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/*
* Copyright (C) 2019 Collabora, Ltd.
*
* Permission is hereby granted, free of charge, to any person obtaining a
* copy of this software and associated documentation files (the "Software"),
* to deal in the Software without restriction, including without limitation
* the rights to use, copy, modify, merge, publish, distribute, sublicense,
* and/or sell copies of the Software, and to permit persons to whom the
* Software is furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice (including the next
* paragraph) shall be included in all copies or substantial portions of the
* Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*
* Authors (Collabora):
* Alyssa Rosenzweig <alyssa.rosenzweig@collabora.com>
*/
#include <stdio.h>
#include <assert.h>
#include <stdlib.h>
#include <string.h>
#include <limits.h>
#include "util/macros.h"
#include "util/u_math.h"
#include "lcra.h"
/* This module is the reference implementation of "Linearly Constrained
* Register Allocation". The paper is available in PDF form
* (https://people.collabora.com/~alyssa/LCRA.pdf) as well as Markdown+LaTeX
* (https://gitlab.freedesktop.org/alyssa/lcra/blob/master/LCRA.md)
*/
struct lcra_state *
lcra_alloc_equations(
unsigned node_count, unsigned class_count)
{
struct lcra_state *l = calloc(1, sizeof(*l));
l->node_count = node_count;
l->class_count = class_count;
l->alignment = calloc(sizeof(l->alignment[0]), node_count);
l->linear = calloc(sizeof(l->linear[0]), node_count * node_count);
l->modulus = calloc(sizeof(l->modulus[0]), node_count);
l->class = calloc(sizeof(l->class[0]), node_count);
l->class_start = calloc(sizeof(l->class_start[0]), class_count);
l->class_disjoint = calloc(sizeof(l->class_disjoint[0]), class_count * class_count);
l->class_size = calloc(sizeof(l->class_size[0]), class_count);
l->spill_cost = calloc(sizeof(l->spill_cost[0]), node_count);
l->solutions = calloc(sizeof(l->solutions[0]), node_count);
memset(l->solutions, ~0, sizeof(l->solutions[0]) * node_count);
return l;
}
void
lcra_free(struct lcra_state *l)
{
if (!l)
return;
free(l->alignment);
free(l->linear);
free(l->modulus);
free(l->class);
free(l->class_start);
free(l->class_disjoint);
free(l->class_size);
free(l->spill_cost);
free(l->solutions);
free(l);
}
void
lcra_set_alignment(struct lcra_state *l, unsigned node, unsigned align_log2, unsigned bound)
{
l->alignment[node] = (align_log2 + 1) | (bound << 16);
}
void
lcra_set_disjoint_class(struct lcra_state *l, unsigned c1, unsigned c2)
{
l->class_disjoint[(c1 * l->class_count) + c2] = true;
l->class_disjoint[(c2 * l->class_count) + c1] = true;
}
void
lcra_restrict_range(struct lcra_state *l, unsigned node, unsigned len)
{
if (node < l->node_count && l->alignment[node]) {
unsigned BA = l->alignment[node];
unsigned alignment = (BA & 0xffff) - 1;
unsigned bound = BA >> 16;
l->modulus[node] = DIV_ROUND_UP(bound - len + 1, 1 << alignment);
}
}
void
lcra_add_node_interference(struct lcra_state *l, unsigned i, unsigned cmask_i, unsigned j, unsigned cmask_j)
{
if (i == j)
return;
if (l->class_disjoint[(l->class[i] * l->class_count) + l->class[j]])
return;
uint32_t constraint_fw = 0;
uint32_t constraint_bw = 0;
for (unsigned D = 0; D < 16; ++D) {
if (cmask_i & (cmask_j << D)) {
constraint_bw |= (1 << (15 + D));
constraint_fw |= (1 << (15 - D));
}
if (cmask_i & (cmask_j >> D)) {
constraint_fw |= (1 << (15 + D));
constraint_bw |= (1 << (15 - D));
}
}
l->linear[j * l->node_count + i] |= constraint_fw;
l->linear[i * l->node_count + j] |= constraint_bw;
}
static bool
lcra_test_linear(struct lcra_state *l, unsigned *solutions, unsigned i)
{
unsigned *row = &l->linear[i * l->node_count];
signed constant = solutions[i];
for (unsigned j = 0; j < l->node_count; ++j) {
if (solutions[j] == ~0) continue;
signed lhs = solutions[j] - constant;
if (lhs < -15 || lhs > 15)
continue;
if (row[j] & (1 << (lhs + 15)))
return false;
}
return true;
}
bool
lcra_solve(struct lcra_state *l)
{
for (unsigned step = 0; step < l->node_count; ++step) {
if (l->solutions[step] != ~0) continue;
if (l->alignment[step] == 0) continue;
unsigned _class = l->class[step];
unsigned class_start = l->class_start[_class];
unsigned BA = l->alignment[step];
unsigned shift = (BA & 0xffff) - 1;
unsigned bound = BA >> 16;
unsigned P = bound >> shift;
unsigned Q = l->modulus[step];
unsigned r_max = l->class_size[_class];
unsigned k_max = r_max >> shift;
unsigned m_max = k_max / P;
bool succ = false;
for (unsigned m = 0; m < m_max; ++m) {
for (unsigned n = 0; n < Q; ++n) {
l->solutions[step] = ((m * P + n) << shift) + class_start;
succ = lcra_test_linear(l, l->solutions, step);
if (succ) break;
}
if (succ) break;
}
/* Out of registers - prepare to spill */
if (!succ) {
l->spill_class = l->class[step];
return false;
}
}
return true;
}
/* Register spilling is implemented with a cost-benefit system. Costs are set
* by the user. Benefits are calculated from the constraints. */
void
lcra_set_node_spill_cost(struct lcra_state *l, unsigned node, signed cost)
{
if (node < l->node_count)
l->spill_cost[node] = cost;
}
/* Count along the lower triangle */
static unsigned
lcra_count_constraints(struct lcra_state *l, unsigned i)
{
unsigned count = 0;
unsigned *constraints = &l->linear[i * l->node_count];
for (unsigned j = 0; j < i; ++j)
count += util_bitcount(constraints[j]);
return count;
}
signed
lcra_get_best_spill_node(struct lcra_state *l)
{
float best_benefit = -1.0;
signed best_node = -1;
for (unsigned i = 0; i < l->node_count; ++i) {
/* Find spillable nodes */
if (l->class[i] != l->spill_class) continue;
if (l->spill_cost[i] < 0) continue;
/* Adapted from Chaitin's heuristic */
float constraints = lcra_count_constraints(l, i);
float cost = (l->spill_cost[i] + 1);
float benefit = constraints / cost;
if (benefit > best_benefit) {
best_benefit = benefit;
best_node = i;
}
}
return best_node;
}
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