GARNET: adding a fault model for resilient on-chip network research.

This patch adds a fault model, which provides the probability of a number of
architectural faults in the interconnection network (e.g., data corruption,
misrouting). These probabilities can be used to realistically inject faults
in GARNET and faithfully evaluate the effectiveness of novel resilient NoC
architectures.
This commit is contained in:
Tushar Krishna 2011-11-04 18:40:22 -04:00
parent 5ff6e05ffd
commit ac993964a9
12 changed files with 842 additions and 1 deletions

View file

@ -40,6 +40,8 @@ def define_options(parser):
help="the number of rows in the mesh topology") help="the number of rows in the mesh topology")
parser.add_option("--garnet-network", type="string", default=None, parser.add_option("--garnet-network", type="string", default=None,
help="'fixed'|'flexible'") help="'fixed'|'flexible'")
parser.add_option("--network-fault-model", action="store_true", default=False,
help="enable network fault model: see src/mem/ruby/network/fault_model/")
# ruby mapping options # ruby mapping options
parser.add_option("--numa-high-bit", type="int", default=0, parser.add_option("--numa-high-bit", type="int", default=0,
@ -109,7 +111,13 @@ def create_system(options, system, piobus = None, dma_devices = []):
print "Error: could not create topology %s" % options.topology print "Error: could not create topology %s" % options.topology
raise raise
network = NetworkClass(ruby_system = ruby, topology = net_topology) if options.network_fault_model:
assert(options.garnet_network == "fixed")
fault_model = FaultModel()
network = NetworkClass(ruby_system = ruby, topology = net_topology,\
enable_fault_model=True, fault_model = fault_model)
else:
network = NetworkClass(ruby_system = ruby, topology = net_topology)
# #
# Loop through the directory controlers. # Loop through the directory controlers.

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@ -0,0 +1,278 @@
/*
* Copyright (c) 2011 Massachusetts Institute of Technology
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are
* met: redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer;
* redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution;
* neither the name of the copyright holders nor the names of its
* contributors may be used to endorse or promote products derived from
* this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*
* Authors: Konstantinos Aisopos
*/
/*
* Official Tool Website: www.mit.edu/~kaisopos/FaultModel
*
* If you use our tool for academic research, we request that you cite:
* Konstantinos Aisopos, Chia-Hsin Owen Chen, and Li-Shiuan Peh. Enabling
* System-Level Modeling of Variation-Induced Faults in Networks-on-Chip.
* Proceedings of the 48th Design Automation Conference (DAC'11)
*/
// C includes
#include <assert.h>
#include <stdio.h>
// C++ includes
#include <fstream>
#include <iostream>
#include <vector>
// GEM5 includes
#include "FaultModel.hh"
#include "base/misc.hh"
#define MAX(a,b) ((a > b) ? (a) : (b))
FaultModel::FaultModel(const Params *p) : SimObject(p)
{
// read configurations into "configurations" vector
// format: <buff/vc> <vcs> <10 fault types>
bool more_records = true;
for (int i = 0; more_records; i += (fields_per_conf_record)){
system_conf configuration;
configuration.buff_per_vc =
p->baseline_fault_vector_database[i + conf_record_buff_per_vc];
configuration.vcs =
p->baseline_fault_vector_database[i + conf_record_vcs];
for (int fault_index = 0; fault_index < number_of_fault_types;
fault_index++){
configuration.fault_type[fault_index] =
p->baseline_fault_vector_database[i +
conf_record_first_fault_type + fault_index] / 100;
}
configurations.push_back(configuration);
if (p->baseline_fault_vector_database[i+fields_per_conf_record] < 0){
more_records = false;
}
}
// read temperature weights into "temperature_weights" vector
// format: <temperature> <weight>
more_records = true;
for (int i = 0; more_records; i += (fields_per_temperature_record)){
int record_temperature =
p->temperature_weights_database[i + temperature_record_temp];
int record_weight =
p->temperature_weights_database[i + temperature_record_weight];
static int first_record = true;
if (first_record){
for (int temperature = 0; temperature < record_temperature;
temperature++){
temperature_weights.push_back(0);
}
first_record = false;
}
assert(record_temperature == temperature_weights.size());
temperature_weights.push_back(record_weight);
if (p->temperature_weights_database[i +
fields_per_temperature_record] < 0){
more_records = false;
}
}
}
string
FaultModel::fault_type_to_string(int ft)
{
if (ft == data_corruption__few_bits){
return "data_corruption__few_bits";
} else if (ft == data_corruption__all_bits){
return "data_corruption__all_bits";
} else if (ft == flit_conservation__flit_duplication){
return "flit_conservation__flit_duplication";
} else if (ft == flit_conservation__flit_loss_or_split){
return "flit_conservation__flit_loss_or_split";
} else if (ft == misrouting){
return "misrouting";
} else if (ft == credit_conservation__credit_generation){
return "credit_conservation__credit_generation";
} else if (ft == credit_conservation__credit_loss){
return "credit_conservation__credit_loss";
} else if (ft == erroneous_allocation__VC){
return "erroneous_allocation__VC";
} else if (ft == erroneous_allocation__switch){
return "erroneous_allocation__switch";
} else if (ft == unfair_arbitration){
return "unfair_arbitration";
} else if (ft == number_of_fault_types){
return "none";
} else {
return "none";
}
}
int
FaultModel::declare_router(int number_of_inputs,
int number_of_outputs,
int number_of_vcs_per_input,
int number_of_buff_per_data_vc,
int number_of_buff_per_ctrl_vc)
{
// check inputs (are they legal?)
if (number_of_inputs <= 0 || number_of_outputs <= 0 ||
number_of_vcs_per_input <= 0 || number_of_buff_per_data_vc <= 0 ||
number_of_buff_per_ctrl_vc <= 0){
fatal("Fault Model: ERROR in argument of FaultModel_declare_router!");
}
int number_of_buffers_per_vc = MAX(number_of_buff_per_data_vc,
number_of_buff_per_ctrl_vc);
int total_vcs = number_of_inputs * number_of_vcs_per_input;
if (total_vcs > MAX_VCs){
fatal("Fault Model: ERROR! Number inputs*VCs (MAX_VCs) unsupported");
}
if (number_of_buffers_per_vc > MAX_BUFFERS_per_VC){
fatal("Fault Model: ERROR! buffers/VC (MAX_BUFFERS_per_VC) too high");
}
// link the router to a DB record
int record_hit = -1;
for (int record = 0; record < configurations.size(); record++){
if ((configurations[record].buff_per_vc == number_of_buffers_per_vc)&&
(configurations[record].vcs == total_vcs)){
record_hit = record;
}
}
if (record_hit == -1){
panic("Fault Model: ERROR! configuration not found in DB. BUG?");
}
// remember the router and return its ID
routers.push_back(configurations[record_hit]);
static int router_index = 0;
return router_index++;
}
bool
FaultModel::fault_vector(int routerID,
int temperature_input,
float fault_vector[])
{
bool ok = true;
// is the routerID recorded?
if (routerID < 0 || routerID >= ((int) routers.size())){
warn("Fault Model: ERROR! unknown router ID argument.");
fatal("Fault Model: Did you enable the fault model flag)?");
}
// is the temperature too high/too low?
int temperature = temperature_input;
if (temperature_input >= ((int) temperature_weights.size())){
ok = false;
warn_once("Fault Model: Temperature exceeded simulated upper bound.");
warn_once("Fault Model: The fault model is not accurate any more.");
temperature = (temperature_weights.size() - 1);
} else if (temperature_input < 0){
ok = false;
warn_once("Fault Model: Temperature exceeded simulated lower bound.");
warn_once("Fault Model: The fault model is not accurate any more.");
temperature = 0;
}
// recover the router record and return its fault vector
for (int i = 0; i < number_of_fault_types; i++){
fault_vector[i] = routers[routerID].fault_type[i] *
((float)temperature_weights[temperature]);
}
return ok;
}
bool
FaultModel::fault_prob(int routerID,
int temperature_input,
float *aggregate_fault_prob)
{
*aggregate_fault_prob = 1.0;
bool ok = true;
// is the routerID recorded?
if (routerID < 0 || routerID >= ((int) routers.size())){
warn("Fault Model: ERROR! unknown router ID argument.");
fatal("Fault Model: Did you enable the fault model flag)?");
}
// is the temperature too high/too low?
int temperature = temperature_input;
if (temperature_input >= ((int) temperature_weights.size()) ){
ok = false;
warn_once("Fault Model: Temperature exceeded simulated upper bound.");
warn_once("Fault Model: The fault model is not accurate any more.");
temperature = (temperature_weights.size()-1);
} else if (temperature_input < 0){
ok = false;
warn_once("Fault Model: Temperature exceeded simulated lower bound.");
warn_once("Fault Model: The fault model is not accurate any more.");
temperature = 0;
}
// recover the router record and return its aggregate fault probability
for (int i = 0; i < number_of_fault_types; i++){
*aggregate_fault_prob= *aggregate_fault_prob *
( 1.0 - (routers[routerID].fault_type[i] *
((float)temperature_weights[temperature])) );
}
*aggregate_fault_prob = 1.0 - *aggregate_fault_prob;
return ok;
}
// this function is used only for debugging purposes
void
FaultModel::print(void)
{
cout << "--- PRINTING configurations ---\n";
for (int record = 0; record < configurations.size(); record++){
cout << "(" << record << ") ";
cout << "VCs=" << configurations[record].vcs << " ";
cout << "Buff/VC=" << configurations[record].buff_per_vc << " [";
for (int fault_type_num = 0;
fault_type_num < number_of_fault_types;
fault_type_num++){
cout << (100 * configurations[record].fault_type[fault_type_num]);
cout << "% ";
}
cout << "]\n";
}
cout << "--- PRINTING temperature weights ---\n";
for (int record = 0; record < temperature_weights.size(); record++){
cout << "temperature=" << record << " => ";
cout << "weight=" << temperature_weights[record];
cout << "\n";
}
}
FaultModel *
FaultModelParams::create()
{
return new FaultModel(this);
}

