import torch
from torch._inductor.select_algorithm import extern_kernels
import triton
import triton.language as tl
from torch._inductor.runtime.triton_heuristics import grid
from torch._C import _cuda_getCurrentRawStream as get_raw_stream
from torch._inductor.runtime.triton_helpers import libdevice
import torch.nn as nn
from torch.autograd import Variable
from torch.distributions import Categorical
assert_size_stride = torch._C._dynamo.guards.assert_size_stride
empty_strided_cuda = torch._C._dynamo.guards._empty_strided_cuda
reinterpret_tensor = torch._C._dynamo.guards._reinterpret_tensor


@triton.jit
def triton_poi_fused_add_elu_0(in_ptr0, out_ptr0, xnumel, XBLOCK: tl.constexpr
    ):
    xnumel = 256
    xoffset = tl.program_id(0) * XBLOCK
    xindex = xoffset + tl.arange(0, XBLOCK)[:]
    xmask = xindex < xnumel
    x0 = xindex
    tmp0 = tl.load(in_ptr0 + x0, xmask)
    tmp1 = 0.0
    tmp2 = tmp0 > tmp1
    tmp3 = 1.0
    tmp4 = tmp0 * tmp3
    tmp5 = libdevice.expm1(tmp4)
    tmp6 = tmp5 * tmp3
    tmp7 = tl.where(tmp2, tmp4, tmp6)
    tmp8 = tmp7 + tmp3
    tmp9 = 1e-15
    tmp10 = tmp8 + tmp9
    tl.store(out_ptr0 + x0, tmp10, xmask)


def call(args):
    (primals_1, primals_2, primals_3, primals_4, primals_5, primals_6,
        primals_7) = args
    args.clear()
    assert_size_stride(primals_1, (4, 4), (4, 1))
    assert_size_stride(primals_2, (4,), (1,))
    assert_size_stride(primals_3, (4, 4, 4, 4), (64, 16, 4, 1))
    assert_size_stride(primals_4, (4, 4), (4, 1))
    assert_size_stride(primals_5, (4,), (1,))
    assert_size_stride(primals_6, (4, 4), (4, 1))
    assert_size_stride(primals_7, (4,), (1,))
    with torch.cuda._DeviceGuard(0):
        torch.cuda.set_device(0)
        buf0 = empty_strided_cuda((64, 4), (4, 1), torch.float32)
        extern_kernels.addmm(primals_2, reinterpret_tensor(primals_3, (64, 
            4), (4, 1), 0), reinterpret_tensor(primals_1, (4, 4), (1, 4), 0
            ), alpha=1, beta=1, out=buf0)
        del primals_1
        del primals_2
        buf1 = empty_strided_cuda((64, 4), (4, 1), torch.float32)
        extern_kernels.addmm(primals_5, reinterpret_tensor(primals_3, (64, 
            4), (4, 1), 0), reinterpret_tensor(primals_4, (4, 4), (1, 4), 0
            ), alpha=1, beta=1, out=buf1)
        del primals_4
        del primals_5
        buf2 = empty_strided_cuda((4, 4, 4, 4), (64, 16, 4, 1), torch.float32)
        get_raw_stream(0)
        triton_poi_fused_add_elu_0[grid(256)](buf1, buf2, 256, XBLOCK=256,
            num_warps=4, num_stages=1)
        buf3 = empty_strided_cuda((64, 4), (4, 1), torch.float32)
        extern_kernels.addmm(primals_7, reinterpret_tensor(primals_3, (64, 
            4), (4, 1), 0), reinterpret_tensor(primals_6, (4, 4), (1, 4), 0
            ), alpha=1, beta=1, out=buf3)
        del primals_6
        del primals_7
    return reinterpret_tensor(buf0, (4, 4, 4, 4), (64, 16, 4, 1), 0
        ), buf2, reinterpret_tensor(buf3, (4, 4, 4, 4), (64, 16, 4, 1), 0
        ), reinterpret_tensor(primals_3, (64, 4), (4, 1), 0), buf1


