mirror of https://github.com/zcash/halo2.git
Use correct symbol for incomplete addition
Co-authored-by: Daira Hopwood <daira@jacaranda.org>
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@ -27,16 +27,16 @@ impl Add for IncompletePoint {
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#[allow(clippy::suspicious_arithmetic_impl)]
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fn add(self, rhs: Self) -> Self::Output {
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// ⊥ ⊹ ⊥ = ⊥
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// ⊥ ⊹ P = ⊥
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// ⊥ ⸭ ⊥ = ⊥
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// ⊥ ⸭ P = ⊥
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IncompletePoint(self.0.and_then(|p| {
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// P ⊹ ⊥ = ⊥
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// P ⸭ ⊥ = ⊥
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rhs.0.and_then(|q| {
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// 0 ⊹ 0 = ⊥
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// 0 ⊹ P = ⊥
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// P ⊹ 0 = ⊥
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// (x, y) ⊹ (x', y') = ⊥ if x == x'
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// (x, y) ⊹ (x', y') = (x, y) + (x', y') if x != x'
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// 0 ⸭ 0 = ⊥
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// 0 ⸭ P = ⊥
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// P ⸭ 0 = ⊥
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// (x, y) ⸭ (x', y') = ⊥ if x == x'
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// (x, y) ⸭ (x', y') = (x, y) + (x', y') if x != x'
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CtOption::new(
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p + q,
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!(p.is_identity() | q.is_identity() | p.ct_eq(&q) | p.ct_eq(&-q)),
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@ -60,17 +60,17 @@ impl Add<pallas::Affine> for IncompletePoint {
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/// Specialisation of incomplete addition for mixed addition.
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#[allow(clippy::suspicious_arithmetic_impl)]
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fn add(self, rhs: pallas::Affine) -> Self::Output {
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// ⊥ ⊹ ⊥ = ⊥
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// ⊥ ⊹ P = ⊥
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// ⊥ ⸭ ⊥ = ⊥
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// ⊥ ⸭ P = ⊥
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IncompletePoint(self.0.and_then(|p| {
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// P ⊹ ⊥ = ⊥ is satisfied by definition.
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// P ⸭ ⊥ = ⊥ is satisfied by definition.
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let q = rhs.to_curve();
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// 0 ⊹ 0 = ⊥
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// 0 ⊹ P = ⊥
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// P ⊹ 0 = ⊥
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// (x, y) ⊹ (x', y') = ⊥ if x == x'
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// (x, y) ⊹ (x', y') = (x, y) + (x', y') if x != x'
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// 0 ⸭ 0 = ⊥
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// 0 ⸭ P = ⊥
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// P ⸭ 0 = ⊥
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// (x, y) ⸭ (x', y') = ⊥ if x == x'
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// (x, y) ⸭ (x', y') = (x, y) + (x', y') if x != x'
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CtOption::new(
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// Use mixed addition for efficiency.
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p + rhs,
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