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@ -0,0 +1,142 @@
/*
* Copyright (c) 2011 Massachusetts Institute of Technology
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are
* met: redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer;
* redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution;
* neither the name of the copyright holders nor the names of its
* contributors may be used to endorse or promote products derived from
* this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*
* Authors: Konstantinos Aisopos
*/
/*
* Official Tool Website: www.mit.edu/~kaisopos/FaultModel
*
* If you use our tool for academic research, we request that you cite:
* Konstantinos Aisopos, Chia-Hsin Owen Chen, and Li-Shiuan Peh. Enabling
* System-Level Modeling of Variation-Induced Faults in Networks-on-Chip.
* Proceedings of the 48th Design Automation Conference (DAC'11)
*/
#ifndef __MEM_RUBY_NETWORK_FAULT_MODEL_HH__
#define __MEM_RUBY_NETWORK_FAULT_MODEL_HH__
// tool limitations and fixed inputs
#define MAX_VCs 40
#define MAX_BUFFERS_per_VC 5
#define BASELINE_TEMPERATURE_CELCIUS 71
// C++ includes
#include <string>
using namespace std;
// GEM5 includes
#include "params/FaultModel.hh"
#include "sim/sim_object.hh"
class FaultModel : public SimObject
{
public:
typedef FaultModelParams Params;
FaultModel(const Params *p);
const Params *params() const { return (const Params *)_params; }
/************************************************************************/
/********** THE FAULT TYPES SUPPORTED BY THE FAULT MODEL ***************/
/************************************************************************/
enum fault_type
{
data_corruption__few_bits,
data_corruption__all_bits,
flit_conservation__flit_duplication,
flit_conservation__flit_loss_or_split,
misrouting,
credit_conservation__credit_generation,
credit_conservation__credit_loss,
erroneous_allocation__VC,
erroneous_allocation__switch,
unfair_arbitration,
number_of_fault_types
};
/************************************************************************/
/******************** INTERFACE OF THE FAULT MODEL *********************/
/************************************************************************/
enum conf_record_format
{
conf_record_buff_per_vc,
conf_record_vcs,
conf_record_first_fault_type,
conf_record_last_fault_type = conf_record_first_fault_type + number_of_fault_types - 1,
fields_per_conf_record
};
enum temperature_record_format
{
temperature_record_temp,
temperature_record_weight,
fields_per_temperature_record
};
struct system_conf
{
int vcs;
int buff_per_vc;
float fault_type[number_of_fault_types];
};
int declare_router(int number_of_inputs,
int number_of_outputs,
int number_of_vcs_per_vnet,
int number_of_buff_per_data_vc,
int number_of_buff_per_ctrl_vc);
string fault_type_to_string(int fault_type_index);
// the following 2 functions are called at runtime, to get the probability
// of each fault type (fault_vector) or the aggregate fault probability
// (fault_prob). Note: the probability values are provided by reference
// (in the variables fault_vector[] & aggregate_fault_prob respectively).
// Both functions also return a success flag (which is always true if
// temperature ranges from 0C to 125C)
bool fault_vector(int routerID,
int temperature,
float fault_vector[]);
bool fault_prob(int routerID,
int temperature,
float *aggregate_fault_prob);
// for debugging purposes
void print(void);
private:
vector <system_conf> configurations;
vector <system_conf> routers;
vector <int> temperature_weights;
};
#endif // __MEM_RUBY_NETWORK_FAULT_MODEL_HH__

