VI. 10.6 FIRING PATTERN · Phase calculation: phase(i,t)

Read the equation

This relation defines Phase calculation: phase(i,t) in the source section “VI. 10.6 FIRING PATTERN · Phase calculation: phase(i,t)”. Uses a remainder or modular operation, retaining the numeric representation used in the source. 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 Phase calculation: phase(i,t) as the quantity being defined or updated by this relation.

2. Uses a remainder or modular operation, retaining the numeric representation used in the source.

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

// ============================================================================
// VI. 10.6 FIRING PATTERN
// ============================================================================

class FiringPattern {
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;
    }

Phase calculation: phase(i,t) = ⌊(t + offset_i)/10.6⌋ mod 16

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