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"""The speed-ups that compute only where values can change give the same floats, bit for bit, as the full-array
versions they replaced (kept here as oracles)."""
import unittest
import numpy as np
from worldhistory import state as S
from worldhistory.state import ATTRS, new_state
def move_full(st, r, src, dst, amt):
"""The original move: every cell updated."""
src, dst, amt = np.asarray(src, np.int64), np.asarray(dst, np.int64), np.asarray(amt, float)
keep = amt > 0
src, dst, amt = src[keep], dst[keep], amt[keep]
if not len(amt):
return
n = st.P.shape[1]
P = st.P[r]
out = np.bincount(src, amt, n)
scale = np.where(out > P, P / np.maximum(out, 1e-12), 1.0)
amt = amt * scale[src]
stay = np.maximum(P - np.bincount(src, amt, n), 0.0)
inflow = np.bincount(dst, amt, n)
tot = stay + inflow
for name in ATTRS:
A = getattr(st, name)[r]
if A.shape[0] == 0:
continue
Sm = np.stack([np.bincount(dst, amt * A[x, src], n) for x in range(A.shape[0])])
A[:] = np.where(tot > 0, (stay * A + Sm) / np.maximum(tot, 1e-12), A)
st.P[r] = tot
def random_state(n=4000, seed=0):
rng = np.random.default_rng(seed)
st = new_state(2, n, np.full((2, 6), 10.0, np.float32), seed)
st.P[:] = np.where(rng.random((2, n)) < 0.4, rng.random((2, n)) * 1e4, 0.0)
st.P[0, :20] = rng.random(20) * 1e-13 # thin groups (below the 1e-12 floor)
st.O[:] = (rng.normal(10, 5, st.O.shape)).astype(np.float32)
st.T[:] = rng.random(st.T.shape).astype(np.float32)
st.C[:, 0] = np.where(rng.random((2, n)) < 0.1, rng.random((2, n)) * 0.3, 0.0) # curses: float64, nonzero
return st, rng
class MoveTest(unittest.TestCase):
def test_move_matches_full_update(self):
for seed in range(4):
a, rng = random_state(seed=seed)
b, _ = random_state(seed=seed)
n = a.P.shape[1]
for _ in range(5):
k = int(rng.integers(1, 3000))
src, dst = rng.integers(0, n, k), rng.integers(0, n, k)
amt = rng.random(k) * 5e3 * (rng.random(k) < 0.9)
S.move(a, 0, src, dst, amt)
move_full(b, 0, src, dst, amt)
for name in ("P", *ATTRS):
with self.subTest(seed=seed, attr=name):
self.assertTrue(np.array_equal(getattr(a, name), getattr(b, name)))
class MoveSumOrderTest(unittest.TestCase):
def test_many_moves_into_few_cells_sum_in_move_order(self):
"""Thousands of moves into a few cells, float64 curses: any other summation order shows in the last bits."""
for seed in range(3):
a, rng = random_state(seed=seed)
b, _ = random_state(seed=seed)
n = a.P.shape[1]
c = rng.random(n) * 0.4
for st in (a, b):
st.C[0, 0] = c
k = 20000
src, dst = rng.integers(0, n, k), rng.integers(0, 50, k)
amt = np.exp(rng.normal(0, 3, k))
S.move(a, 0, src, dst, amt)
move_full(b, 0, src, dst, amt)
for name in ("P", *ATTRS):
with self.subTest(seed=seed, attr=name):
self.assertTrue(np.array_equal(getattr(a, name), getattr(b, name)))
class ConflictTest(unittest.TestCase):
def test_conflict_matches_full_arrays_many_races(self):
"""≥ 8 races: numpy sums a column-major block pairwise — the subset must still add race by race."""