class MixtureDensityHeadNew(nn.Module):

    def __init__(self, config: 'DictConfig', **kwargs):
        self.hparams = config
        super().__init__()
        self._build_network()

    def _build_network(self):
        self.pi = nn.Linear(self.hparams.input_dim, self.hparams.num_gaussian)
        nn.init.normal_(self.pi.weight)
        self.sigma = nn.Linear(self.hparams.input_dim, self.hparams.
            num_gaussian, bias=self.hparams.sigma_bias_flag)
        self.mu = nn.Linear(self.hparams.input_dim, self.hparams.num_gaussian)
        nn.init.normal_(self.mu.weight)
        if self.hparams.mu_bias_init is not None:
            for i, bias in enumerate(self.hparams.mu_bias_init):
                nn.init.constant_(self.mu.bias[i], bias)

    def gaussian_probability(self, sigma, mu, target, log=False):
        """Returns the probability of `target` given MoG parameters `sigma` and `mu`.

        Arguments:
            sigma (BxGxO): The standard deviation of the Gaussians. B is the batch
                size, G is the number of Gaussians, and O is the number of
                dimensions per Gaussian.
            mu (BxGxO): The means of the Gaussians. B is the batch size, G is the
                number of Gaussians, and O is the number of dimensions per Gaussian.
            target (BxI): A batch of target. B is the batch size and I is the number of
                input dimensions.
        Returns:
            probabilities (BxG): The probability of each point in the probability
                of the distribution in the corresponding sigma/mu index.
        """
        target = target.expand_as(sigma)
        if log:
            ret = -torch.log(sigma) - 0.5 * LOG2PI - 0.5 * torch.pow((
                target - mu) / sigma, 2)
        else:
            ret = ONEOVERSQRT2PI / sigma * torch.exp(-0.5 * ((target - mu) /
                sigma) ** 2)
        return ret

    def log_prob(self, pi, sigma, mu, y):
        log_component_prob = self.gaussian_probability(sigma, mu, y, log=True)
        log_mix_prob = torch.log(nn.functional.gumbel_softmax(pi, tau=self.
            hparams.softmax_temperature, dim=-1) + 1e-15)
        return torch.logsumexp(log_component_prob + log_mix_prob, dim=-1)

    def sample(self, pi, sigma, mu):
        """Draw samples from a MoG."""
        categorical = Categorical(pi)
        pis = categorical.sample().unsqueeze(1)
        sample = Variable(sigma.data.new(sigma.size(0), 1).normal_())
        sample = sample * sigma.gather(1, pis) + mu.gather(1, pis)
        return sample

    def generate_samples(self, pi, sigma, mu, n_samples=None):
        if n_samples is None:
            n_samples = self.hparams.n_samples
        samples = []
        softmax_pi = nn.functional.gumbel_softmax(pi, tau=self.hparams.
            softmax_temperature, dim=-1)
        assert (softmax_pi < 0).sum().item(
            ) == 0, 'pi parameter should not have negative'
        for _ in range(n_samples):
            samples.append(self.sample(softmax_pi, sigma, mu))
        samples = torch.cat(samples, dim=1)
        return samples

    def generate_point_predictions(self, pi, sigma, mu, n_samples=None):
        samples = self.generate_samples(pi, sigma, mu, n_samples)
        if self.hparams.central_tendency == 'mean':
            y_hat = torch.mean(samples, dim=-1)
        elif self.hparams.central_tendency == 'median':
            y_hat = torch.median(samples, dim=-1).values
        return y_hat.unsqueeze(1)

    def forward(self, input_0):
        primals_1 = self.pi.weight
        primals_2 = self.pi.bias
        primals_4 = self.sigma.weight
        primals_5 = self.sigma.bias
        primals_6 = self.mu.weight
        primals_7 = self.mu.bias
        primals_3 = input_0
        output = call([primals_1, primals_2, primals_3, primals_4,
            primals_5, primals_6, primals_7])
        return output[0], output[1], output[2]


Measured latency_ms: 0.034298