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#pragma once
#include "common.h"
#define CHECK_CUDA(x) AT_ASSERTM(x.type().is_cuda(), #x " must be a CUDA tensor")
#define CHECK_CONTIGUOUS(x) AT_ASSERTM(x.is_contiguous(), #x " must be contiguous")
#define CHECK_INPUT_CPU(x) CHECK_CONTIGUOUS(x)
#define CHECK_INPUT_CUDA(x) CHECK_CUDA(x); CHECK_CONTIGUOUS(x)
template <typename T, int dim=3>
struct NNFunctor {
const T* in0; // nelem0 x dim
const T* in1; // nelem1 x dim
const long nelem0;
const long nelem1;
long* out; // nelem0
NNFunctor(const T* in0, const T* in1, long nelem0, long nelem1, long* out) : in0(in0), in1(in1), nelem0(nelem0), nelem1(nelem1), out(out) {}
CPU_GPU_FUNCTION void operator()(long idx0) {
// idx0 \in [nelem0]
const T* vec0 = in0 + idx0 * dim;
T min_dist = 1e9;
long min_arg = -1;
for(long idx1 = 0; idx1 < nelem1; ++idx1) {
const T* vec1 = in1 + idx1 * dim;
T dist = 0;
for(long didx = 0; didx < dim; ++didx) {
T diff = vec0[didx] - vec1[didx];
dist += diff * diff;
}
if(dist < min_dist) {
min_dist = dist;
min_arg = idx1;
}
}
out[idx0] = min_arg;
}
};
struct CrossCheckFunctor {
const long* in0; // nelem0
const long* in1; // nelem1
const long nelem0;
const long nelem1;
uint8_t* out; // nelem0
CrossCheckFunctor(const long* in0, const long* in1, long nelem0, long nelem1, uint8_t* out) : in0(in0), in1(in1), nelem0(nelem0), nelem1(nelem1), out(out) {}
CPU_GPU_FUNCTION void operator()(long idx0) {
// idx0 \in [nelem0]
int idx1 = in0[idx0];
out[idx0] = idx1 >=0 && in1[idx1] >= 0 && idx0 == in1[idx1];
// out[idx0] = idx0 == in1[in0[idx0]];
}
};
template <typename T, int dim=3>
struct ProjNNFunctor {
// xyz0, xyz1 in coord sys of 1
const T* xyz0; // bs x height x width x 3
const T* xyz1; // bs x height x width x 3
const T* K; // 3 x 3
const long batch_size;
const long height;
const long width;
const long patch_size;
long* out; // bs x height x width
ProjNNFunctor(const T* xyz0, const T* xyz1, const T* K, long batch_size, long height, long width, long patch_size, long* out)
: xyz0(xyz0), xyz1(xyz1), K(K), batch_size(batch_size), height(height), width(width), patch_size(patch_size), out(out) {}
CPU_GPU_FUNCTION void operator()(long idx0) {
// idx0 \in [0, bs x height x width]
const long bs = idx0 / (height * width);
const T x = xyz0[idx0 * 3 + 0];
const T y = xyz0[idx0 * 3 + 1];
const T z = xyz0[idx0 * 3 + 2];
const T d = K[6] * x + K[7] * y + K[8] * z;
const T u = (K[0] * x + K[1] * y + K[2] * z) / d;
const T v = (K[3] * x + K[4] * y + K[5] * z) / d;
int u0 = u + 0.5;
int v0 = v + 0.5;
long min_idx1 = -1;
T min_dist = 1e9;
for(int pidx = 0; pidx < patch_size*patch_size; ++pidx) {
int pu = pidx % patch_size;
int pv = pidx / patch_size;
int u1 = u0 + pu - patch_size/2;
int v1 = v0 + pv - patch_size/2;
if(u1 >= 0 && v1 >= 0 && u1 < width && v1 < height) {
const long idx1 = (bs * height + v1) * width + u1;
const T* xyz1n = xyz1 + idx1 * 3;
const T d = (x-xyz1n[0]) * (x-xyz1n[0]) + (y-xyz1n[1]) * (y-xyz1n[1]) + (z-xyz1n[2]) * (z-xyz1n[2]);
if(d < min_dist) {
min_dist = d;
min_idx1 = idx1;
}
}
}
out[idx0] = min_idx1;
}
};
template <typename T, int dim=3>
struct XCorrVolFunctor {
const T* in0; // channels x height x width
const T* in1; // channels x height x width
