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topo.c
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#include "topo.h"
static void pl_compute_baseL_two_layer(int l)
{
totPE = l;
totNode = l * 2;
totLink = l * 2 - 1;
totRack = l;
n_pe_per_rack = 1;
}
static void pl_compute_baseL_one_layer(int l)
{
totPE = l;
totNode = l;
totLink = l - 1;
totRack = l;
n_pe_per_rack = 1;
}
void pl_routing_init_two_layer()
{
int sd_id, link_idx, link_id;
int downlink_indicator;
for (int src_rack = 0; src_rack < totRack; src_rack++)
{
for (int dst_rack = 0; dst_rack < totRack; dst_rack++)
{
if (src_rack == dst_rack)
continue;
sd_id = sd_to_sdid[src_rack][dst_rack];
if (src_rack < dst_rack)
{
downlink_indicator = 0;
}
else
{
downlink_indicator = 1;
}
// add host links
for (link_id = src_rack * n_pe_per_rack; link_id < src_rack * n_pe_per_rack + n_pe_per_rack; link_id++)
{
sdid_to_linkid[sd_id][sdid_to_nlink[sd_id][UPLINK]][UPLINK] = link_id;
sdid_to_nlink[sd_id][UPLINK]++;
linkid_to_sdid[link_id][linkid_to_nsd[link_id][UPLINK]][UPLINK] = sd_id;
linkid_to_nsd[link_id][UPLINK]++;
}
for (link_id = dst_rack * n_pe_per_rack; link_id < dst_rack * n_pe_per_rack + n_pe_per_rack; link_id++)
{
sdid_to_linkid[sd_id][sdid_to_nlink[sd_id][DOWNLINK]][DOWNLINK] = link_id;
sdid_to_nlink[sd_id][DOWNLINK]++;
linkid_to_sdid[link_id][linkid_to_nsd[link_id][DOWNLINK]][DOWNLINK] = sd_id;
linkid_to_nsd[link_id][DOWNLINK]++;
}
// add internal links
for (link_idx = 0; link_idx < abs(dst_rack - src_rack); link_idx++)
{
link_id = totPE + min(src_rack, dst_rack) + link_idx;
sdid_to_linkid[sd_id][sdid_to_nlink[sd_id][downlink_indicator]][downlink_indicator] = link_id;
sdid_to_nlink[sd_id][downlink_indicator]++;
linkid_to_sdid[link_id][linkid_to_nsd[link_id][downlink_indicator]][downlink_indicator] = sd_id;
linkid_to_nsd[link_id][downlink_indicator]++;
}
}
}
}
void pl_routing_init_one_layer()
{
int sd_id, link_idx, link_id;
int downlink_indicator;
for (int src_rack = 0; src_rack < totRack; src_rack++)
{
for (int dst_rack = 0; dst_rack < totRack; dst_rack++)
{
if (src_rack == dst_rack)
continue;
sd_id = sd_to_sdid[src_rack][dst_rack];
if (src_rack < dst_rack)
{
downlink_indicator = 0;
}
else
{
downlink_indicator = 1;
}
for (link_idx = 0; link_idx < abs(dst_rack - src_rack); link_idx++)
{
link_id = min(src_rack, dst_rack) + link_idx;
sdid_to_linkid[sd_id][sdid_to_nlink[sd_id][downlink_indicator]][downlink_indicator] = link_id;
sdid_to_nlink[sd_id][downlink_indicator]++;
linkid_to_sdid[link_id][linkid_to_nsd[link_id][downlink_indicator]][downlink_indicator] = sd_id;
linkid_to_nsd[link_id][downlink_indicator]++;
}
}
}
}
void pl_build_topology_two_layer(int l, long long int *BW)
{
int i, j;
int flowid, linkid, sd_id, node_level;
for (linkid = 0; linkid < totLink; linkid++)
{
node_level = linkid / l;
linkid_to_bw_ori[linkid][UPLINK] = BW[node_level];
linkid_to_bw_ori[linkid][DOWNLINK] = BW[node_level];
linkid_to_load[linkid][UPLINK] = 0;
linkid_to_load[linkid][DOWNLINK] = 0;
linkid_to_bw[linkid][UPLINK] = BW[node_level];
linkid_to_bw[linkid][DOWNLINK] = BW[node_level];
