aced/src/cg.c

372 lines
14 KiB
C

#include "../includes/cg.h"
#include <stdio.h>
static inline size_t CgJointIndex(size_t a_out, size_t b_out,
size_t a_in __attribute__((unused)),
size_t b_in, size_t a_out_i, size_t b_out_i,
size_t a_in_i, size_t b_in_i) {
return b_out_i +
(b_out - 1) * (b_in_i + b_in * (a_out_i + (a_out - 1) * a_in_i));
}
static inline size_t CgAMarginalIndex(size_t a_out, size_t b_out, size_t a_in,
size_t b_in, size_t a_out_i,
size_t a_in_i) {
return (a_out - 1) * (b_out - 1) * a_in * b_in + a_out_i +
(a_out - 1) * a_in_i;
}
static inline size_t CgBMarginalIndex(size_t a_out, size_t b_out, size_t a_in,
size_t b_in, size_t b_out_i,
size_t b_in_i) {
return (a_out - 1) * (b_out - 1) * a_in * b_in + (a_out - 1) * a_in +
b_out_i + (b_out - 1) * b_in_i;
}
static inline size_t PIndex(size_t a_out, size_t b_out,
size_t a_in __attribute__((unused)), size_t b_in,
size_t a_out_i, size_t b_out_i, size_t a_in_i,
size_t b_in_i) {
return b_out_i + b_out * (b_in_i + b_in * (a_out_i + a_out * a_in_i));
}
static inline size_t AInPermuted(size_t a_in_i, const size_t *a_in_perm) {
return a_in_perm[a_in_i];
}
static inline size_t BInPermuted(size_t b_in_i, const size_t *b_in_perm) {
return b_in_perm[b_in_i];
}
static inline size_t AOutPermuted(size_t a_out_i, size_t a_in_i,
const permutation_generator_t *a_out_perms) {
return a_out_perms[a_in_i].permutation[a_out_i];
}
static inline size_t BOutPermuted(size_t b_out_i, size_t b_in_i,
const permutation_generator_t *b_out_perms) {
return b_out_perms[b_in_i].permutation[b_out_i];
}
void FromCgToP(const size_t a_out, const size_t b_out, const size_t a_in,
const size_t b_in, const data_t *restrict cg, data_t *restrict p,
const size_t *a_in_perm, const size_t *b_in_perm,
const permutation_generator_t *restrict a_out_perms,
const permutation_generator_t *restrict b_out_perms) {
size_t p_row_size = a_out * a_in * b_out * b_in;
size_t cg_row_size = ((a_out - 1) * (b_out - 1) * a_in * b_in +
(a_out - 1) * a_in + (b_out - 1) * b_in) +
1; // +1 accounts for L.
for (size_t i = 0; i < p_row_size; i++) {
p[i] = 0;
}
// Copy the given joint probabilities
for (size_t a_in_i = 0; a_in_i < a_in; a_in_i++) {
for (size_t b_in_i = 0; b_in_i < b_in; b_in_i++) {
for (size_t a_out_i = 0; a_out_i < a_out - 1; a_out_i++) {
for (size_t b_out_i = 0; b_out_i < b_out - 1; b_out_i++) {
size_t cg_index = CgJointIndex(a_out, b_out, a_in, b_in, a_out_i,
b_out_i, a_in_i, b_in_i);
size_t p_index = PIndex(
a_out, b_out, a_in, b_in,
AOutPermuted(a_out_i, AInPermuted(a_in_i, a_in_perm),
a_out_perms),
BOutPermuted(b_out_i, BInPermuted(b_in_i, b_in_perm),
b_out_perms),
AInPermuted(a_in_i, a_in_perm), BInPermuted(b_in_i, b_in_perm));
p[p_index] += cg[cg_index];
}
}
}
}
// L contributes to every joint probability, for a fixed choice of inputs,
// which we'll take to be 0,0.
data_t l = cg[cg_row_size - 1];
for (size_t a_out_i = 0; a_out_i < a_out; a_out_i++) {
for (size_t b_out_i = 0; b_out_i < b_out; b_out_i++) {
size_t a_in_i = 0;
size_t b_in_i = 0;
size_t p_index = PIndex(
a_out, b_out, a_in, b_in,
AOutPermuted(a_out_i, AInPermuted(a_in_i, a_in_perm), a_out_perms),
BOutPermuted(b_out_i, BInPermuted(b_in_i, b_in_perm), b_out_perms),
AInPermuted(a_in_i, a_in_perm), BInPermuted(b_in_i, b_in_perm));
p[p_index] += l;
}
}
// Account for the marginal probabilities given.