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@ -0,0 +1,302 @@
# Copyright (c) 2011 Massachusetts Institute of Technology
# All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions are
# met: redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer;
# redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in the
# documentation and/or other materials provided with the distribution;
# neither the name of the copyright holders nor the names of its
# contributors may be used to endorse or promote products derived from
# this software without specific prior written permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
# A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
# OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
# SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
# LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
# DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
# THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
# (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
# OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#
# Authors: Konstantinos Aisopos
# Official Tool Website: www.mit.edu/~kaisopos/FaultModel
#
# If you use our tool for academic research, we request that you cite:
# Konstantinos Aisopos, Chia-Hsin Owen Chen, and Li-Shiuan Peh. Enabling
# System-Level Modeling of Variation-Induced Faults in Networks-on-Chip.
# Proceedings of the 48th Design Automation Conference (DAC'11)
from m5.params import *
from m5.SimObject import SimObject
class FaultModel(SimObject):
type = 'FaultModel'
cxx_class = 'FaultModel'
baseline_fault_vector_database = VectorParam.Float([
5, 40, 0.080892, 0.109175, 0.018864, 0.130408, 0.059724, 0.077571, 0.034830, 0.083430, 0.067500, 0.121500,
5, 39, 0.062640, 0.089100, 0.016821, 0.109620, 0.051462, 0.060210, 0.029700, 0.076140, 0.062100, 0.116100,
5, 38, 0.050490, 0.076950, 0.015782, 0.091530, 0.044550, 0.046170, 0.025920, 0.070200, 0.057294, 0.110700,
5, 37, 0.042120, 0.067770, 0.014191, 0.082890, 0.040986, 0.037800, 0.023760, 0.065880, 0.053568, 0.104490,
5, 36, 0.035910, 0.061020, 0.013211, 0.075600, 0.035100, 0.030240, 0.021060, 0.061560, 0.049815, 0.100710,
5, 35, 0.032130, 0.054810, 0.011964, 0.071550, 0.031860, 0.026730, 0.019710, 0.057510, 0.047169, 0.094230,
5, 34, 0.028890, 0.051030, 0.011054, 0.067500, 0.030510, 0.023450, 0.018630, 0.054000, 0.045900, 0.088290,
5, 33, 0.026460, 0.047250, 0.010160, 0.062640, 0.028971, 0.021600, 0.017280, 0.049410, 0.042903, 0.082080,
5, 32, 0.024300, 0.042930, 0.009312, 0.057780, 0.027000, 0.019710, 0.016470, 0.045360, 0.041310, 0.075600,
5, 31, 0.022410, 0.037260, 0.008910, 0.054540, 0.024732, 0.018171, 0.015660, 0.043470, 0.039447, 0.070740,
5, 30, 0.021870, 0.032130, 0.008162, 0.050220, 0.023625, 0.016762, 0.013770, 0.039150, 0.037557, 0.065880,
5, 29, 0.020790, 0.028080, 0.007657, 0.042660, 0.020061, 0.016043, 0.012690, 0.036720, 0.035451, 0.062370,
5, 28, 0.019440, 0.025650, 0.007123, 0.037800, 0.018900, 0.015363, 0.011880, 0.033480, 0.032400, 0.057780,
5, 27, 0.018473, 0.023760, 0.006737, 0.034830, 0.018036, 0.014153, 0.011232, 0.030240, 0.030645, 0.055890,
5, 26, 0.017550, 0.021330, 0.006440, 0.032130, 0.016497, 0.013511, 0.010031, 0.027621, 0.028242, 0.051030,
5, 25, 0.016462, 0.020520, 0.006210, 0.028890, 0.015822, 0.013095, 0.009442, 0.021600, 0.026379, 0.046170,
5, 24, 0.015930, 0.018360, 0.005940, 0.026730, 0.015047, 0.012377, 0.008918, 0.018360, 0.023193, 0.037800,
5, 23, 0.015390, 0.017931, 0.005594, 0.025488, 0.013365, 0.012037, 0.008775, 0.015120, 0.018657, 0.031590,
5, 22, 0.014804, 0.017167, 0.005338, 0.023976, 0.012258, 0.011734, 0.008087, 0.013500, 0.015444, 0.026190,
5, 21, 0.014180, 0.016548, 0.004995, 0.022194, 0.011807, 0.011073, 0.007236, 0.011070, 0.013500, 0.021870,
5, 20, 0.013743, 0.016176, 0.004613, 0.020414, 0.011070, 0.010415, 0.006220, 0.010415, 0.010800, 0.019077,
5, 19, 0.011877, 0.015412, 0.003861, 0.016659, 0.008235, 0.008640, 0.005400, 0.009720, 0.008532, 0.013770,
5, 18, 0.011097, 0.014310, 0.003483, 0.014526, 0.006912, 0.007560, 0.003780, 0.008640, 0.006885, 0.010260,
5, 17, 0.010419, 0.011939, 0.002700, 0.011394, 0.005400, 0.006318, 0.003038, 0.008100, 0.005400, 0.009450,
5, 16, 0.009887, 0.009720, 0.002395, 0.010152, 0.004023, 0.005400, 0.002743, 0.007020, 0.004590, 0.008370,
5, 15, 0.009617, 0.007825, 0.002079, 0.008289, 0.003780, 0.004806, 0.002236, 0.006480, 0.003996, 0.008127,
5, 14, 0.008710, 0.006820, 0.001817, 0.007749, 0.003240, 0.004185, 0.001760, 0.005400, 0.002538, 0.006615,