const long channels;
const long height;
const long width;
const long n_disps;
const long block_size;
T* out; // nelem0
XCorrVolFunctor(const T* in0, const T* in1, long channels, long height, long width, long n_disps, long block_size, T* out) : in0(in0), in1(in1), channels(channels), height(height), width(width), n_disps(n_disps), block_size(block_size), out(out) {}
CPU_GPU_FUNCTION void operator()(long oidx) {
// idx0 \in [n_disps x height x width]
auto d = oidx / (height * width);
auto h = (oidx / width) % height;
auto w = oidx % width;
long block_size2 = block_size * block_size;
T val = 0;
for(int c = 0; c < channels; ++c) {
// compute means
T mu0 = 0;
T mu1 = 0;
for(int bh = 0; bh < block_size; ++bh) {
long h0 = h + bh - block_size / 2;
h0 = mmax(long(0), mmin(height-1, h0));
for(int bw = 0; bw < block_size; ++bw) {
long w0 = w + bw - block_size / 2;
long w1 = w0 - d;
w0 = mmax(long(0), mmin(width-1, w0));
w1 = mmax(long(0), mmin(width-1, w1));
long idx0 = (c * height + h0) * width + w0;
long idx1 = (c * height + h0) * width + w1;
mu0 += in0[idx0] / block_size2;
mu1 += in1[idx1] / block_size2;
}
}
// compute stds and dot product
T sigma0 = 0;
T sigma1 = 0;
T dot = 0;
for(int bh = 0; bh < block_size; ++bh) {
long h0 = h + bh - block_size / 2;
h0 = mmax(long(0), mmin(height-1, h0));
for(int bw = 0; bw < block_size; ++bw) {
long w0 = w + bw - block_size / 2;
long w1 = w0 - d;
w0 = mmax(long(0), mmin(width-1, w0));
w1 = mmax(long(0), mmin(width-1, w1));
long idx0 = (c * height + h0) * width + w0;
long idx1 = (c * height + h0) * width + w1;
T v0 = in0[idx0] - mu0;
T v1 = in1[idx1] - mu1;
dot += v0 * v1;
sigma0 += v0 * v0;
sigma1 += v1 * v1;
}
}
T norm = sqrt(sigma0 * sigma1) + 1e-8;
val += dot / norm;
}
out[oidx] = val;
}
};
const int PHOTOMETRIC_LOSS_MSE = 0;
const int PHOTOMETRIC_LOSS_SAD = 1;
const int PHOTOMETRIC_LOSS_CENSUS_MSE = 2;
const int PHOTOMETRIC_LOSS_CENSUS_SAD = 3;
template <typename T, int type>
struct PhotometricLossForward {
const T* es; // batch_size x channels x height x width;
const T* ta;
const int block_size;
const int block_size2;
const T eps;
const int batch_size;
const int channels;
const int height;
const int width;
T* out; // batch_size x channels x height x width;
PhotometricLossForward(const T* es, const T* ta, int block_size, T eps, int batch_size, int channels, int height, int width, T* out) :
es(es), ta(ta), block_size(block_size), block_size2(block_size*block_size), eps(eps), batch_size(batch_size), channels(channels), height(height), width(width), out(out) {}
CPU_GPU_FUNCTION void operator()(int outidx) {
// outidx \in [0, batch_size x height x width]
int w = outidx % width;
int h = (outidx / width) % height;
int n = outidx / (height * width);
T loss = 0;
for(int bidx = 0; bidx < block_size2; ++bidx) {
int bh = bidx / block_size;
int bw = bidx % block_size;
int h0 = h + bh - block_size / 2;
int w0 = w + bw - block_size / 2;
h0 = mmin(height-1, mmax(0, h0));
w0 = mmin(width-1, mmax(0, w0));
for(int c = 0; c < channels; ++c) {
int inidx = ((n * channels + c) * height + h0) * width + w0;
if(type == PHOTOMETRIC_LOSS_SAD || type == PHOTOMETRIC_LOSS_MSE) {
T diff = es[inidx] - ta[inidx];
if(type == PHOTOMETRIC_LOSS_MSE) {