// The convention will be that, where ambiguous, i.e., in the input of the
// other party, we will take it to be 0.
// A's marginals:
for (size_t a_in_i = 0; a_in_i < a_in; a_in_i++) {
for (size_t a_out_i = 0; a_out_i < a_out - 1; a_out_i++) {
size_t cg_index =
CgAMarginalIndex(a_out, b_out, a_in, b_in, a_out_i, a_in_i);
data_t a_marginal = cg[cg_index];
if (a_marginal == 0) {
continue;
}
for (size_t b_out_i = 0; b_out_i < b_out; b_out_i++) {
size_t b_in_i = 0;
size_t p_index = PIndex(
a_out, b_out, a_in, b_in,
AOutPermuted(a_out_i, AInPermuted(a_in_i, a_in_perm), a_out_perms),
BOutPermuted(b_out_i, BInPermuted(b_in_i, b_in_perm), b_out_perms),
AInPermuted(a_in_i, a_in_perm), BInPermuted(b_in_i, b_in_perm));
p[p_index] += a_marginal;
// PrintP(a_out, b_out, a_in, b_in, p);
}
}
}
// B's marginals:
for (size_t b_in_i = 0; b_in_i < b_in; b_in_i++) {
for (size_t b_out_i = 0; b_out_i < b_out - 1; b_out_i++) {
size_t cg_index = (a_out - 1) * (b_out - 1) * a_in * b_in +
(a_out - 1) * a_in + b_out_i + (b_out - 1) * b_in_i;
data_t b_marginal = cg[cg_index];
if (b_marginal == 0) {
continue;
}
for (size_t a_out_i = 0; a_out_i < a_out; a_out_i++) {
size_t a_in_i = 0;
size_t p_index = PIndex(
a_out, b_out, a_in, b_in,
AOutPermuted(a_out_i, AInPermuted(a_in_i, a_in_perm), a_out_perms),
BOutPermuted(b_out_i, BInPermuted(b_in_i, b_in_perm), b_out_perms),
AInPermuted(a_in_i, a_in_perm), BInPermuted(b_in_i, b_in_perm));
p[p_index] += b_marginal;
// PrintP(a_out, b_out, a_in, b_in, p);
}
}
}
}
void FromPToCg(const size_t a_out, const size_t b_out, const size_t a_in,
const size_t b_in, data_t *restrict cg,
const data_t *restrict p) {
size_t cg_len = ((a_out - 1) * (b_out - 1) * a_in * b_in +
(a_out - 1) * a_in + (b_out - 1) * b_in) +
1;
// 1. Copy the common factors & zero-out the marginals
for (size_t a_out_i = 0; a_out_i < a_out - 1; a_out_i++) {
for (size_t a_in_i = 0; a_in_i < a_in; a_in_i++) {
for (size_t b_out_i = 0; b_out_i < b_out - 1; b_out_i++) {
for (size_t b_in_i = 0; b_in_i < b_in; b_in_i++) {
{ // Common factors
size_t p_index = PIndex(a_out, b_out, a_in, b_in, a_out_i, b_out_i,
a_in_i, b_in_i);
size_t cg_index = CgJointIndex(a_out, b_out, a_in, b_in, a_out_i,
b_out_i, a_in_i, b_in_i);
cg[cg_index] = p[p_index];
}
}
}
{ // Zero A's marginals
size_t cg_marginal_index =
CgAMarginalIndex(a_out, b_out, a_in, b_in, a_out_i, a_in_i);
cg[cg_marginal_index] = 0;
}
}
}
// Zero B's marginals
for (size_t b_out_i = 0; b_out_i < b_out - 1; b_out_i++) {
for (size_t b_in_i = 0; b_in_i < b_in; b_in_i++) {
size_t cg_marginal_index =
CgBMarginalIndex(a_out, b_out, a_in, b_in, b_out_i, b_in_i);
cg[cg_marginal_index] = 0;