linkid_to_fanout[linkid] = 1;
linkid_to_nsd[linkid][UPLINK] = 0;
linkid_to_nsd[linkid][DOWNLINK] = 0;
}
for (flowid = 0; flowid < MAX_NFLOW; flowid++)
{
final_flow_vector[flowid] = -1;
}
// nsd_active = 0;
sd_id = 0;
for (i = 0; i < totRack; i++)
{
for (j = 0; j < totRack; j++)
{
if (i != j)
{
sd_to_sdid[i][j] = sd_id;
sdid_to_nlink[sd_id][UPLINK] = 0;
sdid_to_nlink[sd_id][DOWNLINK] = 0;
sdid_to_nflow[sd_id] = 0;
sdid_status[sd_id] = 0;
sd_id++;
}
}
}
}
void pl_build_topology_one_layer(int l, long long int *BW)
{
int i, j;
int flowid, linkid,sd_id, node_level;
for (linkid = 0; linkid < totLink; linkid++)
{
if ((linkid==0) || (linkid==totLink-1)) {
node_level = 0;
} else {
node_level = 1;
}
linkid_to_bw_ori[linkid][UPLINK] = BW[node_level];
linkid_to_bw_ori[linkid][DOWNLINK] = BW[node_level];
linkid_to_load[linkid][UPLINK] = 0;
linkid_to_load[linkid][DOWNLINK] = 0;
linkid_to_bw[linkid][UPLINK] = BW[node_level];
linkid_to_bw[linkid][DOWNLINK] = BW[node_level];
linkid_to_fanout[linkid] = 1;
linkid_to_nsd[linkid][UPLINK] = 0;
linkid_to_nsd[linkid][DOWNLINK] = 0;
}
for (flowid = 0; flowid < MAX_NFLOW; flowid++)
{
final_flow_vector[flowid] = -1;
}
// nsd_active = 0;
sd_id = 0;
for (i = 0; i < totRack; i++)
{
for (j = 0; j < totRack; j++)
{
if (i != j)
{
sd_to_sdid[i][j] = sd_id;
sdid_to_nlink[sd_id][UPLINK] = 0;
sdid_to_nlink[sd_id][DOWNLINK] = 0;
sdid_to_nflow[sd_id] = 0;
sdid_status[sd_id] = 0;
sd_id++;
}
}
}
}
void pl_reset_topology_two_layer()
{
int i, j;
int sd_id, node_level, flowid, linkid;
for (linkid = 0; linkid < totLink; linkid++)
{
node_level = linkid / pl_l;
linkid_to_bw[linkid][0] = pl_BW[node_level];
linkid_to_bw[linkid][1] = pl_BW[node_level];
linkid_to_load[linkid][0] = 0;
linkid_to_load[linkid][1] = 0;
// linkid_to_nsd[linkid][0] = 0;
// linkid_to_nsd[linkid][1] = 0;
}
for (flowid = 0; flowid < MAX_NFLOW; flowid++)
{
if (final_flow_vector[flowid] == -1) break;
final_flow_vector[flowid] = -1;
}
sd_id = 0;
for (i = 0; i < totRack; i++)
{
for (j = 0; j < totRack; j++)
{
if (i != j)
{
// sd_to_sdid[i][j] = sd_id;
sdid_to_nflow[sd_id] = 0;
sdid_status[sd_id] = 0;
sd_id++;
}
}
}
}
void pl_reset_topology_one_layer()
{
int i, j;
int sd_id, flowid, linkid, node_level;
for (linkid = 0; linkid < totLink; linkid++)
{
if ((linkid==0) || (linkid==totLink-1)) {
node_level = 0;
} else {
node_level = 1;
}
linkid_to_bw[linkid][0] = pl_BW[node_level];
linkid_to_bw[linkid][1] = pl_BW[node_level];
linkid_to_load[linkid][0] = 0;
linkid_to_load[linkid][1] = 0;
// linkid_to_nsd[linkid][0] = 0;
// linkid_to_nsd[linkid][1] = 0;
}
for (flowid = 0; flowid < MAX_NFLOW; flowid++)
{
if (final_flow_vector[flowid] == -1) break;
final_flow_vector[flowid] = -1;
}
sd_id = 0;
for (i = 0; i < totRack; i++)
{
for (j = 0; j < totRack; j++)
{
if (i != j)
{
// sd_to_sdid[i][j] = sd_id;
sdid_to_nflow[sd_id] = 0;
sdid_status[sd_id] = 0;
sd_id++;
}
}
}
}
void pl_topology_init_two_layer(int l, long long int *bw)
{
int i;
pl_l = l;
for (i = 0; i < 2; i++)
{
pl_BW[i] = bw[i];
}
// determine sizeL, baseL, baseL_link, node_level
pl_compute_baseL_two_layer(pl_l);
