def sinc(x):
if torch.is_tensor(x):
return torch.sinc(x)
x = x * pi
return cmath.sin(x) / x if x != 0 else 1
def pointwise_ops(self):
a = torch.randn(4)
b = torch.randn(4)
t = torch.tensor([-1, -2, 3], dtype=torch.int8)
r = torch.tensor([0, 1, 10, 0], dtype=torch.int8)
t = torch.tensor([-1, -2, 3], dtype=torch.int8)
s = torch.tensor([4, 0, 1, 0], dtype=torch.int8)
f = torch.zeros(3)
g = torch.tensor([-1, 0, 1])
w = torch.tensor([0.3810, 1.2774, -0.2972, -0.3719, 0.4637])
return (
torch.abs(torch.tensor([-1, -2, 3])),
torch.absolute(torch.tensor([-1, -2, 3])),
torch.acos(a),
torch.arccos(a),
torch.acosh(a.uniform_(1.0, 2.0)),
torch.add(a, 20),
torch.add(a, torch.randn(4, 1), alpha=10),
torch.addcdiv(torch.randn(1, 3),
torch.randn(3, 1),
torch.randn(1, 3),
value=0.1),
torch.addcmul(torch.randn(1, 3),
torch.randn(3, 1),
torch.randn(1, 3),
value=0.1),
torch.angle(a),
torch.asin(a),
torch.arcsin(a),
torch.asinh(a),
torch.arcsinh(a),
torch.atan(a),
torch.arctan(a),
torch.atanh(a.uniform_(-1.0, 1.0)),
torch.arctanh(a.uniform_(-1.0, 1.0)),
torch.atan2(a, a),
torch.bitwise_not(t),
torch.bitwise_and(t, torch.tensor([1, 0, 3], dtype=torch.int8)),
torch.bitwise_or(t, torch.tensor([1, 0, 3], dtype=torch.int8)),
torch.bitwise_xor(t, torch.tensor([1, 0, 3], dtype=torch.int8)),
torch.ceil(a),
torch.clamp(a, min=-0.5, max=0.5),
torch.clamp(a, min=0.5),
torch.clamp(a, max=0.5),
torch.clip(a, min=-0.5, max=0.5),
torch.conj(a),
torch.copysign(a, 1),
torch.copysign(a, b),
torch.cos(a),
torch.cosh(a),
torch.deg2rad(
torch.tensor([[180.0, -180.0], [360.0, -360.0], [90.0,
-90.0]])),
torch.div(a, b),
torch.divide(a, b, rounding_mode="trunc"),
torch.divide(a, b, rounding_mode="floor"),
torch.digamma(torch.tensor([1.0, 0.5])),
torch.erf(torch.tensor([0.0, -1.0, 10.0])),
torch.erfc(torch.tensor([0.0, -1.0, 10.0])),
torch.erfinv(torch.tensor([0.0, 0.5, -1.0])),
torch.exp(torch.tensor([0.0, math.log(2.0)])),
torch.exp2(torch.tensor([0.0, math.log(2.0), 3.0, 4.0])),
torch.expm1(torch.tensor([0.0, math.log(2.0)])),
torch.fake_quantize_per_channel_affine(
torch.randn(2, 2, 2),
(torch.randn(2) + 1) * 0.05,
torch.zeros(2),
1,
0,
255,
),
torch.fake_quantize_per_tensor_affine(a, 0.1, 0, 0, 255),
torch.float_power(torch.randint(10, (4, )), 2),
torch.float_power(torch.arange(1, 5), torch.tensor([2, -3, 4,
-5])),
torch.floor(a),
# torch.floor_divide(torch.tensor([4.0, 3.0]), torch.tensor([2.0, 2.0])),
# torch.floor_divide(torch.tensor([4.0, 3.0]), 1.4),
torch.fmod(torch.tensor([-3, -2, -1, 1, 2, 3]), 2),
torch.fmod(torch.tensor([1, 2, 3, 4, 5]), 1.5),
torch.frac(torch.tensor([1.0, 2.5, -3.2])),
torch.randn(4, dtype=torch.cfloat).imag,
torch.ldexp(torch.tensor([1.0]), torch.tensor([1])),
torch.ldexp(torch.tensor([1.0]), torch.tensor([1, 2, 3, 4])),
torch.lerp(torch.arange(1.0, 5.0),
torch.empty(4).fill_(10), 0.5),
torch.lerp(
torch.arange(1.0, 5.0),
torch.empty(4).fill_(10),
torch.full_like(torch.arange(1.0, 5.0), 0.5),
),
torch.lgamma(torch.arange(0.5, 2, 0.5)),
torch.log(torch.arange(5) + 10),
torch.log10(torch.rand(5)),
torch.log1p(torch.randn(5)),
torch.log2(torch.rand(5)),
torch.logaddexp(torch.tensor([-1.0]), torch.tensor([-1, -2, -3])),
torch.logaddexp(torch.tensor([-100.0, -200.0, -300.0]),
torch.tensor([-1, -2, -3])),
torch.logaddexp(torch.tensor([1.0, 2000.0, 30000.0]),
torch.tensor([-1, -2, -3])),
torch.logaddexp2(torch.tensor([-1.0]), torch.tensor([-1, -2, -3])),
torch.logaddexp2(torch.tensor([-100.0, -200.0, -300.0]),
