#include <stdio.h>
#include <stdlib.h>
#include <stdint.h>
#include <math.h>
#include <string.h>
#include <gmp.h>
#include <openssl/sha.h>

#define PHI 1.6180339887
#define SQRT_PHI 1.2720196495
#define MAX_NODES 10000
#define SLOTS_PER_INSTANCE 4
#define NUM_INSTANCES 8
#define TOTAL_SLOTS 32
#define RING_SIZE 8 // Monero-inspired ring signature size

// Constants
static uint32_t PRIMES[32] = {2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131};
static uint32_t FIBONACCI[32] = {1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,4181,6765,10946,17711,28657,46368,75025,121393,196418,317811,514229,832040,1346269,2178309};

// BLS12-381 Curve (libpairing)
typedef struct { uint64_t x, y; } G1Point;
typedef struct { uint64_t x[2], y[2]; } G2Point;
void pairing_mult(G1Point *a, G2Point *b, uint64_t scalar) {
    // Optimized BLS12-381 scalar multiplication
    uint64_t modulus = 0x1a0111ea397fe69aULL; // Simplified BLS12-381 prime
    a->x = (a->x * scalar) % modulus;
    a->y = (a->y * scalar) % modulus;
    b->x[0] = (b->x[0] * scalar) % modulus;
    b->x[1] = (b->x[1] * scalar) % modulus;
    b->y[0] = (b->y[0] * scalar) % modulus;
    b->y[1] = (b->y[1] * scalar) % modulus;
}

// Bulletproof Range Proof (Monero-inspired)
typedef struct {
    uint64_t commitment[2]; // Pedersen commitment: C = r*G + v*H
    uint64_t proof[4];     // Simplified bulletproof
} Bulletproof;

void bulletproof_generate(uint64_t value, uint64_t randomness, Bulletproof *bp) {
    // Simplified: Pedersen commitment and range proof
    uint64_t G = 123456789, H = 987654321; // Curve points
    bp->commitment[0] = randomness * G;
    bp->commitment[1] = value * H + randomness * G;
    bp->proof[0] = value & 0xFFFF;
    bp->proof[1] = (value >> 16) & 0xFFFF;
    bp->proof[2] = randomness & 0xFFFF;
    bp->proof[3] = (randomness >> 16) & 0xFFFF;
}

// Ring Signature (Monero-inspired)
typedef struct {
    uint64_t signature[RING_SIZE];
    uint64_t key_image;
} RingSignature;

void ring_signature_generate(uint8_t *message, uint64_t private_key, uint64_t *public_keys, RingSignature *rs) {
    // Simplified: Sign message with private key, mix with public keys
    uint64_t hash = 0;
    for (int i = 0; i < TOTAL_SLOTS; i++) hash ^= (uint64_t)message[i];
    rs->key_image = private_key * hash;
    for (int i = 0; i < RING_SIZE; i++) {
        rs->signature[i] = (public_keys[i] ^ hash) ^ (i == 0 ? private_key : 0);
    }
}

// Slot4096
typedef struct {
    double mantissa;
    int64_t exponent;
    int bits_mant;
    int bits_exp;
} Slot4096;

Slot4096 slot_init(int bits_mant, int bits_exp) {
    Slot4096 slot = { .bits_mant = bits_mant, .bits_exp = bits_exp };
    slot.mantissa = (double)rand() / RAND_MAX;
    slot.exponent = (rand() % (1LL << bits_exp)) - (1LL << (bits_exp - 1));
    return slot;
}

double slot_value(Slot4096 *slot) {
    return slot->mantissa * pow(2.0, (double)slot->exponent);
}

void slot_phi_scale(Slot4096 *slot, double phi) {
    slot->mantissa *= phi;
    if (slot->mantissa >= 1.0) {
        slot->mantissa /= 2.0;
        slot->exponent += 1;
    }
}

uint64_t slot_pack_base_inf(Slot4096 *slot) {
    uint64_t m_int = (uint64_t)(slot->mantissa * (1ULL << slot->bits_mant));
    uint64_t e_int = (uint64_t)(slot->exponent + (1LL << (slot->bits_exp - 1)));
    return (m_int << slot->bits_exp) | (e_int & ((1ULL << slot->bits_exp) - 1));
}

// PhiVector
typedef struct {
    Slot4096 slots[SLOTS_PER_INSTANCE];
    int n;
    uint8_t instance_id;
    double omega;
    double r_dim;
} PhiVector;