pl_build_topology_two_layer(l, bw);
printf("Simulating two-layer parking lot: length = %d\n bw = [", l);
for (i = 0; i < totLink-1; i++)
printf("%lf, ", *linkid_to_bw_ori[i]);
printf("%lf]\n", *linkid_to_bw_ori[i]);
printf("%d PEs, %d switches, %d nodes (switch+PE), %d links\n", totPE, totNode - totPE, totNode, totLink);
}
void pl_topology_init_one_layer(int l, long long int *bw)
{
int i;
pl_l = l;
for (i = 0; i < 2; i++)
{
pl_BW[i] = bw[i];
}
// determine sizeL, baseL, baseL_link, node_level
pl_compute_baseL_one_layer(pl_l);
pl_build_topology_one_layer(l, bw);
// printf("Simulating one-layer parking lot: length = %d\n bw = [", l);
// for (i = 0; i < totLink-1; i++)
// printf("%lf, ", *linkid_to_bw_ori[i]);
// printf("%lf]\n", *linkid_to_bw_ori[i]);
// printf("%d PEs, %d switches, %d nodes (switch+PE), %d links\n", totPE, totNode - totPE, totNode, totLink);
}
/** utility function
* returns elapsed time of the given interval in seconds
*/
double timediff(struct timeval start, struct timeval end)
{
return (double)(((end.tv_sec * 1000000 + end.tv_usec) - (start.tv_sec * 1000000 + start.tv_usec)) / 1000000.0);
}
void pl_ppf_from_array(unsigned int nflow_active, int *src, int *dst, int *iteration_count, double *exec_time)
{
// struct timeval t1,t2,t3,t4;
struct timeval t1, t4;
int iterator = 0;
long long int nflow_done;
int src_rack, dst_rack, sd_id, sd_idx, link_id, link_idx, flow_id, flow_idx, downlink_indicator;
long long int min_rate_limit_linkid;
double rate_limit_loadfactor, min_rate_limit;
// %% Step 1: initialize linked lists
gettimeofday(&t1, NULL);
nsd_active = 0;
assert(nflow_active < MAX_NFLOW);
for (flow_id = 0; flow_id < nflow_active; flow_id++)
{
assert(src[flow_id] != dst[flow_id]);
src_rack = floor(src[flow_id] / n_pe_per_rack);
dst_rack = floor(dst[flow_id] / n_pe_per_rack);
sd_id = sd_to_sdid[src_rack][dst_rack];
sdid_to_flowid[sd_id][sdid_to_nflow[sd_id]] = flow_id;
if (sdid_to_nflow[sd_id] == 0)
{
sdid_status[sd_id] = 1;
sdid_active[nsd_active] = sd_id;
nsd_active++;
}
sdid_to_nflow[sd_id]++;
}
// %% Step 2: calculate the num of flows for each link
// gettimeofday(&t2, NULL);
// printf("Time to initialize: %lf\n", timediff(t1,t2));
for (sd_idx = 0; sd_idx < nsd_active; sd_idx++)
{
sd_id = sdid_active[sd_idx];
for (downlink_indicator = 0; downlink_indicator < 2; downlink_indicator++)
{
for (link_idx = 0; link_idx < sdid_to_nlink[sd_id][downlink_indicator]; link_idx++)
{
link_id = sdid_to_linkid[sd_id][link_idx][downlink_indicator];
linkid_to_load[link_id][downlink_indicator] += sdid_to_nflow[sd_id];
}
}
}
// Step %% 3: begin iterative algorithm
// gettimeofday(&t3, NULL);
// printf("Flows processed during input %d\n", nflow_active);
nflow_done = 0;
while (nflow_done != nflow_active)
{
iterator++;
min_rate_limit = LLONG_MAX; // temporary
min_rate_limit_linkid = -1;
rate_limit_loadfactor = -1;
// STEP 1: Find the most rate limiting link(L)
for (link_id = 0; link_id < totLink; link_id++)
{
for (downlink_indicator = 0; downlink_indicator < 2; downlink_indicator++)
{
if (linkid_to_load[link_id][downlink_indicator] != 0)