5, 13, 0.008116, 0.006566, 0.001566, 0.006426, 0.002741, 0.003564, 0.001299, 0.004590, 0.001917, 0.005994,
5, 12, 0.007908, 0.006151, 0.001350, 0.005400, 0.002471, 0.003132, 0.000794, 0.004050, 0.001323, 0.005940,
5, 11, 0.007690, 0.005627, 0.001094, 0.005076, 0.002363, 0.002052, 0.000567, 0.003510, 0.001188, 0.004860,
5, 10, 0.007560, 0.005038, 0.000805, 0.004536, 0.001985, 0.000540, 0.000000, 0.002430, 0.000999, 0.003240,
5, 9, 0.007314, 0.004193, 0.000540, 0.003834, 0.001715, 0.000000, 0.000000, 0.002160, 0.000945, 0.002700,
5, 8, 0.006750, 0.003240, 0.000000, 0.003240, 0.001323, 0.000000, 0.000000, 0.001350, 0.000837, 0.002646,
5, 7, 0.006461, 0.002700, 0.000000, 0.002700, 0.001215, 0.000000, 0.000000, 0.000000, 0.000810, 0.001809,
5, 6, 0.006240, 0.001796, 0.000000, 0.002052, 0.001013, 0.000000, 0.000000, 0.000000, 0.000756, 0.001620,
5, 5, 0.005430, 0.000675, 0.000000, 0.000864, 0.000864, 0.000000, 0.000000, 0.000000, 0.000729, 0.001593,
5, 4, 0.003780, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.001080,
5, 3, 0.001350, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000540,
5, 2, 0.000540, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000270,
5, 1, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
4, 40, 0.079484, 0.106785, 0.018198, 0.122699, 0.057538, 0.076974, 0.034813, 0.079276, 0.061426, 0.112509,
4, 39, 0.062146, 0.088671, 0.016205, 0.108082, 0.050454, 0.059905, 0.029600, 0.075465, 0.057362, 0.106596,
4, 38, 0.050047, 0.076478, 0.014924, 0.090994, 0.043475, 0.045808, 0.025794, 0.069220, 0.054351, 0.101993,
4, 37, 0.041712, 0.067272, 0.013551, 0.082516, 0.040026, 0.037390, 0.023580, 0.064897, 0.051395, 0.097511,
4, 36, 0.035384, 0.060487, 0.012434, 0.075287, 0.034229, 0.029784, 0.020859, 0.060167, 0.048222, 0.094055,
4, 35, 0.031455, 0.054259, 0.011290, 0.071141, 0.031259, 0.026055, 0.019560, 0.055478, 0.045887, 0.088965,
4, 34, 0.028307, 0.050427, 0.010342, 0.067048, 0.029835, 0.022525, 0.018495, 0.052523, 0.044253, 0.083727,
4, 33, 0.025847, 0.046687, 0.009384, 0.062196, 0.028000, 0.020646, 0.017102, 0.048735, 0.041837, 0.079286,
4, 32, 0.023688, 0.042449, 0.008645, 0.057303, 0.026070, 0.018765, 0.016315, 0.045001, 0.040163, 0.073143,
4, 31, 0.021905, 0.036781, 0.008235, 0.054011, 0.024200, 0.017496, 0.015528, 0.042795, 0.038273, 0.068675,
4, 30, 0.021195, 0.031563, 0.007456, 0.049545, 0.022757, 0.016081, 0.013646, 0.038817, 0.036410, 0.063086,
4, 29, 0.020115, 0.027494, 0.006992, 0.042302, 0.019517, 0.015096, 0.012562, 0.035562, 0.034223, 0.059954,
4, 28, 0.018889, 0.025040, 0.006472, 0.037295, 0.018383, 0.014540, 0.011760, 0.032949, 0.032022, 0.055782,
4, 27, 0.017630, 0.023150, 0.006055, 0.034262, 0.017183, 0.013759, 0.010949, 0.029876, 0.030294, 0.053339,
4, 26, 0.016875, 0.020762, 0.005743, 0.031664, 0.016002, 0.013123, 0.009740, 0.026487, 0.027824, 0.048681,
4, 25, 0.015930, 0.019660, 0.005516, 0.028215, 0.015147, 0.012420, 0.009311, 0.020643, 0.025988, 0.043443,
4, 24, 0.015425, 0.017790, 0.005211, 0.026190, 0.014530, 0.011838, 0.008783, 0.017314, 0.022518, 0.035681,
4, 23, 0.014947, 0.017314, 0.004878, 0.024813, 0.012897, 0.011507, 0.008451, 0.014445, 0.017982, 0.029673,
4, 22, 0.014430, 0.016278, 0.004610, 0.023077, 0.011945, 0.011148, 0.007918, 0.012825, 0.015107, 0.023814,
4, 21, 0.013643, 0.015699, 0.004320, 0.021686, 0.011598, 0.010383, 0.007113, 0.010395, 0.013176, 0.019197,
4, 20, 0.013023, 0.015244, 0.003995, 0.019155, 0.010935, 0.009227, 0.005914, 0.009227, 0.010665, 0.016234,
4, 19, 0.011185, 0.014467, 0.003186, 0.015718, 0.007822, 0.007965, 0.005273, 0.008374, 0.008262, 0.012623,
4, 18, 0.010399, 0.013419, 0.002808, 0.013696, 0.006681, 0.006885, 0.003579, 0.007579, 0.006197, 0.009315,
4, 17, 0.009773, 0.011089, 0.002025, 0.010882, 0.005054, 0.005881, 0.002928, 0.007101, 0.004914, 0.008100,
4, 16, 0.009054, 0.009054, 0.001743, 0.009477, 0.003799, 0.005081, 0.002365, 0.006345, 0.003942, 0.007061,
4, 15, 0.008575, 0.006882, 0.001404, 0.007792, 0.003449, 0.004131, 0.001793, 0.005327, 0.002903, 0.006264,
4, 14, 0.008069, 0.005655, 0.001169, 0.006920, 0.002808, 0.003510, 0.001277, 0.004307, 0.001782, 0.005184,
4, 13, 0.007668, 0.005173, 0.000986, 0.005751, 0.002336, 0.002889, 0.000919, 0.003609, 0.001283, 0.004631,
4, 12, 0.007403, 0.004563, 0.000675, 0.004852, 0.002066, 0.002457, 0.000532, 0.003083, 0.000662, 0.004374,
4, 11, 0.007152, 0.004127, 0.000547, 0.004401, 0.001937, 0.001377, 0.000284, 0.002473, 0.000594, 0.003456,
4, 10, 0.006885, 0.003530, 0.000402, 0.003920, 0.001613, 0.000405, 0.000000, 0.001755, 0.000500, 0.002565,
