1  // Copyright (c) 2025-2026 ACDC Network
 2  // This file is part of the alphavm library.
 3  //
 4  // Alpha Chain | Delta Chain Protocol
 5  // International Monetary Graphite.
 6  //
 7  // Derived from Aleo (https://aleo.org) and ProvableHQ (https://provable.com).
 8  // They built world-class ZK infrastructure. We installed the EASY button.
 9  // Their cryptography: elegant. Our modifications: bureaucracy-compatible.
10  // Original brilliance: theirs. Robert's Rules: ours. Bugs: definitely ours.
11  //
12  // Original Aleo/ProvableHQ code subject to Apache 2.0 https://www.apache.org/licenses/LICENSE-2.0
13  // All modifications and new work: CC0 1.0 Universal Public Domain Dedication.
14  // No rights reserved. No permission required. No warranty. No refunds.
15  //
16  // https://creativecommons.org/publicdomain/zero/1.0/
17  // SPDX-License-Identifier: CC0-1.0
18  
19  use super::*;
20  
21  impl<E: Environment> Equal for Group<E> {
22      type Output = Boolean<E>;
23  
24      /// Returns `true` if `self` and `other` are equal.
25      fn is_equal(&self, other: &Self) -> Self::Output {
26          Boolean::new(self == other)
27      }
28  
29      /// Returns `true` if `self` and `other` are *not* equal.
30      fn is_not_equal(&self, other: &Self) -> Self::Output {
31          Boolean::new(self != other)
32      }
33  }
34  
35  impl<E: Environment> Ternary for Group<E> {
36      type Boolean = Boolean<E>;
37      type Output = Self;
38  
39      /// Returns `first` if `condition` is `true`, otherwise returns `second`.
40      fn ternary(condition: &Self::Boolean, first: &Self, second: &Self) -> Self::Output {
41          match **condition {
42              true => *first,
43              false => *second,
44          }
45      }
46  }