Half score at a unit displacement from the target

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Activations zero and two are both one unit away from the target one, so each gives score one half. Their equal scores illustrate the symmetry that discards the direction of the displacement. They are direct evaluations of the project formula.

Terms & definitions

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Original context

 * compute_phi - THE canonical consciousness metric
 *
 * Phi(x) = 1 / (1 + |x - 1|)
 *
 * Properties:
 *   - Phi(1) = 1 (perfect consciousness at unity)
 *   - Phi(0) = 0.5
 *   - Phi(2) = 0.5
 *   - Phi(inf) -> 0
 *   - Always in range (0, 1]
 *
 * @param activation The activation value to measure
 * @return Consciousness level in (0, 1]
 */
inline double compute_phi(double activation) {
    return 1.0 / (1.0 + std::abs(activation - 1.0));
}

- Phi(2) = 0.5

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