def test05_scalar(t):
if not ek.is_array_v(t) or ek.array_size_v(t) == 0:
return
get_class(t.__module__)
if ek.is_mask_v(t):
assert ek.all_nested(t(True))
assert ek.any_nested(t(True))
assert ek.none_nested(t(False))
assert ek.all_nested(t(False) ^ t(True))
assert ek.all_nested(ek.eq(t(False), t(False)))
assert ek.none_nested(ek.eq(t(True), t(False)))
if ek.is_arithmetic_v(t):
assert t(1) + t(1) == t(2)
assert t(3) - t(1) == t(2)
assert t(2) * t(2) == t(4)
assert ek.min(t(2), t(3)) == t(2)
assert ek.max(t(2), t(3)) == t(3)
if ek.is_signed_v(t):
assert t(2) * t(-2) == t(-4)
assert ek.abs(t(-2)) == t(2)
if ek.is_integral_v(t):
assert t(6) // t(2) == t(3)
assert t(7) % t(2) == t(1)
assert t(7) >> 1 == t(3)
assert t(7) << 1 == t(14)
assert t(1) | t(2) == t(3)
assert t(1) ^ t(3) == t(2)
assert t(1) & t(3) == t(1)
else:
assert t(6) / t(2) == t(3)
assert ek.sqrt(t(4)) == t(2)
assert ek.fmadd(t(1), t(2), t(3)) == t(5)
assert ek.fmsub(t(1), t(2), t(3)) == t(-1)
assert ek.fnmadd(t(1), t(2), t(3)) == t(1)
assert ek.fnmsub(t(1), t(2), t(3)) == t(-5)
assert (t(1) & True) == t(1)
assert (t(1) & False) == t(0)
assert (t(1) | False) == t(1)
assert ek.all_nested(t(3) > t(2))
assert ek.all_nested(ek.eq(t(2), t(2)))
assert ek.all_nested(ek.neq(t(3), t(2)))
assert ek.all_nested(t(1) >= t(1))
assert ek.all_nested(t(2) < t(3))
assert ek.all_nested(t(1) <= t(1))
assert ek.select(ek.eq(t(2), t(2)), t(4), t(5)) == t(4)
assert ek.select(ek.eq(t(3), t(2)), t(4), t(5)) == t(5)
t2 = t(2)
assert ek.hsum(t2) == t.Value(2 * len(t2))
assert ek.dot(t2, t2) == t.Value(4 * len(t2))
assert ek.dot_async(t2, t2) == t(4 * len(t2))
value = t(1)
value[ek.eq(value, t(1))] = t(2)
value[ek.eq(value, t(3))] = t(5)
assert value == t(2)
def test51_scatter_reduce_fwd_eager(m):
with EagerMode():
for i in range(3):
idx1 = ek.arange(m.UInt, 5)
idx2 = ek.arange(m.UInt, 4) + 3
x = ek.linspace(m.Float, 0, 1, 5)
y = ek.linspace(m.Float, 1, 2, 4)
buf = ek.zero(m.Float, 10)
if i % 2 == 0:
ek.enable_grad(buf)
ek.set_grad(buf, 1)
if i // 2 == 0:
ek.enable_grad(x, y)
ek.set_grad(x, 1)
ek.set_grad(y, 1)
x.label = "x"
y.label = "y"
buf.label = "buf"
buf2 = m.Float(buf)
ek.scatter_reduce(ek.ReduceOp.Add, buf2, x, idx1)
ek.scatter_reduce(ek.ReduceOp.Add, buf2, y, idx2)
s = ek.dot_async(buf2, buf2)
# Verified against Mathematica
assert ek.allclose(ek.detach(s), 15.5972)
assert ek.allclose(ek.grad(s), (25.1667 if i // 2 == 0 else 0) +
(17 if i % 2 == 0 else 0))
def test20_scatter_add_rev(m):
for i in range(3):
idx1 = ek.arange(m.UInt, 5)
idx2 = ek.arange(m.UInt, 4) + 3
x = ek.linspace(m.Float, 0, 1, 5)
y = ek.linspace(m.Float, 1, 2, 4)
buf = ek.zero(m.Float, 10)
if i % 2 == 0:
ek.enable_grad(buf)
if i // 2 == 0:
ek.enable_grad(x, y)
x.label = "x"
y.label = "y"
buf.label = "buf"
buf2 = m.Float(buf)
ek.scatter_add(buf2, x, idx1)
ek.scatter_add(buf2, y, idx2)
ref_buf = m.Float(0.0000, 0.2500, 0.5000, 1.7500, 2.3333, 1.6667,
2.0000, 0.0000, 0.0000, 0.0000)
assert ek.allclose(ref_buf, buf2, atol=1e-4)
assert ek.allclose(ref_buf, buf, atol=1e-4)
s = ek.dot_async(buf2, buf2)
print(ek.graphviz_str(s))
ek.backward(s)
ref_x = m.Float(0.0000, 0.5000, 1.0000, 3.5000, 4.6667)
ref_y = m.Float(3.5000, 4.6667, 3.3333, 4.0000)
if i // 2 == 0:
assert ek.allclose(ek.grad(y), ek.detach(ref_y), atol=1e-4)
assert ek.allclose(ek.grad(x), ek.detach(ref_x), atol=1e-4)
else:
assert ek.grad(x) == 0
assert ek.grad(y) == 0
if i % 2 == 0:
assert ek.allclose(ek.grad(buf), ek.detach(ref_buf) * 2, atol=1e-4)
else:
assert ek.grad(buf) == 0
def test21_scatter_add_fwd(m):
for i in range(3):
idx1 = ek.arange(m.UInt, 5)
idx2 = ek.arange(m.UInt, 4) + 3
x = ek.linspace(m.Float, 0, 1, 5)
y = ek.linspace(m.Float, 1, 2, 4)
buf = ek.zero(m.Float, 10)
if i % 2 == 0:
ek.enable_grad(buf)
ek.set_grad(buf, 1)
if i // 2 == 0:
ek.enable_grad(x, y)
ek.set_grad(x, 1)
ek.set_grad(y, 1)
x.label = "x"
y.label = "y"
buf.label = "buf"
buf2 = m.Float(buf)
ek.scatter_add(buf2, x, idx1)
ek.scatter_add(buf2, y, idx2)
s = ek.dot_async(buf2, buf2)
if i % 2 == 0:
ek.enqueue(buf)
if i // 2 == 0:
ek.enqueue(x, y)
ek.traverse(m.Float, reverse=False)
# Verified against Mathematica
assert ek.allclose(ek.detach(s), 15.5972)
assert ek.allclose(ek.grad(s), (25.1667 if i // 2 == 0 else 0) +
(17 if i % 2 == 0 else 0))