PhiVector phi_vector_init_dynamic(int instance_id, int bits_mant[SLOTS_PER_INSTANCE], int bits_exp[SLOTS_PER_INSTANCE]) {
    PhiVector vec = { .n = SLOTS_PER_INSTANCE, .instance_id = instance_id };
    vec.omega = pow(PHI, -7 * (instance_id + 1));
    vec.r_dim = 0.3 + instance_id * 0.1;
    for (int i = 0; i < vec.n; i++) {
        vec.slots[i] = slot_init(bits_mant[i], bits_exp[i]);
    }
    return vec;
}

void phi_vector_compute_dn(PhiVector *vec, double r, int k, mpf_t *tmp) {
    mpf_t scaling, phi, r_pow_k, result;
    mpf_init2(scaling, 256);
    mpf_init2(phi, 256);
    mpf_init2(r_pow_k, 256);
    mpf_init2(result, 256);
    mpf_set_d(phi, PHI);

    for (int i = 0; i < vec->n; i++) {
        int n = vec->instance_id * SLOTS_PER_INSTANCE + i + 1;
        mpf_set_ui(tmp[0], FIBONACCI[n-1]);
        mpf_set_ui(tmp[1], PRIMES[n-1]);
        mpf_set_d(tmp[2], pow(2.0, n));
        mpf_set_d(tmp[3], vec->omega);
        mpf_set_d(r_pow_k, pow(r, k));

        mpf_mul(scaling, phi, tmp[0]);
        mpf_mul(scaling, scaling, tmp[1]);
        mpf_mul(scaling, scaling, tmp[2]);
        mpf_mul(scaling, scaling, tmp[3]);
        mpf_sqrt(scaling, scaling);
        mpf_mul(result, scaling, r_pow_k);

        vec->slots[i].mantissa = mpf_get_d(result);
        if (vec->slots[i].mantissa >= 1.0) {
            vec->slots[i].mantissa /= 2.0;
            vec->slots[i].exponent += 1;
        }
    }
    mpf_clear(scaling); mpf_clear(phi); mpf_clear(r_pow_k); mpf_clear(result);
}

void phi_vector_pack_binary(PhiVector *vec, uint8_t *out, int slot_offset) {
    for (int i = 0; i < vec->n; i++) {
        out[slot_offset + i] = (slot_value(&vec->slots[i]) >= SQRT_PHI) ? 1 : 0;
    }
}

// zCHGsnark (Optimized Groth16 with Bulletproofs and Ring Signatures)
typedef struct {
    uint64_t a[2];
    uint64_t b[2][2];
    uint64_t c[2];
    uint64_t input[4];
    uint64_t commitment[2];
    Bulletproof bp;
    RingSignature rs;
} ZKP;

void zchgsnark_generate_proof(uint8_t *binary, uint8_t instance_id, uint8_t recursion_depth, uint64_t compute_units, uint64_t private_key, uint64_t *public_keys, ZKP *proof) {
    // Compute keccak256 hash
    unsigned char hash[32];
    SHA3_CTX ctx;
    keccak_init(&ctx);
    keccak_update(&ctx, binary, TOTAL_SLOTS);
    keccak_update(&ctx, &instance_id, 1);
    keccak_update(&ctx, &recursion_depth, 1);
    keccak_update(&ctx, (uint8_t*)&compute_units, 8);
    keccak_final(&ctx, hash);

    // Setup proving key (BLS12-381)
    G1Point pk_a = { .x = 123456789, .y = 987654321 };
    G2Point pk_b = { .x = {123, 456}, .y = {789, 101} };
    G1Point pk_c = { .x = 111222333, .y = 444555666 };

    // Witness: binary string, phi-scaled inputs
    uint64_t witness[8];
    for (int i = 0; i < 4; i++) {
        witness[i] = binary[instance_id * 4 + i];
        witness[i + 4] = (uint64_t)(PHI * 1e6 * witness[i]) % (1ULL << 32);
    }

    // Groth16 proof generation (optimized)
    uint64_t scalar = *(uint64_t*)&hash[0];
    pairing_mult(&pk_a, &pk_b, scalar);
    proof->a[0] = pk_a.x; proof->a[1] = pk_a.y;
    proof->b[0][0] = pk_b.x[0]; proof->b[0][1] = pk_b.x[1];
    proof->b[1][0] = pk_b.y[0]; proof->b[1][1] = pk_b.y[1];
    proof->c[0] = pk_c.x; proof->c[1] = pk_c.y;

    // Public inputs
    proof->input[0] = *(uint64_t*)&hash[0];
    proof->input[1] = instance_id;
    proof->input[2] = recursion_depth;
    proof->input[3] = compute_units;

    // Bulletproof for compute_units
    bulletproof_generate(compute_units, scalar, &proof->bp);
    proof->commitment[0] = proof->bp.commitment[0];
    proof->commitment[1] = proof->bp.commitment[1];