from tests.helpers import make_race
from worldhistory.conflict import conflict
rng = np.random.default_rng(9)
races = [make_race(id=f"r{k}", conflict={"aggression": rng.random(), "power": 0.5 + rng.random(),
"dread": rng.random() * 0.5, "defend": 0.5, "border": 0.1,
"curse": 0.3 * (k % 3 == 0)}, family=f"f{k % 5}") for k in range(9)]
n = 20000
P = np.where(rng.random((9, n)) < 0.25, np.exp(rng.normal(5, 3, (9, n))), 0.0)
q, crowd = rng.random((9, n)), rng.random((9, n)) * 3
blame, want_blame = np.zeros_like(P), np.zeros_like(P)
loss, press = conflict(P, q, crowd, races, blame=blame)
want_loss, want_press = conflict_full(P, q, crowd, races, blame=want_blame)
self.assertTrue(np.array_equal(loss, want_loss))
self.assertTrue(np.array_equal(press, want_press))
self.assertTrue(np.array_equal(blame, want_blame))
def test_conflict_matches_full_arrays(self):
from tests.helpers import make_race
from worldhistory.conflict import conflict
rng = np.random.default_rng(5)
races = [make_race(id=k, conflict={"aggression": a, "power": p, "dread": d, "defend": 0.5, "border": 0.1,
"curse": c}, family=f)
for k, a, p, d, c, f in (("a", 0.4, 1.0, 0.2, 0.0, "x"), ("b", 0.9, 1.5, 0.0, 0.5, "y"),
("c", 0.2, 0.7, 0.6, 0.0, "z"))]
n = 5000
P = np.where(rng.random((3, n)) < 0.3, rng.random((3, n)) * 100, 0.0)
P[2] = 0.0 # an absent race
q, crowd = rng.random((3, n)), rng.random((3, n)) * 3
blame = np.zeros_like(P)
loss, press = conflict(P, q, crowd, races, blame=blame)
want_blame = np.zeros_like(P)
want_loss, want_press = conflict_full(P, q, crowd, races, blame=want_blame)
self.assertTrue(np.array_equal(loss, want_loss))
self.assertTrue(np.array_equal(press, want_press))
self.assertTrue(np.array_equal(blame, want_blame))
def conflict_full(P, q_eff, crowd, races, core_q=0.6, blame=None):
R = len(races)
tot = P.sum(0)
share = np.where(tot > 0, P / np.maximum(tot, 1e-12), 0.0)
fam = [r.family for r in races]
C = [r.conflict for r in races]
loss, press = np.zeros_like(P), np.zeros_like(P)
for i in range(R):
ci = C[i]
loss[i] += ci["internal"] * np.minimum(crowd[i], 2.0) * P[i]
for j in range(R):
if fam[j] == fam[i]:
continue
cj = C[j]
attacked = cj["aggression"] * (1 - ci["dread"]) * cj["power"] / ci["power"] * share[j]
attacking = ci["aggression"] * cj["defend"] * (q_eff[j] >= core_q) * cj["power"] / ci["power"] * share[j]
press[i] += attacked + cj["dread"] * share[j]
loss[i] += ci["border"] * (attacked + attacking) * P[i]
if blame is not None and ci["curse"] > 0:
blame[j] += ci["curse"] * ci["border"] * attacked
return np.minimum(loss, 0.9 * P), press
def prospective_full(st, world):
"""The original prospective: neighbour sums over every cell."""
for r in range(st.P.shape[0]):
pos = st.P[r] > 0
if not pos.any():
continue
P = np.where(pos, st.P[r], 0.0)
wsum = world.nb_sum(P)
empty = np.flatnonzero((st.P[r] <= 0) & (wsum > 0))
if not len(empty):
continue
st.O[r][:, empty] = world.nb_sum(P * st.O[r])[:, empty] / np.maximum(wsum[empty], 1e-12)
def step_tech_full(st, world, races, tp, steps=1.0):
"""The original step_tech: neighbour sums over every cell."""
from worldhistory.config import DOMAINS
from worldhistory.tech import neigh_pop
for r, race in enumerate(races):
P = st.P[r]
occ = P >= 1
if not occ.any():
continue
oc = np.flatnonzero(occ)
N = neigh_pop(world, P, tp["passes"])[oc]
s = N / (N + tp["n_half"])
T = st.T[r]
for d, name in enumerate(DOMAINS):
Td = T[d, oc]
gain = tp["rate"] * steps * race.tech.get(name, 1.0) * s * (1 - Td)
loss = np.where(N < tp["loss_below"], tp["loss_rate"] * steps * Td, 0.0)
T[d, oc] = np.clip(Td + gain - loss, 0, 1)
if tp["diffuse"] > 0:
PT = P * T
Pc, Tc = P[oc], T[:, oc]
M = (PT[:, oc] + world.nb_sum(PT)[:, oc]) / np.maximum(Pc + world.nb_sum(P)[oc], 1e-12)
T[:, oc] = Tc + tp["diffuse"] * np.clip(M - Tc, 0, None)
def sparse_state(n, seed, frac):
"""Groups on a few patches (as in a run: most cells empty), thin and fractional groups among them."""
st, rng = random_state(n, seed)
st.P[:] = np.where(rng.random((2, n)) < frac, rng.random((2, n)) * 3e3, 0.0)
st.P[0, :5] = rng.random(5) * 0.5
return st
class NeighbourhoodTest(unittest.TestCase):
def setUp(self):
from tests.helpers import globe_world
self.w = globe_world(2) # 5882 cells
def test_adjacency_is_symmetric(self):
a = self.w._adj
self.assertEqual((a != a.T).nnz, 0)
def test_nb_sum_at_matches_full_sum(self):
rng = np.random.default_rng(3)
x = rng.normal(size=(3, self.w.n))
rows = np.sort(rng.choice(self.w.n, 400, replace=False))
self.assertTrue(np.array_equal(self.w.nb_sum_at(x, rows), self.w.nb_sum(x)[:, rows]))
self.assertTrue(np.array_equal(self.w.nb_sum_at(x[0], rows), self.w.nb_sum(x[0])[rows]))
def test_prospective_matches_full(self):
from worldhistory.adaptation import prospective
for seed, frac in ((0, 0.02), (1, 0.2), (2, 0.0005), (3, 0.9)):
a, b = sparse_state(self.w.n, seed, frac), sparse_state(self.w.n, seed, frac)
prospective(a, self.w)
prospective_full(b, self.w)
with self.subTest(seed=seed):
self.assertTrue(np.array_equal(a.O, b.O))
self.assertFalse(np.array_equal(a.O, sparse_state(self.w.n, seed, frac).O)) # it did change O
def test_step_tech_matches_full(self):
from tests.helpers import make_history, make_race
from worldhistory.tech import step_tech
tp = make_history().tech
races = [make_race("a"), make_race("b", tech={"farming": 2.0})]
for seed, frac in ((0, 0.02), (1, 0.3), (2, 0.9)):
for passes in (1, 2):
a, b = sparse_state(self.w.n, seed, frac), sparse_state(self.w.n, seed, frac)
for _ in range(3):
step_tech(a, self.w, races, {**tp, "passes": passes}, 1.5)
step_tech_full(b, self.w, races, {**tp, "passes": passes}, 1.5)
with self.subTest(seed=seed, passes=passes):
self.assertTrue(np.array_equal(a.T, b.T))
def inherit_full(st, world, races, rules, births, regions, ok):
"""The original inherit: neighbour sums and gates over every cell."""
