofs.v
+++ b/src/Curves/Weierstrass/AffineProofs.v
@@ -35,7 +35,7 @@ Module W.
{char_ge_12:@Ring.char_ge F Feq Fzero Fone Fopp Fadd Fsub Fmul 12%positive} (* FIXME: shouldn't need we need 4, not 12? *)
{discriminant_nonzero:id(4*a*a*a + 27*b*b <> 0)}
: commutative_group(eq:=W.eq(a:=a)(b:=b))(op:=W.add(char_ge_3:=char_ge_3))(id:=W.zero)(inv:=W.opp).
- Proof using Type.
+ Proof using Type.
Time
cbv [W.opp W.eq W.zero W.add W.coordinates proj1_sig];
repeat match goal with