{
double load_factor;
load_factor = (linkid_to_load[link_id][downlink_indicator] * 1.0) / linkid_to_fanout[link_id];
rate_limit_per_link[link_id][downlink_indicator] = linkid_to_bw[link_id][downlink_indicator] / load_factor;
// STEP 2: compute the smallest rate that every flow can increase to
if (rate_limit_per_link[link_id][downlink_indicator] < min_rate_limit)
{
min_rate_limit = rate_limit_per_link[link_id][downlink_indicator];
min_rate_limit_linkid = link_id;
rate_limit_loadfactor = load_factor; // for debugging
}
}
}
}
// printf("At iteration %d, most limiting rate %lf\n", iterator, min_rate_limit);
for (link_id = 0; link_id < totLink; link_id++)
{
for (downlink_indicator = 0; downlink_indicator < 2; downlink_indicator++)
{
if (fabs(rate_limit_per_link[link_id][downlink_indicator] - min_rate_limit) < 0.0001)
{
for (sd_idx = 0; sd_idx < linkid_to_nsd[link_id][downlink_indicator]; sd_idx++)
{
sd_id = linkid_to_sdid[link_id][sd_idx][downlink_indicator];
// if (sdid_status[sd_id])
// {
for (flow_idx = 0; flow_idx < sdid_to_nflow[sd_id]; flow_idx++)
{
flow_id = sdid_to_flowid[sd_id][flow_idx];
if (final_flow_vector[flow_id] == -1)
{
final_flow_vector[flow_id] = min(min_rate_limit,pl_BW[0]);
// final_flow_vector[flow_id] = min_rate_limit;
nflow_done++;
}
}
// sdid_status[sd_id] = 0;
// }
}
}
}
}
// printf("Number of flows saturated in itern %d is %lld\n",iterator,nflow_done);
// STEP 4: update the link loads of saturated flows
// STEP 6.1: Update the available bw at each link
double used_bw;
for (link_id = 0; link_id < totLink; link_id++)
{
for (downlink_indicator = 0; downlink_indicator < 2; downlink_indicator++)
{
used_bw = 0;
linkid_to_load[link_id][downlink_indicator] = 0;
for (sd_idx = 0; sd_idx < linkid_to_nsd[link_id][downlink_indicator]; sd_idx++)
{
sd_id = linkid_to_sdid[link_id][sd_idx][downlink_indicator];
for (flow_idx = 0; flow_idx < sdid_to_nflow[sd_id]; flow_idx++)
{
flow_id = sdid_to_flowid[sd_id][flow_idx];
if (final_flow_vector[flow_id] == -1)
linkid_to_load[link_id][downlink_indicator]++;
else
used_bw += final_flow_vector[flow_id];
}
}
linkid_to_bw[link_id][downlink_indicator] = linkid_to_bw_ori[link_id][downlink_indicator] - used_bw * 1.0 / linkid_to_fanout[link_id];
}
}
// for (link_id = 0; link_id < totLink; link_id++)
// {
// for (downlink_indicator = 0; downlink_indicator < 2; downlink_indicator++)
// {
// used_bw = 0;
// for (sd_idx = 0; sd_idx < linkid_to_nsd[link_id][downlink_indicator]; sd_idx++)
// {
// sd_id = linkid_to_sdid[link_id][sd_idx][downlink_indicator];
// for (flow_idx = 0; flow_idx < sdid_to_nflow[sd_id]; flow_idx++)
// {
// flow_id = sdid_to_flowid[sd_id][flow_idx];
// if (fabs(final_flow_vector[flow_id] - min_rate_limit) < 0.0001)
// {
// used_bw += final_flow_vector[flow_id];
// linkid_to_load[link_id][downlink_indicator]--;
// }
// }
// }
// linkid_to_bw[link_id][downlink_indicator] -= used_bw * 1.0 / linkid_to_fanout[link_id];
// }
// }
} // end while
// Step %% 4: end iterative algorithm
gettimeofday(&t4, NULL);
*iteration_count = iterator;
*exec_time = timediff(t1, t4);
}