}
}
// 2. Contributions from the terms with both output labels OOBs
{
data_t *l = cg + (cg_len - 1);
*l = 0;
for (size_t a_in_i = 0; a_in_i < a_in; a_in_i++) {
for (size_t b_in_i = 0; b_in_i < b_in; b_in_i++) {
size_t oob_p_index = PIndex(a_out, b_out, a_in, b_in, a_out - 1,
b_out - 1, a_in_i, b_in_i);
// L contribution
*l += p[oob_p_index];
for (size_t a_out_i = 0; a_out_i < a_out - 1; a_out_i++) {
// Contributions to terms with no output labels OOBs
for (size_t b_out_i = 0; b_out_i < b_out - 1; b_out_i++) {
size_t cg_index = CgJointIndex(a_out, b_out, a_in, b_in, a_out_i,
b_out_i, a_in_i, b_in_i);
cg[cg_index] += p[oob_p_index];
}
{ // Contribution to A's marginal
size_t cg_marginal_index =
CgAMarginalIndex(a_out, b_out, a_in, b_in, a_out_i, a_in_i);
cg[cg_marginal_index] -= p[oob_p_index];
}
}
// Contributions to B's marginal
for (size_t b_out_i = 0; b_out_i < b_out - 1; b_out_i++) {
size_t cg_marginal_index =
CgBMarginalIndex(a_out, b_out, a_in, b_in, b_out_i, b_in_i);
cg[cg_marginal_index] -= p[oob_p_index];
}
}
}
}
// 3. Contributions from the terms with the B output label OOBs
for (size_t a_in_i = 0; a_in_i < a_in; a_in_i++) {
for (size_t a_out_i = 0; a_out_i < a_out - 1; a_out_i++) {
size_t cg_marginal_index = (a_out - 1) * (b_out - 1) * a_in * b_in +
(a_out - 1) * a_in_i + a_out_i;
for (size_t b_in_i = 0; b_in_i < b_in; b_in_i++) {
size_t oob_p_index = PIndex(a_out, b_out, a_in, b_in, a_out_i,
b_out - 1, a_in_i, b_in_i);
// A's marginals contributions
cg[cg_marginal_index] += p[oob_p_index];
// Contributions to terms with no labels OOBs
for (size_t b_out_i = 0; b_out_i < b_out - 1; b_out_i++) {
size_t cg_index = CgJointIndex(a_out, b_out, a_in, b_in, a_out_i,
b_out_i, a_in_i, b_in_i);
cg[cg_index] -= p[oob_p_index];
}
}
}
}
// 4. Contributions from the A output label OOBs.
for (size_t b_in_i = 0; b_in_i < b_in; b_in_i++) {
for (size_t b_out_i = 0; b_out_i < b_out - 1; b_out_i++) {
size_t cg_marginal_index =
CgBMarginalIndex(a_out, b_out, a_in, b_in, b_out_i, b_in_i);
for (size_t a_in_i = 0; a_in_i < a_in; a_in_i++) {
// B's marginals contributions
size_t oob_p_index = PIndex(a_out, b_out, a_in, b_in, a_out - 1,
b_out_i, a_in_i, b_in_i);
cg[cg_marginal_index] += p[oob_p_index];
// Other contributions
for (size_t a_out_i = 0; a_out_i < a_out - 1; a_out_i++) {
size_t cg_index = CgJointIndex(a_out, b_out, a_in, b_in, a_out_i,
b_out_i, a_in_i, b_in_i);
cg[cg_index] -= p[oob_p_index];
}
}
}
}
}
void PSwapParties(const size_t out, const size_t in, data_t *p) {
for (size_t a_out_i = 0; a_out_i < out; a_out_i++) {
for (size_t b_out_i = a_out_i + 1; b_out_i < out; b_out_i++) {