4, 9, 0.006746, 0.002920, 0.000270, 0.003159, 0.001404, 0.000000, 0.000000, 0.001485, 0.000473, 0.002025,
4, 8, 0.006257, 0.002290, 0.000000, 0.002565, 0.001107, 0.000000, 0.000000, 0.000675, 0.000419, 0.001971,
4, 7, 0.005931, 0.001825, 0.000000, 0.002025, 0.000999, 0.000000, 0.000000, 0.000000, 0.000405, 0.001134,
4, 6, 0.005585, 0.001199, 0.000000, 0.001463, 0.000844, 0.000000, 0.000000, 0.000000, 0.000378, 0.000945,
4, 5, 0.004967, 0.000545, 0.000000, 0.000637, 0.000695, 0.000000, 0.000000, 0.000000, 0.000405, 0.000864,
4, 4, 0.003105, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000540,
4, 3, 0.000888, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000270,
4, 2, 0.000270, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000135,
4, 1, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
3, 40, 0.078075, 0.104396, 0.017531, 0.114991, 0.055352, 0.076378, 0.034795, 0.075122, 0.055352, 0.103518,
3, 39, 0.061652, 0.088241, 0.015590, 0.106545, 0.049445, 0.059600, 0.029500, 0.074790, 0.052623, 0.097092,
3, 38, 0.049604, 0.076005, 0.014067, 0.090458, 0.042401, 0.045446, 0.025669, 0.068240, 0.051408, 0.093285,
3, 37, 0.041305, 0.066774, 0.012911, 0.082142, 0.039066, 0.036979, 0.023401, 0.063914, 0.049221, 0.090531,
3, 36, 0.034857, 0.059954, 0.011656, 0.074974, 0.033359, 0.029327, 0.020658, 0.058774, 0.046629, 0.087399,
3, 35, 0.030780, 0.053708, 0.010616, 0.070732, 0.030659, 0.025380, 0.019410, 0.053447, 0.044604, 0.083700,
3, 34, 0.027724, 0.049823, 0.009631, 0.066596, 0.029160, 0.021600, 0.018360, 0.051046, 0.042606, 0.079164,
3, 33, 0.025234, 0.046124, 0.008608, 0.061752, 0.027030, 0.019691, 0.016924, 0.048060, 0.040770, 0.076491,
3, 32, 0.023077, 0.041969, 0.007979, 0.056827, 0.025140, 0.017820, 0.016160, 0.044642, 0.039015, 0.070686,
3, 31, 0.021400, 0.036302, 0.007560, 0.053482, 0.023668, 0.016821, 0.015395, 0.042120, 0.037098, 0.066609,
3, 30, 0.020520, 0.030996, 0.006750, 0.048870, 0.021889, 0.015401, 0.013522, 0.038483, 0.035262, 0.060291,
3, 29, 0.019440, 0.026908, 0.006326, 0.041945, 0.018973, 0.014148, 0.012434, 0.034403, 0.032994, 0.057537,
3, 28, 0.018338, 0.024430, 0.005821, 0.036790, 0.017866, 0.013716, 0.011640, 0.032419, 0.031644, 0.053784,
3, 27, 0.016786, 0.022540, 0.005373, 0.033693, 0.016330, 0.013365, 0.010665, 0.029511, 0.029943, 0.050787,
3, 26, 0.016200, 0.020193, 0.005046, 0.031199, 0.015506, 0.012736, 0.009450, 0.025353, 0.027405, 0.046332,
3, 25, 0.015398, 0.018800, 0.004822, 0.027540, 0.014472, 0.011745, 0.009180, 0.019686, 0.025596, 0.040716,
3, 24, 0.014920, 0.017221, 0.004482, 0.025650, 0.014013, 0.011300, 0.008648, 0.016268, 0.021843, 0.033561,
3, 23, 0.014504, 0.016697, 0.004161, 0.024138, 0.012428, 0.010978, 0.008127, 0.013770, 0.017307, 0.027756,
3, 22, 0.014056, 0.015390, 0.003883, 0.022178, 0.011632, 0.010562, 0.007749, 0.012150, 0.014769, 0.021438,
3, 21, 0.013106, 0.014850, 0.003645, 0.021179, 0.011389, 0.009693, 0.006990, 0.009720, 0.012852, 0.016524,
3, 20, 0.012304, 0.014313, 0.003378, 0.017896, 0.010800, 0.008039, 0.005608, 0.008039, 0.010530, 0.013392,
3, 19, 0.010492, 0.013522, 0.002511, 0.014777, 0.007409, 0.007290, 0.005146, 0.007028, 0.007992, 0.011475,
3, 18, 0.009701, 0.012528, 0.002133, 0.012866, 0.006450, 0.006210, 0.003378, 0.006518, 0.005508, 0.008370,
3, 17, 0.009126, 0.010238, 0.001350, 0.010371, 0.004709, 0.005443, 0.002819, 0.006102, 0.004428, 0.006750,
3, 16, 0.008222, 0.008389, 0.001091, 0.008802, 0.003575, 0.004763, 0.001987, 0.005670, 0.003294, 0.005751,
3, 15, 0.007533, 0.005940, 0.000729, 0.007295, 0.003119, 0.003456, 0.001350, 0.004174, 0.001809, 0.004401,
3, 14, 0.007428, 0.004490, 0.000521, 0.006091, 0.002376, 0.002835, 0.000794, 0.003213, 0.001026, 0.003753,
3, 13, 0.007220, 0.003780, 0.000405, 0.005076, 0.001931, 0.002214, 0.000540, 0.002627, 0.000648, 0.003267,
3, 12, 0.006899, 0.002975, 0.000000, 0.004304, 0.001661, 0.001782, 0.000270, 0.002117, 0.000000, 0.002808,
3, 11, 0.006615, 0.002627, 0.000000, 0.003726, 0.001512, 0.000702, 0.000000, 0.001436, 0.000000, 0.002052,
3, 10, 0.006210, 0.002022, 0.000000, 0.003305, 0.001242, 0.000270, 0.000000, 0.001080, 0.000000, 0.001890,
3, 9, 0.006178, 0.001647, 0.000000, 0.002484, 0.001094, 0.000000, 0.000000, 0.000810, 0.000000, 0.001350,
3, 8, 0.005765, 0.001339, 0.000000, 0.001890, 0.000891, 0.000000, 0.000000, 0.000000, 0.000000, 0.001296,
3, 7, 0.005400, 0.000950, 0.000000, 0.001350, 0.000783, 0.000000, 0.000000, 0.000000, 0.000000, 0.000459,
3, 6, 0.004930, 0.000602, 0.000000, 0.000875, 0.000675, 0.000000, 0.000000, 0.000000, 0.000000, 0.000270,