from worldhistory.lineage import _born, convert, native, progress, smoothstep
for rule in _born(rules):
s, p = rule["s"], rule["p"]
spec = races[s].emerge
Ps, Pp = st.P[s], st.P[p]
near_s = Ps + world.nb_sum(Ps)
near = near_s + Pp + world.nb_sum(Pp)
share = np.where(near > 0, near_s / np.maximum(near, 1e-12), 0.0)
where = (Pp > 0) & (births[p] > 0) & (near_s > 0) & ok[s]
if spec["spread"] == "region" and spec["region"]:
where &= regions(spec["region"])
if spec["mode"] == "ritual":
gate = np.ones(world.n)
else:
a = progress(st.O[p], races[p], races[s])
gate = smoothstep((a - spec["mix_min"]) / max(spec["birth_sure"] - spec["mix_min"], 1e-12))
amt = np.where(where, spec["dominance"] * gate * share * births[p], 0.0)
cells = np.flatnonzero(amt > 0)
if len(cells):
convert(st, p, s, cells, amt[cells], O_new=np.repeat(native(races[s])[:, None], len(cells), 1))
class InheritFastTest(unittest.TestCase):
def test_inherit_matches_full(self):
from tests.helpers import globe_world, make_history, make_race
from tests.test_lineage import D, PARENT_TOL, SUB_TOL
from worldhistory.config import link
from worldhistory.habitat import native_optima
from worldhistory.lineage import inherit, init_rules
from worldhistory.regions import Regions
w = globe_world(2)
for seed, emerge in enumerate(({}, {"mode": "ritual"}, {"spread": "region", "region": "north"})):
races = link(make_history(regions={"north": {"kind": "box", "lat": [0, 90], "lon": [-180, 180]}}), [make_race("p", tolerance=PARENT_TOL),
make_race("s", tolerance=SUB_TOL, emerge={"parent": "p", **emerge})])
regs = Regions(w, {"north": {"kind": "box", "lat": [0, 90], "lon": [-180, 180]}})
out = []
for fn in (inherit, inherit_full):
rng = np.random.default_rng(seed)
st = new_state(2, w.n, native_optima(races), seed=0)
st.P[:] = np.where(rng.random((2, w.n)) < 0.1, rng.random((2, w.n)) * 500, 0.0)
st.O[0, D] = rng.uniform(0, 2500, w.n).astype(st.O.dtype)
births = np.where(rng.random((2, w.n)) < 0.7, rng.random((2, w.n)) * 20, 0.0)
ok = rng.random((2, w.n)) < 0.8
rules = init_rules(races)
rules[0]["origin"] = 0
fn(st, w, races, rules, births, regs, ok)
out.append(st)
with self.subTest(emerge=emerge):
self.assertTrue(np.array_equal(out[0].P, out[1].P))
self.assertTrue(np.array_equal(out[0].O, out[1].O))
self.assertGreater(out[0].P[1].sum(), 0)
class ChangeCellsTest(unittest.TestCase):
def test_compiled_scan_matches_numpy(self):
if S._change_cells_jit is None:
self.skipTest("numba not installed")
rng = np.random.default_rng(11)
n = 20000
for seed in range(5):
P = np.where(rng.random(n) < 0.3, rng.random(n) * 1e3, 0.0)
k = rng.choice(n, 400, replace=False)
P[k[:100]] = -0.0
P[k[100:200]] = rng.random(100) * 1e-12
P[k[200:250]] = -rng.random(50)
P[k[250:270]] = np.nan
P[k[270:280]] = -np.nan
P[k[280:290]] = 1e-12
C = np.where(rng.random((1, n)) < 0.05, rng.random((1, n)), 0.0)
C[0, k[290:300]] = np.nan
C[0, k[300:310]] = -0.0
src, dst = rng.integers(0, n, 300), rng.integers(0, n, 300)
for wide in ([C], []):
with self.subTest(seed=seed, wide=len(wide)):
self.assertTrue(np.array_equal(S.change_cells(P, wide, src, dst), S._change_cells_np(P, wide, src, dst)))
if __name__ == "__main__":
unittest.main()
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