loss += diff * diff / block_size2;
}
else if(type == PHOTOMETRIC_LOSS_SAD) {
loss += fabs(diff) / block_size2;
}
}
else if(type == PHOTOMETRIC_LOSS_CENSUS_SAD || type == PHOTOMETRIC_LOSS_CENSUS_MSE) {
int inidxc = ((n * channels + c) * height + h) * width + w;
T des = es[inidx] - es[inidxc];
T dta = ta[inidx] - ta[inidxc];
T h_des = 0.5 * (1 + des / sqrt(des * des + eps));
T h_dta = 0.5 * (1 + dta / sqrt(dta * dta + eps));
T diff = h_des - h_dta;
// printf("%d,%d %d,%d: des=%f, dta=%f, h_des=%f, h_dta=%f, diff=%f\n", h,w, h0,w0, des,dta, h_des,h_dta, diff);
// printf("%d,%d %d,%d: h_des=%f = 0.5 * (1 + %f / %f); %f, %f, %f\n", h,w, h0,w0, h_des, des, sqrt(des * des + eps), des*des, des*des+eps, eps);
if(type == PHOTOMETRIC_LOSS_CENSUS_MSE) {
loss += diff * diff / block_size2;
}
else if(type == PHOTOMETRIC_LOSS_CENSUS_SAD) {
loss += fabs(diff) / block_size2;
}
}
}
}
out[outidx] = loss;
}
};
template <typename T, int type>
struct PhotometricLossBackward {
const T* es; // batch_size x channels x height x width;
const T* ta;
const T* grad_out;
const int block_size;
const int block_size2;
const T eps;
const int batch_size;
const int channels;
const int height;
const int width;
T* grad_in; // batch_size x channels x height x width;
PhotometricLossBackward(const T* es, const T* ta, const T* grad_out, int block_size, T eps, int batch_size, int channels, int height, int width, T* grad_in) :
es(es), ta(ta), grad_out(grad_out), block_size(block_size), block_size2(block_size*block_size), eps(eps), batch_size(batch_size), channels(channels), height(height), width(width), grad_in(grad_in) {}
CPU_GPU_FUNCTION void operator()(int outidx) {
// outidx \in [0, batch_size x height x width]
int w = outidx % width;
int h = (outidx / width) % height;
int n = outidx / (height * width);
for(int bidx = 0; bidx < block_size2; ++bidx) {
int bh = bidx / block_size;
int bw = bidx % block_size;
int h0 = h + bh - block_size / 2;
int w0 = w + bw - block_size / 2;
h0 = mmin(height-1, mmax(0, h0));
w0 = mmin(width-1, mmax(0, w0));
const T go = grad_out[outidx];
for(int c = 0; c < channels; ++c) {
int inidx = ((n * channels + c) * height + h0) * width + w0;
if(type == PHOTOMETRIC_LOSS_SAD || type == PHOTOMETRIC_LOSS_MSE) {
T diff = es[inidx] - ta[inidx];
T grad = 0;
if(type == PHOTOMETRIC_LOSS_MSE) {
grad = 2 * diff;
}
else if(type == PHOTOMETRIC_LOSS_SAD) {
grad = diff < 0 ? -1 : (diff > 0 ? 1 : 0);
}
grad = grad / block_size2 * go;
matomic_add(grad_in + inidx, grad);
}
else if(type == PHOTOMETRIC_LOSS_CENSUS_SAD || type == PHOTOMETRIC_LOSS_CENSUS_MSE) {
int inidxc = ((n * channels + c) * height + h) * width + w;
T des = es[inidx] - es[inidxc];
T dta = ta[inidx] - ta[inidxc];
T h_des = 0.5 * (1 + des / sqrt(des * des + eps));
T h_dta = 0.5 * (1 + dta / sqrt(dta * dta + eps));
T diff = h_des - h_dta;
T grad_loss = 0;
if(type == PHOTOMETRIC_LOSS_CENSUS_MSE) {
grad_loss = 2 * diff;
}
else if(type == PHOTOMETRIC_LOSS_CENSUS_SAD) {
grad_loss = diff < 0 ? -1 : (diff > 0 ? 1 : 0);
}
grad_loss = grad_loss / block_size2;
T tmp = des * des + eps;
T grad_heaviside = 0.5 * eps / sqrt(tmp * tmp * tmp);
T grad = go * grad_loss * grad_heaviside;
matomic_add(grad_in + inidx, grad);
matomic_add(grad_in + inidxc, -grad);
}
}
}
}
};