3, 5, 0.004504, 0.000416, 0.000000, 0.000410, 0.000527, 0.000000, 0.000000, 0.000000, 0.000081, 0.000135,
3, 4, 0.002430, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
3, 3, 0.000427, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
3, 2, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
3, 1, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
2, 40, 0.077418, 0.103451, 0.016828, 0.109064, 0.054341, 0.075962, 0.034795, 0.075122, 0.051976, 0.081459,
2, 39, 0.060720, 0.087215, 0.014756, 0.103532, 0.048041, 0.059297, 0.029376, 0.074115, 0.050193, 0.077382,
2, 38, 0.048859, 0.074947, 0.013362, 0.089180, 0.041598, 0.045021, 0.025537, 0.066803, 0.048722, 0.074655,
2, 37, 0.040158, 0.065781, 0.012126, 0.080282, 0.038175, 0.036686, 0.023178, 0.062884, 0.047088, 0.072630,
2, 36, 0.033881, 0.058774, 0.011001, 0.072895, 0.032542, 0.028434, 0.020461, 0.057424, 0.045225, 0.069728,
2, 35, 0.030294, 0.052831, 0.009800, 0.069422, 0.029587, 0.024311, 0.019232, 0.052294, 0.043254, 0.067311,
2, 34, 0.026957, 0.048824, 0.008847, 0.065224, 0.028054, 0.020655, 0.018095, 0.049876, 0.041553, 0.064112,
2, 33, 0.024349, 0.045159, 0.007976, 0.060371, 0.026226, 0.018652, 0.016776, 0.047385, 0.039704, 0.061695,
2, 32, 0.022078, 0.040951, 0.007202, 0.055330, 0.024365, 0.017145, 0.016065, 0.043944, 0.037719, 0.057699,
2, 31, 0.020733, 0.035223, 0.006791, 0.052327, 0.022850, 0.015790, 0.015233, 0.041124, 0.035964, 0.054810,
2, 30, 0.019626, 0.029984, 0.006021, 0.046551, 0.021086, 0.014673, 0.013133, 0.037757, 0.034007, 0.049923,
2, 29, 0.018765, 0.025923, 0.005677, 0.039731, 0.018291, 0.013707, 0.011973, 0.033543, 0.031847, 0.047048,
2, 28, 0.017539, 0.023491, 0.005192, 0.035180, 0.017033, 0.013349, 0.011092, 0.031296, 0.029970, 0.044240,
2, 27, 0.016270, 0.021488, 0.004753, 0.032258, 0.015628, 0.012909, 0.010419, 0.028179, 0.028202, 0.041756,
2, 26, 0.015525, 0.019557, 0.004390, 0.029942, 0.014652, 0.012207, 0.009339, 0.024975, 0.025745, 0.037679,
2, 25, 0.014638, 0.018036, 0.004146, 0.026314, 0.013797, 0.011314, 0.009099, 0.018864, 0.023517, 0.032832,
2, 24, 0.014075, 0.016575, 0.003788, 0.024444, 0.013045, 0.010780, 0.008541, 0.015587, 0.019710, 0.028013,
2, 23, 0.013597, 0.015638, 0.003430, 0.022970, 0.011632, 0.010471, 0.008031, 0.012675, 0.015296, 0.023004,
2, 22, 0.012968, 0.014715, 0.003089, 0.021096, 0.010990, 0.009929, 0.007642, 0.010846, 0.012825, 0.017253,
2, 21, 0.012088, 0.014175, 0.002884, 0.020046, 0.010148, 0.009032, 0.006813, 0.008261, 0.010449, 0.013500,
2, 20, 0.010976, 0.013381, 0.002693, 0.016732, 0.009381, 0.007742, 0.005400, 0.006437, 0.008100, 0.010841,
2, 19, 0.009566, 0.012631, 0.001836, 0.013686, 0.007125, 0.006782, 0.003923, 0.005431, 0.005589, 0.008613,
2, 18, 0.008982, 0.011349, 0.001458, 0.011744, 0.005708, 0.005742, 0.002724, 0.004884, 0.003618, 0.006764,
2, 17, 0.008273, 0.009439, 0.000845, 0.009291, 0.004250, 0.004857, 0.002327, 0.004469, 0.002673, 0.004847,
2, 16, 0.007679, 0.007704, 0.000545, 0.007737, 0.003394, 0.003988, 0.001534, 0.004045, 0.001742, 0.003834,
2, 15, 0.007236, 0.005265, 0.000365, 0.006442, 0.002565, 0.003089, 0.000675, 0.003023, 0.000959, 0.002808,
2, 14, 0.007090, 0.003787, 0.000261, 0.004990, 0.001802, 0.002400, 0.000397, 0.002249, 0.000608, 0.002457,
2, 13, 0.006877, 0.003029, 0.000203, 0.004076, 0.001404, 0.001835, 0.000270, 0.001814, 0.000324, 0.002012,
2, 12, 0.006575, 0.002311, 0.000000, 0.003502, 0.001249, 0.001458, 0.000135, 0.001436, 0.000000, 0.001850,
2, 11, 0.006314, 0.001836, 0.000000, 0.003051, 0.001114, 0.000597, 0.000000, 0.000841, 0.000000, 0.001350,
2, 10, 0.005971, 0.001434, 0.000000, 0.002570, 0.000945, 0.000230, 0.000000, 0.000540, 0.000000, 0.001215,
2, 9, 0.005627, 0.001172, 0.000000, 0.001809, 0.000783, 0.000019, 0.000000, 0.000405, 0.000000, 0.000675,
2, 8, 0.005144, 0.000940, 0.000000, 0.001276, 0.000668, 0.000038, 0.000000, 0.000000, 0.000000, 0.000648,
2, 7, 0.004686, 0.000622, 0.000000, 0.000890, 0.000581, 0.000009, 0.000000, 0.000000, 0.000000, 0.000230,
2, 6, 0.004247, 0.000428, 0.000000, 0.000541, 0.000473, 0.000019, 0.000000, 0.000000, 0.000000, 0.000135,
2, 5, 0.003857, 0.000269, 0.000000, 0.000320, 0.000419, 0.000000, 0.000000, 0.000000, 0.000041, 0.000068,
2, 4, 0.001459, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
2, 3, 0.000213, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
2, 2, 0.000011, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
2, 1, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
1, 40, 0.076761, 0.102506, 0.016124, 0.103138, 0.053330, 0.075546, 0.034795, 0.075122, 0.048600, 0.059400,
