CREATE TABLE users(
    id SERIAL PRIMARY KEY,
    name TEXT UNIQUE NOT NULL DEFAULT LEFT(md5(random()::text), 8),
    created_at TIMESTAMP WITH TIME ZONE NOT NULL DEFAULT CURRENT_TIMESTAMP,
    ln_pubkey TEXT UNIQUE,
    nostr_pubkey TEXT UNIQUE,
    msats BIGINT NOT NULL DEFAULT 0
);

CREATE TABLE sessions(
    id VARCHAR(48) PRIMARY KEY,
    user_id INTEGER NOT NULL REFERENCES users(id),
    created_at TIMESTAMP WITH TIME ZONE NOT NULL DEFAULT CURRENT_TIMESTAMP
);

CREATE TABLE lnauth(
    k1 VARCHAR(64) PRIMARY KEY,
    created_at TIMESTAMP WITH TIME ZONE NOT NULL DEFAULT CURRENT_TIMESTAMP,
    lnurl TEXT NOT NULL,
    session_id VARCHAR(48) NOT NULL DEFAULT encode(gen_random_uuid()::text::bytea, 'base64')
);

CREATE TABLE invoices(
    id SERIAL PRIMARY KEY,
    user_id INTEGER NOT NULL REFERENCES users(id),
    msats BIGINT NOT NULL,
    msats_received BIGINT,
    hash TEXT NOT NULL UNIQUE,
    bolt11 TEXT NOT NULL,
    created_at TIMESTAMP WITH TIME ZONE NOT NULL DEFAULT CURRENT_TIMESTAMP,
    expires_at TIMESTAMP WITH TIME ZONE NOT NULL,
    confirmed_at TIMESTAMP WITH TIME ZONE,
    held_since TIMESTAMP WITH TIME ZONE,
    description TEXT
);

CREATE TABLE markets(
    id SERIAL PRIMARY KEY,
    created_at TIMESTAMP WITH TIME ZONE NOT NULL DEFAULT CURRENT_TIMESTAMP,
    question TEXT NOT NULL,
    description TEXT,
    end_date TIMESTAMP WITH TIME ZONE NOT NULL,
    settled_at TIMESTAMP WITH TIME ZONE,
    user_id INTEGER NOT NULL REFERENCES users(id),
    invoice_id INTEGER NOT NULL UNIQUE REFERENCES invoices(id),
    lmsr_b FLOAT NOT NULL
);

CREATE TABLE orders(
    id SERIAL PRIMARY KEY,
    created_at TIMESTAMP WITH TIME ZONE NOT NULL DEFAULT CURRENT_TIMESTAMP,
    market_id INTEGER NOT NULL REFERENCES markets(id),
    user_id INTEGER NOT NULL REFERENCES users(id),
    quantity BIGINT NOT NULL,
    outcome INTEGER NOT NULL,
    invoice_id INTEGER REFERENCES invoices(id)
);

CREATE TABLE withdrawals(
    id SERIAL PRIMARY KEY,
    created_at TIMESTAMP WITH TIME ZONE NOT NULL DEFAULT CURRENT_TIMESTAMP,
    canceled_at TIMESTAMP WITH TIME ZONE,
    user_id INTEGER NOT NULL REFERENCES users(id),
    bolt11 TEXT NOT NULL UNIQUE,
    paid_at TIMESTAMP WITH TIME ZONE
);

CREATE FUNCTION lmsr(b FLOAT, q1 FLOAT, q2 FLOAT)
RETURNS FLOAT AS $$
BEGIN
    RETURN b * LN(EXP(q1 / b) + EXP(q2 / b));
END;
$$ LANGUAGE plpgsql;

CREATE FUNCTION quote(b FLOAT, q1 FLOAT, q2 FLOAT, dq1 FLOAT)
RETURNS FLOAT AS $$
BEGIN
    RETURN lmsr(b, q1+dq1, q2) - lmsr(b, q1, q2);
END;
$$ LANGUAGE plpgsql;