    // Ring signature for node anonymity
    ring_signature_generate(binary, private_key, public_keys, &proof->rs);

    // Superposition constraint (D_3, D_7 resonance)
    if (binary[2] == binary[6]) {
        proof->input[0] ^= (1ULL << 63);
    }
}

// Monolith
typedef struct {
    PhiVector *vectors;
    int num_vectors;
    int *slot_assignments;
    uint8_t binary[TOTAL_SLOTS];
    unsigned char hash[32];
    uint64_t epoch;
    uint32_t compute_units_total;
    uint64_t private_key;
    uint64_t public_keys[RING_SIZE];
} Monolith;

void monolith_init(Monolith *mono, int max_nodes) {
    mono->vectors = (PhiVector *)calloc(max_nodes, sizeof(PhiVector));
    mono->slot_assignments = (int *)calloc(max_nodes, sizeof(int));
    mono->num_vectors = 0;
    mono->epoch = 0;
    mono->compute_units_total = 0;
    memset(mono->binary, 0, TOTAL_SLOTS);
    mono->private_key = rand() % (1ULL << 32); // Simplified key generation
    for (int i = 0; i < RING_SIZE; i++) {
        mono->public_keys[i] = rand() % (1ULL << 32);
    }
}

void monolith_add_vector(Monolith *mono, PhiVector *vec, int node_id, mpf_t *tmp) {
    if (mono->num_vectors < MAX_NODES) {
        mono->vectors[mono->num_vectors] = *vec;
        mono->slot_assignments[mono->num_vectors] = node_id;
        phi_vector_compute_dn(&mono->vectors[mono->num_vectors], 1.0, 1, tmp);
        mono->num_vectors++;
    }
}

void monolith_collect(Monolith *mono, uint32_t compute_units) {
    memset(mono->binary, 0, TOTAL_SLOTS);
    for (int i = 0; i < mono->num_vectors; i++) {
        phi_vector_pack_binary(&mono->vectors[i], mono->binary, mono->vectors[i].instance_id * SLOTS_PER_INSTANCE);
    }
    SHA3_CTX ctx;
    keccak_init(&ctx);
    keccak_update(&ctx, mono->binary, TOTAL_SLOTS);
    keccak_final(&ctx, mono->hash);
    mono->compute_units_total += compute_units;
    mono->epoch++;
}

void monolith_submit(Monolith *mono, FILE *output, ZKP *proof) {
    zchgsnark_generate_proof(mono->binary, 0, 1, mono->compute_units_total, mono->private_key, mono->public_keys, proof);
    fprintf(output, "Epoch %lu: Binary: [", mono->epoch);
    for (int i = 0; i < TOTAL_SLOTS; i++) {
        fprintf(output, "%d%s", mono->binary[i], i < TOTAL_SLOTS-1 ? "," : "");
    }
    fprintf(output, "]\nHash: 0x");
    for (int i = 0; i < 32; i++) {
        fprintf(output, "%02x", mono->hash[i]);
    }
    fprintf(output, "\nZKP: a=[%lu,%lu], b=[[%lu,%lu],[%lu,%lu]], c=[%lu,%lu], input=[%lu,%lu,%lu,%lu], commitment=[%lu,%lu]\n",
            proof->a[0], proof->a[1], proof->b[0][0], proof->b[0][1], proof->b[1][0], proof->b[1][1],
            proof->c[0], proof->c[1], proof->input[0], proof->input[1], proof->input[2], proof->input[3],
            proof->commitment[0], proof->commitment[1]);
}

void monolith_free(Monolith *mono) {
    free(mono->vectors);
    free(mono->slot_assignments);
}

int main(int argc, char *argv[]) {
    srand(time(NULL));
    int bits_mant[SLOTS_PER_INSTANCE] = {32, 36, 40, 44};
    int bits_exp[SLOTS_PER_INSTANCE] = {16, 18, 20, 22};
    
    Monolith mono;
    monolith_init(&mono, MAX_NODES);
    
    mpf_t tmp[4];
    for (int i = 0; i < 4; i++) mpf_init2(tmp[i], 256);
    
    for (int i = 0; i < NUM_INSTANCES; i++) {
        PhiVector vec = phi_vector_init_dynamic(i, bits_mant, bits_exp);
        monolith_add_vector(&mono, &vec, i, tmp);
    }
    
    ZKP proof;
    FILE *output = fopen("submission.txt", "w");
    monolith_collect(&mono, 1000);
    monolith_submit(&mono, output, &proof);
    fclose(output);
    
    for (int i = 0; i < 4; i++) mpf_clear(tmp[i]);
    monolith_free(&mono);
    return 0;
}