VI. 10.6 FIRING PATTERN · Offset distribution: offset_i

Read the equation

This relation defines Offset distribution: offset_i in the source section “VI. 10.6 FIRING PATTERN · Offset distribution: offset_i”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read Offset distribution: offset_i as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

• This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

public:
    // Phase calculation: phase(i,t) = ⌊(t + offset_i)/10.6⌋ mod 16
    static int phase(int i, double t) {
        double offset = offset_distribution(i);
        return static_cast<int>(std::floor((t + offset) / BASE_PAIRS_PER_TURN)) % NUM_STRANDS;
    }

    // Offset distribution: offset_i = i · φ⁻¹ · 10.6
    static double offset_distribution(int i) {
        return i * PHI_INV * BASE_PAIRS_PER_TURN;
    }

    // Fire condition: fire(i,t) = [phase = 0]
    static bool should_fire(int i, double t) {
        return phase(i, t) == 0;
    }

    // Get all firing strands at time t

Offset distribution: offset_i = i · φ⁻¹ · 10.6

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