for (size_t a_in_i = 0; a_in_i < in; a_in_i++) {
for (size_t b_in_i = a_in_i + 1; b_in_i < in; b_in_i++) {
size_t u = PIndex(out, out, in, in, a_out_i, b_out_i, a_in_i, b_in_i);
size_t v = PIndex(out, out, in, in, b_out_i, a_out_i, b_in_i, a_in_i);
data_t tmp = p[u];
p[u] = p[v];
p[v] = tmp;
}
}
}
}
}
void PrintCg(size_t a_out, size_t b_out, size_t a_in, size_t b_in,
const data_t *cg) {
for (size_t a_in_i = 0; a_in_i < a_in; a_in_i++) {
for (size_t b_in_i = 0; b_in_i < b_in; b_in_i++) {
for (size_t a_out_i = 0; a_out_i < a_out - 1; a_out_i++) {
for (size_t b_out_i = 0; b_out_i < b_out - 1; b_out_i++) {
size_t idx =
b_out_i +
(b_out - 1) * (b_in_i + b_in * (a_out_i + (a_out - 1) * a_in_i));
if (cg[idx] != 0) {
printf("(%zu,%zu|%zu,%zu): %" PRImDATA ", ", a_out_i, b_out_i,
a_in_i, b_in_i, cg[idx]);
}
}
}
}
}
for (size_t a_in_i = 0; a_in_i < a_in; a_in_i++) {
for (size_t a_out_i = 0; a_out_i < a_out - 1; a_out_i++) {
size_t idx = (a_out - 1) * (b_out - 1) * a_in * b_in + a_out_i +
(a_out - 1) * a_in_i;
if (cg[idx] != 0) {
printf("A(%zu|%zu): %" PRImDATA ", ", a_out_i, a_in_i, cg[idx]);
}
}
}
for (size_t b_in_i = 0; b_in_i < b_in; b_in_i++) {
for (size_t b_out_i = 0; b_out_i < b_out - 1; b_out_i++) {
size_t idx = (a_out - 1) * (b_out - 1) * a_in * b_in +
(a_out - 1) * a_in + b_out_i + (b_out - 1) * b_in_i;
if (cg[idx] != 0) {
printf("B(%zu|%zu): %" PRImDATA ", ", b_out_i, b_in_i, cg[idx]);
}
}
}
{
size_t idx = (a_out - 1) * (b_out - 1) * a_in * b_in + (a_out - 1) * a_in +
(b_out - 1) * b_in;
printf("L: %" PRImDATA, cg[idx]);
}
printf("\n");
}
// Debug print a P row.
void PrintP(size_t a_out, size_t b_out, size_t a_in, size_t b_in,
const data_t *p) {
for (size_t a_out_i = 0; a_out_i < a_out; a_out_i++) {
for (size_t b_out_i = 0; b_out_i < b_out; b_out_i++) {
for (size_t a_in_i = 0; a_in_i < a_in; a_in_i++) {
for (size_t b_in_i = 0; b_in_i < b_in; b_in_i++) {
size_t idx = PIndex(a_out, b_out, a_in, b_in, a_out_i, b_out_i,
a_in_i, b_in_i);
if (p[idx] != 0) {
printf("%s%" PRImDATA "p(%zu,%zu|%zu,%zu)", p[idx] < 0 ? "" : "+",
p[idx], a_out_i, b_out_i, a_in_i, b_in_i);
}
}
}
}
}
printf("\n");
}
void PrintPRaw(size_t a_out, size_t b_out, size_t a_in, size_t b_in,
const data_t *p) {
const size_t len = a_out * b_out * a_in * b_in;
for (size_t a_out_i = 0; a_out_i < a_out; a_out_i++) {
for (size_t b_out_i = 0; b_out_i < b_out; b_out_i++) {
for (size_t a_in_i = 0; a_in_i < a_in; a_in_i++) {
for (size_t b_in_i = 0; b_in_i < b_in; b_in_i++) {
size_t idx = PIndex(a_out, b_out, a_in, b_in, a_out_i, b_out_i,
a_in_i, b_in_i);
printf("%" PRImDATA, p[idx]);
if (idx != len - 1) {
printf(", ");
}
}
}
}
}
printf("\n");
}