def test_builder():
from hornet import build_term
from hornet.symbols import _, f, a, b, c, d, e, X, Y, Z
print(build_term(a))
print(build_term(f(a, b) << b & c & d))
print(build_term(f(X, Y) << b(X) & c(Y) & d))
print(build_term(f(X, Y) << b(X) & c(Y) & d(_, Z, [e, d | a])))
print(build_term(f(X, Y) << b(X) & c(Y) & d(_, Z, [e, d | [a]])))
print(build_term(a * (b + c)))
def diff_test(db):
F = x ** -3 + 2 * x ** 2 + 7 * (x + 9)
#F = --x
#F = 5 + x * 3 + 5 * x ** 4 * 5
#F = (2 + x) ** 3
#F = x * y * (x + 3)
print(build_term(F))
for subst in db.ask(simp(F, A) & d(A, x, B) & simp(B, C)):
pass
print(subst[A])
print(subst[B])
print(subst[C])
def diff_rules(db):
db.tell(
d(X, X, 1) << cut,
d(C, X, 0) << atomic(C) & cut,
d(U + V, X, A + B) <<
d(U, X, A) &
d(V, X, B) & cut,
d(U - V, X, A - B) <<
d(U, X, A) &
d(V, X, B) & cut,
d(C * U, X, C * A) <<
atomic(C) &
unequal(C, X) &
d(U, X, A) & cut,
d(U * V, X, B * U + A * V) <<
d(U, X, A) &
d(V, X, B) & cut,
d(U / V, X, (A * V - B * U) / (V * V)) <<
d(U, X, A) &
d(V, X, B) & cut,
d(U ** C, X, C * A * U ** (C - 1)) <<
atomic(C) &
unequal(C, X) &
d(U, X, A) & cut,
d(U ** -C, X, -C * A * U ** (-C - 1)) <<
d(U, X, A) & cut,
d(U ** C, X, C * A * U ** (C - 1)) <<
equal(C, -C1) &
atomic(C1) &
unequal(C1, X) &
d(U, X, A) & cut,
d(sin(W), X, Z * cos(W)) <<
d(W, X, Z) & cut,
d(exp(W), X, Z * exp(W)) <<
d(W, X, Z) & cut,
d(log(W), X, Z / W) <<
d(W, X, Z) & cut,
d(cos(W), X, -(Z * sin(W))) <<
d(W, X, Z) & cut,
)