1, 39, 0.059789, 0.086189, 0.013921, 0.100518, 0.046637, 0.058995, 0.029252, 0.073440, 0.047763, 0.057672,
1, 38, 0.048114, 0.073888, 0.012658, 0.087901, 0.040794, 0.044596, 0.025404, 0.065367, 0.046035, 0.056025,
1, 37, 0.039012, 0.064789, 0.011340, 0.078422, 0.037284, 0.036393, 0.022955, 0.061854, 0.044955, 0.054729,
1, 36, 0.032905, 0.057594, 0.010346, 0.070816, 0.031725, 0.027540, 0.020264, 0.056074, 0.043821, 0.052056,
1, 35, 0.029808, 0.051953, 0.008983, 0.068113, 0.028515, 0.023242, 0.019054, 0.051141, 0.041904, 0.050922,
1, 34, 0.026190, 0.047825, 0.008062, 0.063852, 0.026949, 0.019710, 0.017831, 0.048705, 0.040500, 0.049059,
1, 33, 0.023463, 0.044194, 0.007344, 0.058990, 0.025423, 0.017612, 0.016629, 0.046710, 0.038637, 0.046899,
1, 32, 0.021079, 0.039933, 0.006426, 0.053833, 0.023590, 0.016470, 0.015971, 0.043246, 0.036423, 0.044712,
1, 31, 0.020066, 0.034144, 0.006021, 0.051173, 0.022032, 0.014758, 0.015071, 0.040127, 0.034830, 0.043011,
1, 30, 0.018733, 0.028971, 0.005292, 0.044231, 0.020282, 0.013946, 0.012744, 0.037031, 0.032751, 0.039555,
1, 29, 0.018090, 0.024937, 0.005027, 0.037517, 0.017609, 0.013265, 0.011513, 0.032684, 0.030699, 0.036558,
1, 28, 0.016740, 0.022553, 0.004563, 0.033569, 0.016200, 0.012982, 0.010544, 0.030173, 0.028296, 0.034695,
1, 27, 0.015755, 0.020436, 0.004134, 0.030823, 0.014926, 0.012452, 0.010174, 0.026846, 0.026460, 0.032724,
1, 26, 0.014850, 0.018922, 0.003734, 0.028685, 0.013797, 0.011678, 0.009229, 0.024597, 0.024084, 0.029025,
1, 25, 0.013878, 0.017272, 0.003470, 0.025088, 0.013122, 0.010884, 0.009018, 0.018041, 0.021438, 0.024948,
1, 24, 0.013230, 0.015930, 0.003094, 0.023239, 0.012077, 0.010260, 0.008435, 0.014907, 0.017577, 0.022464,
1, 23, 0.012690, 0.014580, 0.002700, 0.021803, 0.010835, 0.009963, 0.007935, 0.011580, 0.013284, 0.018252,
1, 22, 0.011880, 0.014040, 0.002295, 0.020015, 0.010349, 0.009296, 0.007536, 0.009542, 0.010881, 0.013068,
1, 21, 0.011070, 0.013500, 0.002122, 0.018914, 0.008907, 0.008370, 0.006637, 0.006801, 0.008046, 0.010476,
1, 20, 0.009647, 0.012450, 0.002009, 0.015568, 0.007962, 0.007444, 0.005192, 0.004836, 0.005670, 0.008289,
1, 19, 0.008640, 0.011740, 0.001161, 0.012596, 0.006842, 0.006275, 0.002700, 0.003834, 0.003186, 0.005751,
1, 18, 0.008262, 0.010171, 0.000783, 0.010622, 0.004965, 0.005273, 0.002071, 0.003251, 0.001728, 0.005157,
1, 17, 0.007420, 0.008640, 0.000340, 0.008211, 0.003791, 0.004271, 0.001836, 0.002835, 0.000918, 0.002943,
1, 16, 0.007136, 0.007020, 0.000000, 0.006672, 0.003213, 0.003213, 0.001080, 0.002419, 0.000189, 0.001917,
1, 15, 0.006939, 0.004590, 0.000000, 0.005589, 0.002012, 0.002722, 0.000000, 0.001871, 0.000108, 0.001215,
1, 14, 0.006753, 0.003083, 0.000000, 0.003888, 0.001229, 0.001966, 0.000000, 0.001285, 0.000189, 0.001161,
1, 13, 0.006534, 0.002279, 0.000000, 0.003075, 0.000878, 0.001455, 0.000000, 0.001002, 0.000000, 0.000756,
1, 12, 0.006251, 0.001647, 0.000000, 0.002700, 0.000837, 0.001134, 0.000000, 0.000756, 0.000000, 0.000891,
1, 11, 0.006013, 0.001045, 0.000000, 0.002376, 0.000716, 0.000491, 0.000000, 0.000246, 0.000000, 0.000648,
1, 10, 0.005732, 0.000845, 0.000000, 0.001836, 0.000648, 0.000189, 0.000000, 0.000000, 0.000000, 0.000540,
1, 9, 0.005076, 0.000697, 0.000000, 0.001134, 0.000473, 0.000038, 0.000000, 0.000000, 0.000000, 0.000000,
1, 8, 0.004523, 0.000540, 0.000000, 0.000662, 0.000446, 0.000076, 0.000000, 0.000000, 0.000000, 0.000000,
1, 7, 0.003972, 0.000294, 0.000000, 0.000429, 0.000378, 0.000019, 0.000000, 0.000000, 0.000000, 0.000000,
1, 6, 0.003564, 0.000254, 0.000000, 0.000208, 0.000270, 0.000038, 0.000000, 0.000000, 0.000000, 0.000000,
1, 5, 0.003210, 0.000122, 0.000000, 0.000230, 0.000311, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
1, 4, 0.000489, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
1, 3, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
1, 2, 0.000022, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
1, 1, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000,
-1], "");
temperature_weights_database = VectorParam.Int([
71, 1,
72, 2,
73, 3,
74, 4,
75, 5,
76, 5,
77, 6,
78, 7,
79, 8,
80, 10,
81, 11,
82, 12,
83, 12,
84, 13,
85, 14,
86, 16,
87, 17,
88, 18,
89, 19,
90, 20,
91, 22,
92, 24,
93, 26,
94, 27,
95, 29,
96, 30,
97, 32,
98, 35,
99, 37,
100, 39,
101, 42,
102, 45,
103, 47,
104, 50,
105, 53,
106, 56,
107, 61,
108, 65,
109, 70,
110, 74,
111, 78,
112, 82,
113, 89,
114, 95,
115, 100,
116, 106,
117, 115,
118, 122,
119, 130,
120, 139,
121, 147,
122, 156,
123, 169,
124, 178,
125, 190,
-1], "");

