import torch from torch.autograd import Function from .._ext import ffi implemented_degrees = {1: 'linear', 2: 'quadratic', 3: 'cubic'} def get_func(name, tensor): typename = type(tensor).__name__.replace('Tensor', '') cuda = 'cuda_' if tensor.is_cuda else '' func = getattr(ffi, 'spline_{}_{}{}'.format(name, cuda, typename)) return func def spline_basis(degree, pseudo, kernel_size, is_open_spline, K): s = (degree + 1)**kernel_size.size(0) pseudo = pseudo.unsqueeze(-1) if pseudo.dim() == 1 else pseudo basis = pseudo.new(pseudo.size(0), s) weight_index = kernel_size.new(pseudo.size(0), s) degree = implemented_degrees.get(degree) assert degree is not None, ( 'Basis computation not implemented for specified B-spline degree') func = get_func('basis_{}'.format(degree), pseudo) func(basis, weight_index, pseudo, kernel_size, is_open_spline, K) return basis, weight_index def spline_weighting_forward(x, weight, basis, weight_index): output = x.new(x.size(0), weight.size(2)) func = get_func('weighting_forward', x) func(output, x, weight, basis, weight_index) return output def spline_weighting_backward(grad_output, x, weight, basis, weight_index): grad_input = x.new(x.size(0), weight.size(1)).fill_(0) grad_weight = x.new(weight).fill_(0) func = get_func('weighting_backward', x) func(grad_input, grad_weight, grad_output, x, weight, basis, weight_index) return grad_input, grad_weight class SplineWeighting(Function): def __init__(self, basis, weight_index): super(SplineWeighting, self).__init__() self.basis = basis self.weight_index = weight_index def forward(self, x, weight): self.save_for_backward(x, weight) basis, weight_index = self.basis, self.weight_index return spline_weighting_forward(x, weight, basis, weight_index) def backward(self, grad_output): x, weight = self.saved_tensors basis, weight_index = self.basis, self.weight_index return spline_weighting_backward(grad_output, x, weight, basis, weight_index) def spline_weighting(x, weight, basis, weight_index): if torch.is_tensor(x): return spline_weighting_forward(x, weight, basis, weight_index) else: return SplineWeighting(basis, weight_index)(x, weight)