torch.tensor([-1, -2, -3])),
torch.logaddexp2(torch.tensor([1.0, 2000.0, 30000.0]),
torch.tensor([-1, -2, -3])),
torch.logical_and(r, s),
torch.logical_and(r.double(), s.double()),
torch.logical_and(r.double(), s),
torch.logical_and(r, s, out=torch.empty(4, dtype=torch.bool)),
torch.logical_not(torch.tensor([0, 1, -10], dtype=torch.int8)),
torch.logical_not(
torch.tensor([0.0, 1.5, -10.0], dtype=torch.double)),
torch.logical_not(
torch.tensor([0.0, 1.0, -10.0], dtype=torch.double),
out=torch.empty(3, dtype=torch.int16),
),
torch.logical_or(r, s),
torch.logical_or(r.double(), s.double()),
torch.logical_or(r.double(), s),
torch.logical_or(r, s, out=torch.empty(4, dtype=torch.bool)),
torch.logical_xor(r, s),
torch.logical_xor(r.double(), s.double()),
torch.logical_xor(r.double(), s),
torch.logical_xor(r, s, out=torch.empty(4, dtype=torch.bool)),
torch.logit(torch.rand(5), eps=1e-6),
torch.hypot(torch.tensor([4.0]), torch.tensor([3.0, 4.0, 5.0])),
torch.i0(torch.arange(5, dtype=torch.float32)),
torch.igamma(a, b),
torch.igammac(a, b),
torch.mul(torch.randn(3), 100),
torch.multiply(torch.randn(4, 1), torch.randn(1, 4)),
torch.mvlgamma(torch.empty(2, 3).uniform_(1.0, 2.0), 2),
torch.tensor([float("nan"),
float("inf"), -float("inf"), 3.14]),
torch.nan_to_num(w),
torch.nan_to_num(w, nan=2.0),
torch.nan_to_num(w, nan=2.0, posinf=1.0),
torch.neg(torch.randn(5)),
# torch.nextafter(torch.tensor([1, 2]), torch.tensor([2, 1])) == torch.tensor([eps + 1, 2 - eps]),
torch.polygamma(1, torch.tensor([1.0, 0.5])),
torch.polygamma(2, torch.tensor([1.0, 0.5])),
torch.polygamma(3, torch.tensor([1.0, 0.5])),
torch.polygamma(4, torch.tensor([1.0, 0.5])),
torch.pow(a, 2),
torch.pow(torch.arange(1.0, 5.0), torch.arange(1.0, 5.0)),
torch.rad2deg(
torch.tensor([[3.142, -3.142], [6.283, -6.283],
[1.570, -1.570]])),
torch.randn(4, dtype=torch.cfloat).real,
torch.reciprocal(a),
torch.remainder(torch.tensor([-3.0, -2.0]), 2),
torch.remainder(torch.tensor([1, 2, 3, 4, 5]), 1.5),
torch.round(a),
torch.rsqrt(a),
torch.sigmoid(a),
torch.sign(torch.tensor([0.7, -1.2, 0.0, 2.3])),
torch.sgn(a),
torch.signbit(torch.tensor([0.7, -1.2, 0.0, 2.3])),
torch.sin(a),
torch.sinc(a),
torch.sinh(a),
torch.sqrt(a),
torch.square(a),
torch.sub(torch.tensor((1, 2)), torch.tensor((0, 1)), alpha=2),
torch.tan(a),
torch.tanh(a),
torch.trunc(a),
torch.xlogy(f, g),
torch.xlogy(f, g),
torch.xlogy(f, 4),
torch.xlogy(2, g),
)
def forward(self, x):
return torch.sinc(x)
import pykeops
import torch
import math
from pykeops.torch import LazyTensor
device = "cuda" if torch.cuda.is_available() else "cpu"
x = torch.rand(5, 1) * 2 * math.pi
y = x.data.clone()
x = x.to(device)
y = y.to(device)
x.requires_grad = True
y.requires_grad = True
x_i = LazyTensor(x[:, None])
s1 = x_i.sinc().sum(0)
s2 = torch.sum(torch.sinc(y))
print("s1 - s2", torch.abs(s1 - s2).item())
assert torch.abs(s1 - s2) < 1e-3, torch.abs(s1 - s2)
s1.backward()
s2.backward()
print("grad_s1 - grad_s2", torch.max(torch.abs(x.grad - y.grad)).item())
assert torch.max(torch.abs(x.grad - y.grad)) < 1e-3
torch.sigmoid(a) # sign torch.sign(torch.tensor([0.7, -1.2, 0., 2.3])) # sgn torch.tensor([3 + 4j, 7 - 24j, 0, 1 + 2j]).sgn() # signbit torch.signbit(torch.tensor([0.7, -1.2, 0., 2.3])) # sin torch.sin(a) # sinc torch.sinc(a) # sinh torch.sinh(a) # sqrt torch.sqrt(a) # square torch.square(a) # sub/subtract torch.sub(torch.tensor((1, 2)), torch.tensor((0, 1)), alpha=2) # tan torch.tan(a)