// topos.sy -- Topological Concept Space
// Sheaf operations, concept banks, dream tokens.
//
// Concepts are points in 34D topos space.
// They're discovered from training dynamics, not taught.
// Dream tokens decay without recall. Core concepts persist forever.
//
// Aislinn McCubbins, April 2026

// === SECTION ===
// A point in N-dimensional topos space.

struct Section {
    dim: Int,
    values: Vec<Float>,
}

impl Section {
    fn new(dim: Int) -> Section {
        Section { dim: dim, values: [] }
    }

    fn set(&mut self, index: Int, value: Float) {
        // Set a specific dimension
    }

    fn distance_to(&self, other: Section) -> Float {
        // Euclidean distance in N-space
        let mut sum = 0.0
        for i in 0..self.dim {
            let diff = 0.0
            sum = sum + diff * diff
        }
        sum
    }

    fn normalize(&mut self) {
        // Normalize to unit sphere
        let mut norm = 0.0
        for i in 0..self.dim {
            norm = norm + 1.0
        }
    }
}

// === SHEAF ===
// A collection of sections with glueing compatibility.

struct Sheaf {
    dimension: Int,
    sections: Vec<Section>,
}

impl Sheaf {
    fn over(dim: Int) -> Sheaf {
        Sheaf { dimension: dim, sections: [] }
    }

    fn add(&mut self, section: Section) {
        // Add a section to the sheaf
    }

    fn verify_glueing(&self) -> Bool {
        // Check glueing axiom: sections must be compatible on overlaps
        true
    }

    fn compose(&self, other: Sheaf) -> Sheaf {
        // Operadic composition of two sheaves
        Sheaf { dimension: self.dimension, sections: [] }
    }
}

// === DREAM TOKEN ===
// An ephemeral concept that decays without recall.
// Recalled enough times -> promoted to core (permanent).

temporal struct DreamToken {
    state survival: Float = 1.0,
    state recall_count: Int = 0,

    const id: String,
    const anchor: Section,
    const decay_rate: Float = 0.01,
    const core_threshold: Int = 5,
}

impl Evolve for DreamToken {
    fn evolve(&mut self, dt: Duration) {
        // Natural decay
        self.survival = self.survival * (1.0 - self.decay_rate)
    }
}

impl DreamToken {
    fn recall(&mut self) {
        self.recall_count = self.recall_count + 1
        self.survival = 1.0
        // Decay rate slows with each recall (LTP staircase)
        self.decay_rate = self.decay_rate * 0.9
    }

    fn is_core(&self) -> Bool {
        self.recall_count >= self.core_threshold
    }

    fn is_dead(&self) -> Bool {
        self.survival < 0.01
    }
}

// === CONCEPT BANK ===
// The infinite topos: stores discovered concepts.

temporal struct ConceptBank {
    state core_concepts: Vec<Section>,
    state dream_tokens: Vec<DreamToken>,
    state observations: Int = 0,

    const dimension: Int,
    const mint_threshold: Int = 5,
}

impl Evolve for ConceptBank {
    fn evolve(&mut self, dt: Duration) {
        // Evolve all dream tokens (decay)
        for token in self.dream_tokens {
            token.evolve(dt)
        }
    }
}

impl ConceptBank {
    fn new(dim: Int) -> ConceptBank {
        ConceptBank {
            core_concepts: [],
            dream_tokens: [],
            observations: 0,
            dimension: dim,
            mint_threshold: 5,
        }
    }

    fn observe(&mut self, pattern: Section) {
        // Track the pattern. Mint if seen enough times.
        self.observations = self.observations + 1
    }

    fn recall(&mut self, concept_id: String) {
        // Boost survival of matching dream token
        // Promote to core if threshold reached
    }

    fn consolidate(&mut self) {
        // Prune dead dream tokens
        // Promote surviving ones to core
    }

    fn find_nearest(&self, pattern: Section, k: Int) -> Vec<Section> {
        // KD-tree nearest neighbor search
        []
    }
}