View file

@ -0,0 +1,43 @@
# Copyright (c) 2011 Massachusetts Institute of Technology
# All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions are
# met: redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer;
# redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in the
# documentation and/or other materials provided with the distribution;
# neither the name of the copyright holders nor the names of its
# contributors may be used to endorse or promote products derived from
# this software without specific prior written permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
# A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
# OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
# SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
# LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
# DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
# THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
# (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
# OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#
# Authors: Konstantinos Aisopos
# Official Tool Website: www.mit.edu/~kaisopos/FaultModel
#
# If you use our tool for academic research, we request that you cite:
# Konstantinos Aisopos, Chia-Hsin Owen Chen, and Li-Shiuan Peh. Enabling
# System-Level Modeling of Variation-Induced Faults in Networks-on-Chip.
# Proceedings of the 48th Design Automation Conference (DAC'11)
Import('*')
if env['PROTOCOL'] == 'None':
Return()
SimObject('FaultModel.py')
Source('FaultModel.cc')

View file

@ -38,6 +38,9 @@ BaseGarnetNetwork::BaseGarnetNetwork(const Params *p)
{ {
m_ni_flit_size = p->ni_flit_size; m_ni_flit_size = p->ni_flit_size;
m_vcs_per_vnet = p->vcs_per_vnet; m_vcs_per_vnet = p->vcs_per_vnet;
m_enable_fault_model = p->enable_fault_model;
if (m_enable_fault_model)
fault_model = p->fault_model;
m_ruby_start = 0; m_ruby_start = 0;
m_flits_received = 0; m_flits_received = 0;

View file

@ -38,6 +38,7 @@
#include "mem/ruby/network/garnet/NetworkHeader.hh" #include "mem/ruby/network/garnet/NetworkHeader.hh"
#include "mem/ruby/network/Network.hh" #include "mem/ruby/network/Network.hh"
#include "mem/ruby/network/fault_model/FaultModel.hh"
#include "params/BaseGarnetNetwork.hh" #include "params/BaseGarnetNetwork.hh"
#include "math.h" #include "math.h"
@ -50,10 +51,13 @@ class BaseGarnetNetwork : public Network
void init(); void init();
int getNiFlitSize() {return m_ni_flit_size; } int getNiFlitSize() {return m_ni_flit_size; }
int getVCsPerVnet() {return m_vcs_per_vnet; } int getVCsPerVnet() {return m_vcs_per_vnet; }
bool isFaultModelEnabled() {return m_enable_fault_model;}
FaultModel* fault_model;
protected: protected:
int m_ni_flit_size; int m_ni_flit_size;
int m_vcs_per_vnet; int m_vcs_per_vnet;
bool m_enable_fault_model;
int m_flits_received; int m_flits_received;
int m_flits_injected; int m_flits_injected;

View file

@ -36,3 +36,5 @@ class BaseGarnetNetwork(RubyNetwork):
abstract = True abstract = True
ni_flit_size = Param.Int(16, "network interface flit size in bytes") ni_flit_size = Param.Int(16, "network interface flit size in bytes")
vcs_per_vnet = Param.Int(4, "virtual channels per virtual network"); vcs_per_vnet = Param.Int(4, "virtual channels per virtual network");
enable_fault_model = Param.Bool(False, "enable network fault model");
fault_model = Param.FaultModel(NULL, "network fault model");

View file

@ -97,6 +97,23 @@ GarnetNetwork_d::init()
NetworkLink_d* net_link = safe_cast<NetworkLink_d*>(*i); NetworkLink_d* net_link = safe_cast<NetworkLink_d*>(*i);
net_link->init_net_ptr(this); net_link->init_net_ptr(this);
} }
// FaultModel: declare each router to the fault model
if(isFaultModelEnabled()){
for (vector<Router_d*>::const_iterator i= m_router_ptr_vector.begin();
i != m_router_ptr_vector.end(); ++i) {
Router_d* router = safe_cast<Router_d*>(*i);
int router_id=fault_model->declare_router(router->get_num_inports(),
router->get_num_outports(),
router->get_vc_per_vnet(),
getBuffersPerDataVC(),
getBuffersPerCtrlVC());
assert(router_id == router->get_id());
router->printAggregateFaultProbability(cout);
router->printFaultVector(cout);
}
}
} }
GarnetNetwork_d::~GarnetNetwork_d() GarnetNetwork_d::~GarnetNetwork_d()

View file

@ -39,6 +39,7 @@
#include "mem/ruby/network/Network.hh" #include "mem/ruby/network/Network.hh"
#include "params/GarnetNetwork_d.hh" #include "params/GarnetNetwork_d.hh"
class FaultModel;
class NetworkInterface_d; class NetworkInterface_d;
class MessageBuffer; class MessageBuffer;
class Router_d; class Router_d;

View file

@ -189,6 +189,35 @@ Router_d::printConfig(ostream& out)
out << "]" << endl; out << "]" << endl;
} }
void
Router_d::printFaultVector(ostream& out)
{
int temperature_celcius = BASELINE_TEMPERATURE_CELCIUS;
int num_fault_types = m_network_ptr->fault_model->number_of_fault_types;
float fault_vector[num_fault_types];
get_fault_vector(temperature_celcius, fault_vector);
out << "Router-" << m_id << " fault vector: " << endl;
for (int fault_type_index = 0; fault_type_index < num_fault_types;
fault_type_index++){
out << " - probability of (";
out <<
m_network_ptr->fault_model->fault_type_to_string(fault_type_index);
out << ") = ";
out << fault_vector[fault_type_index] << endl;
}
}
void
Router_d::printAggregateFaultProbability(std::ostream& out)
{
int temperature_celcius = BASELINE_TEMPERATURE_CELCIUS;
float aggregate_fault_prob;
get_aggregate_fault_probability(temperature_celcius,
&aggregate_fault_prob);
out << "Router-" << m_id << " fault probability: ";
out << aggregate_fault_prob << endl;
}
Router_d * Router_d *
GarnetRouter_dParams::create() GarnetRouter_dParams::create()
{ {

View file

@ -50,6 +50,7 @@ class RoutingUnit_d;
class VCallocator_d; class VCallocator_d;
class SWallocator_d; class SWallocator_d;
class Switch_d; class Switch_d;
class FaultModel;
class Router_d : public BasicRouter class Router_d : public BasicRouter
{ {
@ -86,6 +87,8 @@ class Router_d : public BasicRouter
void vcarb_req(); void vcarb_req();
void swarb_req(); void swarb_req();
void printConfig(std::ostream& out); void printConfig(std::ostream& out);
void printFaultVector(std::ostream& out);
void printAggregateFaultProbability(std::ostream& out);
double calculate_power(); double calculate_power();
void calculate_performance_numbers(); void calculate_performance_numbers();
@ -93,6 +96,15 @@ class Router_d : public BasicRouter
double get_dynamic_power(){return m_power_dyn;} double get_dynamic_power(){return m_power_dyn;}
double get_static_power(){return m_power_sta;} double get_static_power(){return m_power_sta;}
double get_clk_power(){return m_clk_power;} double get_clk_power(){return m_clk_power;}
bool get_fault_vector(int temperature, float fault_vector[]){
return m_network_ptr->fault_model->fault_vector(m_id, temperature,
fault_vector);
}
bool get_aggregate_fault_probability(int temperature,
float *aggregate_fault_prob){
return m_network_ptr->fault_model->fault_prob(m_id, temperature,
aggregate_fault_prob);
}
private: private:
int m_virtual_networks, m_num_vcs, m_vc_per_vnet; int m_virtual_networks, m_num_vcs, m_vc_per_vnet;